escurrimiento-andrez graficas

dimensiones de los tubos

Kc m tubo Largo (m) Diametro (m) D^20.35317795799 1.5720180266686 1 0.196 0.0048 0.000023040.35282191622 1.03613314164767 2 0.196 0.0067 0.000044890.35288595485 1.09719571066042 5 0.196 0.0064 0.000040960.35257468309 2.55595888008802 3 0.58 0.00775 0.00006006250.35263680708 1.65283278499916 4 0.36 0.0075 0.000056250.35263680708 0.665724316180218 6 0.145 0.0075 0.00005625

datos de tiempoTubo 1 Tubo 2

1 corrida 2 corrida 1 corrida h(m) t (s) t (s) t (s)0.293 0 0 00.273 9.47 9.54 3.530.253 9.26 9.26 3.80.233 9.29 8.79 3.190.213 8.46 8.65 3.530.193 9.19 10.02 3.410.173 9.68 9.99 3.860.153 10.11 8.9 3.350.133 9.99 10.07 40.113 9.79 10.89 3.940.093 9.99 10.33 3.990.073 10.16 10.41 3.910.053 11.57 9.39 4.350.033 10.34 11.48 4.450.013 11.39 12.57 4.51

Tubo 1 Tubo 2 1 corrida 2 corrida 1 corrida

h(m) t (s) t (s) t (s)0.293 0 0 00.273 9.47 9.54 3.530.253 18.73 18.8 7.330.233 28.02 27.59 10.520.213 36.48 36.24 14.050.193 45.67 46.26 17.460.173 55.35 56.25 21.320.153 65.46 65.15 24.670.133 75.45 75.22 28.670.113 85.24 86.11 32.610.093 95.23 96.44 36.60.073 105.39 106.85 40.510.053 116.96 116.24 44.86

0.033 127.3 127.72 49.310.013 138.69 140.29 53.82

H del cono0.09

Método de Bird - Crosby

Tubo 1

2^(1/7) 1.10408951367381 h(m) t prom (s) C veloc (m/s)g^(4/7) 3.68695641967792 0.293 0 0.2365321802 3.2848537265Rt^(5/7) 0.0134500009653235 0.273 9.505 3.2260742832ρ^(1/7) 2.68216660790694 0.253 18.765 3.166480374Ht^(4/7) 0.394071382874248 0.233 27.805 3.10603311810.0791^(4/7) 0.234631632328915 0.213 36.36 3.0446903698μ^(1/7) 0.37567226315289 0.193 45.965 2.9824063171

0.173 55.8 2.9191310155C 0.23653218 0.153 65.305 2.8548098406

0.133 75.335 2.78938284430.113 85.675 2.7227839915

0.259054324830525 0.093 95.835 2.65494024920.073 106.12 2.58577049140.053 116.6 2.51518417250.033 127.51 2.44307970470.013 139.49 2.3693424558

Tubo 2

h(m) t prom (s) C veloc (m/s)0.293 0 0.1863964721 4.16839227130.273 3.6 4.09380271640.253 7.31 4.0181796260.233 10.475 3.94147366120.213 14.175 3.86363134020.193 17.62 3.78459452910.173 21.345 3.70429984930.153 24.83 3.6226779840.133 28.94 3.53965286070.113 32.85 3.45514068250.093 36.685 3.36904877260.073 40.785 3.28127418420.053 45.07 3.19170201740.033 49.51 3.10020335980.013 54.01 3.0066327462

Tubo 5


Tubo 3


Tubo 4

h(m) t prom (s) C veloc (m/s)0.293 0 0.2434058619 3.63457674770.273 3.805 3.58282797680.253 7.525 3.5305124413

0.233 10.95 3.47760890550.213 14.93 3.42409474450.193 18.935 3.36994581230.173 22.655 3.31513629350.153 26.95 3.25963853540.133 30.815 3.20342285760.113 35 3.14645733580.093 39.005 3.08870755470.073 42.875 3.03013632390.053 47.21 2.97070335180.033 51.69 2.91036486680.013 55.765 2.8490731777

Tubo 6


Datos del Agua angulo T (°C) g (m/s2) Tanque 1 -

18 998.62 0.001056 9.81 Tanque 2 45ºTanque 3 60º

Diámetro 0.1473D^2 0.02169729

alfa 1

Tubo 2 Tubo 5 Tubo 3 Tubo 42 corrida 1 corrida 2 corrida 1 corrida 2 corrida 1 corrida 2 corrida

t (s) t (s) t (s) t (s) t (s) t (s) t (s)0 0 0 0 0 0 0

3.67 3.73 3.84 3.91 3.92 3.79 3.823.62 3.8 3.79 3.86 3.8 3.78 3.663.14 3.62 3.45 3.65 3.57 3.32 3.533.87 4.28 3.82 4.04 3.88 3.78 4.183.48 3.63 3.99 3.42 3.64 3.92 4.093.59 4.02 4.13 3.92 3.93 4.01 3.433.62 3.95 4.1 3.68 3.73 4.34 4.254.22 4.4 3.97 4.53 4.45 3.66 4.073.88 4.2 4.53 4.1 3.92 4.14 4.233.68 3.89 4.26 4.48 4.38 4.12 3.894.29 4.46 4.38 4.37 4.57 3.78 3.964.22 4.41 4.52 4.35 4.37 4.52 4.154.43 4.71 5.37 4.93 4.65 4.28 4.684.49 4.83 3.9 5.24 4.99 4.02 4.13


t (s) t (s) t (s) t (s) t (s) t (s) t (s)0 0 0 0 0 0 0

3.67 3.73 3.84 3.91 3.92 3.79 3.827.29 7.53 7.63 7.77 7.72 7.57 7.48

10.43 11.15 11.08 11.42 11.29 10.89 11.0114.3 15.43 14.9 15.46 15.17 14.67 15.19

17.78 19.06 18.89 18.88 18.81 18.59 19.2821.37 23.08 23.02 22.8 22.74 22.6 22.7124.99 27.03 27.12 26.48 26.47 26.94 26.9629.21 31.43 31.09 31.01 30.92 30.6 31.0333.09 35.63 35.62 35.11 34.84 34.74 35.2636.77 39.52 39.88 39.59 39.22 38.86 39.1541.06 43.98 44.26 43.96 43.79 42.64 43.1145.28 48.39 48.78 48.31 48.16 47.16 47.26

ρ (kg/m3) μ (Kg/m.s)

49.71 53.1 54.15 53.24 52.81 51.44 51.9454.2 57.93 58.05 58.48 57.8 55.46 56.07

H de la base total0.064 0.154

Re t escurrimiento (s) %desviacion 14,910.55 0 0 14,643.74 5.36226269414594 77.2572614 14,373.23 10.8111835771975 73.5702651 14,098.85 16.3507264065561 70.0536068 13,820.40 21.9851605440185 65.3842824 13,537.68 27.7190946961402 65.824319 13,250.47 33.5575155754455 66.281678 12,958.50 39.5058323860979 65.3047058 12,661.52 45.5699282400526 65.3173549 12,359.21 51.7562198662144 65.5356597 12,051.26 58.0717273026861 65.0286714 11,737.28 64.5241556839375 64.4655383 11,416.88 71.1219917825515 63.9436651 11,089.58 77.8746186835159 63.7375594 10,754.88 84.7924529205059 64.5075655




Re t escurrimiento (s) %desviacion 25,778.13 0 0 25,411.11 2.01099128629545 89.2101684 25,040.06 4.04836313687911 85.8775941

24,664.84 6.11308965604553 79.1238247 24,285.29 8.20620522671625 81.9354938 23,901.24 10.3288098192747 83.3221865 23,512.51 12.4820749140532 81.5002726 23,118.89 14.66725012617 83.7426905 22,720.19 16.885670636942 82.4920115 22,316.16 19.1387655548396 82.8749085 21,906.57 21.428067351689 82.0276153 21,491.16 23.7552225475455 80.4866274 21,069.63 26.1220038516419 80.7288609 20,641.68 28.5303240087031 81.1756501 20,206.97 30.9822516518579 79.9901461


h de la base al visor H del tronco de cono1 0.064 0

0.70710678 0.064 0.0620.5 0.064 0.09

Tubo 61 corrida 2 corrida

t (s) t (s)0 0

3.29 2.942.22 2.462.72 2.522.78 2.832.78 2.972.93 2.692.83 2.542.95 32.61 3.742.65 2.163.48 2.833.27 3.383.27 3.143.34 3.1

Tubo 61 corrida 2 corrida Tubo 1 Tubo 2

t (s) t (s) h(m) t prom (s) t prom (s)0 0 0.293 0 0

3.29 2.94 0.273 9.505 3.65.51 5.4 0.253 18.765 7.318.23 7.92 0.233 27.805 10.475

11.01 10.75 0.213 36.36 14.17513.79 13.72 0.193 45.965 17.6216.72 16.41 0.173 55.8 21.34519.55 18.95 0.153 65.305 24.8322.5 21.95 0.133 75.335 28.94

25.11 25.69 0.113 85.675 32.8527.76 27.85 0.093 95.835 36.68531.24 30.68 0.073 106.12 40.78534.51 34.06 0.053 116.6 45.07

Seno (Ɵ/2)

37.78 37.2 0.033 127.51 49.5141.12 40.3 0.013 139.49 54.01

angulo seno (θ/2) raiz1.04719755 0.866025403784439 0.9306048591021

Método de Ocon-Tojo

Tubo 1Velocidades iteradas

h(m) tprom (s) Kc Vsupues(m/s) V1 V20.293 0 0.464808332455198 0 00.273 9.505 2 2.23984427 2.254834440.253 18.765 2 2.20820646 2.221135440.233 27.805 2 2.17610873 2.186971810.213 36.36 2 2.14353041 2.152323110.193 45.965 2 2.11044925 2.117167320.173 55.8 2 2.07684122 2.081480710.153 65.305 2 2.04268032 2.045237620.133 75.335 2 2.00793833 2.008410210.113 85.675 2 1.97258454 1.970968250.093 95.835 2 1.93658544 1.932878790.073 106.12 2 1.89990437 1.894105760.053 116.6 2 1.86250101 1.854609640.033 127.51 2 1.82433096 1.814346850.013 139.49 2 1.78534503 1.77326927


h(m) tprom (s) Kc Vsupues(m/s) V1 V20.293 0 0.464339755131224 0 0 00.273 3.6 2 2.4465105 2.469256710.253 7.31 2 2.41195353 2.432812070.233 10.475 2 2.3768942 2.395858110.213 14.175 2 2.34130994 2.35837230.193 17.62 2 2.30517645 2.32033040.173 21.345 2 2.26846747 2.281706250.153 24.83 2 2.23115461 2.242471560.133 28.94 2 2.19320703 2.202595660.113 32.85 2 2.11527055 2.120783820.093 36.685 2 2.11527055 2.120783820.073 40.785 2 2.07520498 2.078771760.053 45.07 2 2.03435049 2.035965380.033 49.51 2 1.99265856 1.992316580.013 54.01 2 1.95007547 1.94777223






h(m) tprom (s) Kc Vsupues(m/s) V1 V20.293 0 0.46409613781313 0 0 00.273 3.805 2 2.47387261 2.505129250.253 7.525 2 2.44550157 2.47473605

0.233 10.95 2 2.41679751 2.444004370.213 14.93 2 2.38774841 2.412922250.193 18.935 2 2.35834152 2.3814770.173 22.655 2 2.32856328 2.349655130.153 26.95 2 2.29839927 2.31744230.133 30.815 2 2.26783409 2.284823230.113 35 2 2.2368513 2.25178160.093 39.005 2 2.20543328 2.218299970.073 42.875 2 2.17356119 2.184359650.053 47.21 2 2.14121472 2.149940560.033 51.69 2 2.10837206 2.115021130.013 55.765 2 2.07500964 2.07957809



Tubo 5 Tubo 3 Tubo 4 Tubo 6 Tubo 1 Tubo 2 Tubo 5 Tubo 3t prom (s) t prom (s) t prom (s) t prom (s) velocidad (m/s)velocidad (m/s)velocidad (m/s)velocidad (m/s)

0 0 0 0 0 0 0 03.785 3.915 3.805 3.115 1.9815311 2.6852417 2.79904356 1.84544165

7.58 7.745 7.525 5.455 2.03395822 2.60562537 2.79166795 1.8863979311.115 11.355 10.95 8.075 2.0834572 3.05430336 2.99699572 2.0013584615.165 15.315 14.93 10.88 2.20157255 2.6126676 2.61589627 1.8244707218.975 18.845 18.935 13.755 1.9609009 2.80605809 2.78067713 2.04671503

23.05 22.77 22.655 16.565 1.91504353 2.59513292 2.59984782 1.8407398927.075 26.475 26.95 19.25 1.9815311 2.77385083 2.63214407 1.95004158

31.26 30.965 30.815 22.225 1.87781188 2.35203653 2.53151252 1.6091100435.625 34.975 35 25.4 1.82151384 2.4723453 2.42712025 1.80172171

39.7 39.405 39.005 27.805 1.85378476 2.52069625 2.59984782 1.6309038544.12 43.875 42.875 30.96 1.83125456 2.3577732 2.39691853 1.61630963

48.585 48.235 47.21 34.285 1.79718064 2.25597903 2.37276145 1.65708809

53.625 53.025 51.69 37.49 1.72634767 2.177223 2.1020595 1.508330757.99 58.14 55.765 40.71 1.57215802 2.14819336 2.42712025 1.41249346

Velocidades iteradas Re iteradosV3 V4 V5 V6 Re1 Re2 Re3 Re40 0 0 0 0.00 0.00 0.00 0.00

2.25571336 2.25576469 2.25576769 2.25576787 9078.36 10167.06 10235.10 10239.092.22189465 2.22193908 2.22194168 2.22194183 9078.36 10023.45 10082.14 10085.582.1876107 2.18764816 2.18765036 2.18765049 9078.36 9877.75 9927.06 9929.96

2.15284105 2.15287149 2.15287328 2.15287338 9078.36 9729.87 9769.79 9772.142.1175637 2.11758705 2.11758842 2.11758851 9078.36 9579.71 9610.21 9612.01

2.08175491 2.0817711 2.08177205 2.08177211 9078.36 9427.16 9448.22 9449.462.04538902 2.04539797 2.0453985 2.04539854 9078.36 9272.10 9283.71 9284.392.0084382 2.00843986 2.00843995 2.00843996 9078.36 9114.40 9116.54 9116.67

1.97087222 1.97086651 1.97086617 1.97086615 9078.36 8953.92 8946.58 8946.151.93265812 1.93264497 1.93264419 1.93264414 9078.36 8790.51 8773.69 8772.691.89375988 1.89373921 1.89373798 1.8937379 9078.36 8624.01 8597.69 8596.121.85413796 1.85410969 1.854108 1.8541079 9078.36 8454.23 8418.41 8416.271.81374882 1.81371289 1.81371073 1.8137106 9078.36 8280.97 8235.65 8232.941.77254436 1.77250068 1.77249805 1.77249789 9078.36 8104.01 8049.19 8045.90


2.47028892 2.47033551 2.47033762 2.47033771 12671.88 15500.95 15645.07 15651.612.4337605 2.43380341 2.43380535 2.43380544 12671.88 15282.00 15414.15 15420.16

2.39672216 2.39676134 2.39676312 2.3967632 12671.88 15059.86 15180.02 15185.492.35915134 2.35918676 2.35918837 2.35918844 12671.88 14834.40 14942.51 14947.442.3210238 2.32105541 2.32105685 2.32105692 12671.88 14605.46 14701.48 14705.87

2.28231337 2.28234111 2.28234238 2.28234244 12671.88 14372.88 14456.76 14460.602.24299173 2.24301557 2.24301667 2.24301672 12671.88 14136.46 14208.17 14211.462.20302822 2.2030481 2.20304901 2.20304905 12671.88 13896.03 13955.52 13958.262.1210391 2.1210509 2.12105145 2.12105147 12671.88 13402.23 13437.16 13438.782.1210391 2.1210509 2.12105145 2.12105147 12671.88 13402.23 13437.16 13438.78

2.07893735 2.07894503 2.07894538 2.0789454 12671.88 13148.38 13170.98 13172.022.03604055 2.03604405 2.03604421 2.03604422 12671.88 12889.53 12899.76 12900.231.99230062 1.99229988 1.99229984 1.99229984 12671.88 12625.37 12623.20 12623.101.9476644 1.94765935 1.94765911 1.9476591 12671.88 12355.56 12340.97 12340.29


2.44315716 2.44320594 2.44320822 2.44320833 12104.48 14646.66 14780.28 14786.582.40696465 2.40700937 2.40701147 2.40701157 12104.48 14439.77 14561.77 14567.532.37026783 2.37030846 2.37031037 2.37031046 12104.48 14229.88 14340.22 14345.442.33304444 2.33308091 2.33308264 2.33308272 12104.48 14016.85 14115.47 14120.152.29527049 2.29530277 2.2953043 2.29530437 12104.48 13800.52 13887.41 13891.532.25692012 2.25694815 2.25694948 2.25694955 12104.48 13580.76 13655.85 13659.432.21796536 2.2179891 2.21799023 2.21799028 12104.48 13357.37 13420.64 13423.662.1783759 2.17839529 2.17839621 2.17839626 12104.48 13130.19 13181.60 13184.06

2.13811878 2.13813375 2.13813447 2.1381345 12104.48 12899.01 12938.52 12940.412.09715804 2.09716855 2.09716906 2.09716908 12104.48 12663.60 12691.18 12692.512.0554544 2.05546038 2.05546067 2.05546069 12104.48 12423.74 12439.36 12440.11

2.01296471 2.01296611 2.01296618 2.01296618 12104.48 12179.16 12182.78 12182.951.96964148 1.96963822 1.96963807 1.96963806 12104.48 11929.56 11921.15 11920.751.92543218 1.9254242 1.92542381 1.92542379 12104.48 11674.62 11654.18 11653.18


2.47800574 2.47819773 2.4782117 2.47821271 14657.77 17878.34 18141.70 18161.022.45354921 2.45373095 2.45374419 2.45374516 14657.77 17714.61 17963.51 17981.792.42888046 2.42905191 2.42906441 2.42906532 14657.77 17549.36 17783.77 17800.992.4039936 2.4041547 2.40416646 2.40416732 14657.77 17382.54 17602.43 17618.60

2.37888245 2.37903317 2.37904418 2.37904498 14657.77 17214.10 17419.45 17434.562.35354056 2.35368083 2.35369109 2.35369184 14657.77 17043.99 17234.79 17248.832.32796112 2.3280909 2.3281004 2.3281011 14657.77 16872.17 17048.38 17061.36

2.302137 2.30225624 2.30226499 2.30226563 14657.77 16698.59 16860.19 16872.102.27606071 2.27616936 2.27617733 2.27617792 14657.77 16523.18 16670.15 16680.992.24972435 2.24982235 2.24982955 2.24983008 14657.77 16345.88 16478.21 16487.982.22311958 2.22320689 2.22321331 2.22321379 14657.77 16166.65 16284.30 16292.992.19623764 2.1963142 2.19631984 2.19632025 14657.77 15985.40 16088.36 16095.982.16906924 2.169135 2.16913985 2.16914021 14657.77 15802.08 15890.33 15896.862.14160458 2.14165948 2.14166353 2.14166383 14657.77 15616.60 15690.13 15695.58


2.50695956 2.50706597 2.50707216 2.50707252 14184.94 17545.87 17767.56 17780.542.47645006 2.47654988 2.47655569 2.47655602 14184.94 17344.65 17552.00 17564.15

2.44560151 2.44569467 2.44570011 2.44570042 14184.94 17141.07 17334.03 17345.362.41440194 2.4144884 2.41449345 2.41449375 14184.94 16935.04 17113.58 17124.082.38283866 2.38291836 2.38292303 2.3829233 14184.94 16726.47 16890.56 16900.222.35089818 2.35097107 2.35097534 2.35097559 14184.94 16515.27 16664.86 16673.682.31856615 2.31863217 2.31863604 2.31863627 14184.94 16301.33 16436.39 16444.362.28582728 2.28588637 2.28588985 2.28589005 14184.94 16084.55 16205.04 16212.172.25266525 2.25271735 2.25272043 2.25272061 14184.94 15864.80 15970.70 15976.962.21906261 2.21910767 2.21911033 2.21911049 14184.94 15641.97 15733.23 15738.642.18500067 2.18503862 2.18504086 2.185041 14184.94 15415.92 15492.51 15497.062.15045936 2.15049013 2.15049196 2.15049207 14184.94 15186.50 15248.39 15252.072.11541709 2.11544063 2.11544202 2.11544211 14184.94 14953.57 15000.73 15003.542.07985059 2.07986683 2.07986779 2.07986785 14184.94 14716.95 14749.35 14751.28


2.56473065 2.56475189 2.56475257 2.5647526 14184.94 18041.65 18185.61 18190.282.52439916 2.52441888 2.52441951 2.52441954 14184.94 17767.03 17899.91 17904.232.48345167 2.48346983 2.48347042 2.48347044 14184.94 17488.10 17609.84 17613.812.44185854 2.44187514 2.44187568 2.4418757 14184.94 17204.64 17315.20 17318.812.3995877 2.3996027 2.39960319 2.3996032 14184.94 16916.43 17015.75 17019.01

2.35660428 2.35661766 2.3566181 2.35661811 14184.94 16623.23 16711.25 16714.152.31287034 2.31288207 2.31288246 2.31288247 14184.94 16324.77 16401.44 16403.972.26834441 2.26835446 2.2683548 2.26835481 14184.94 16020.74 16086.01 16088.172.22298104 2.22298939 2.22298966 2.22298967 14184.94 15710.83 15764.64 15766.432.17673024 2.17673685 2.17673707 2.17673707 14184.94 15394.69 15436.99 15438.402.12953681 2.12954165 2.12954181 2.12954182 14184.94 15071.91 15102.65 15103.682.08133957 2.08134261 2.08134271 2.08134271 14184.94 14742.07 14761.20 14761.842.03207037 2.03207157 2.03207161 2.03207161 14184.94 14404.68 14412.15 14412.401.98165296 1.98165227 1.98165225 1.98165225 14184.94 14059.19 14054.96 14054.82

Tubo 4 Tubo 6velocidad (m/s)velocidad (m/s)

0 02.02748804 2.476594542.07381505 3.296834192.25243562 2.94450076

1.9383397 2.750300181.9262402 2.68333635

2.07381505 2.745406411.79617974 2.873218621.99601345 2.593140171.84339116 2.42979276

1.9262402 3.207730561.99343463 2.44519556

1.779606 2.32017805

1.72200714 2.407048991.89315141 2.39583602

Re iterados fd iteradosRe5 Re6 fd1 fd2 fd3 fd4 fd5 fd60.00 0.00 0.0000 0 0 0 0 0

10239.33 10239.34 0.0324 0.03150922 0.03145672 0.03145365 0.03145347 0.0314534610085.79 10085.80 0.0324 0.03162148 0.03157536 0.03157266 0.03157251 0.03157259930.13 9930.14 0.0324 0.03173744 0.03169796 0.03169564 0.03169551 0.03169559772.28 9772.28 0.0324 0.03185735 0.03182477 0.03182285 0.03182274 0.031822739612.11 9612.12 0.0324 0.03198146 0.03195606 0.03195457 0.03195448 0.031954489449.54 9449.54 0.0324 0.03211007 0.03209216 0.03209111 0.03209104 0.032091049284.43 9284.44 0.0324 0.03224349 0.0322334 0.0322328 0.03223277 0.032232779116.67 9116.67 0.0324 0.03238206 0.03238016 0.03238005 0.03238004 0.032380048946.12 8946.12 0.0324 0.03252619 0.03253285 0.03253325 0.03253327 0.032533288772.63 8772.62 0.0324 0.0326763 0.03269196 0.03269289 0.03269295 0.032692958596.03 8596.02 0.0324 0.03283289 0.03285799 0.03285949 0.03285958 0.032859598416.14 8416.13 0.0324 0.03299651 0.03303155 0.03303365 0.03303378 0.033033788232.77 8232.76 0.0324 0.03316776 0.0332133 0.03321604 0.0332162 0.033216218045.70 8045.69 0.0324 0.03334737 0.03340399 0.03340741 0.03340762 0.03340763


15651.90 15651.91 0.0298 0.02835613 0.0282906 0.02828764 0.02828751 0.028287515420.44 15420.45 0.0298 0.02845715 0.02839596 0.02839319 0.02839307 0.0283930615185.74 15185.75 0.0298 0.02856151 0.02850483 0.02850226 0.02850214 0.0285021414947.67 14947.68 0.0298 0.02866942 0.02861743 0.02861507 0.02861496 0.0286149514706.07 14706.08 0.0298 0.02878112 0.02873401 0.02873186 0.02873177 0.0287317614460.78 14460.79 0.0298 0.02889685 0.02885485 0.02885293 0.02885284 0.0288528314211.61 14211.62 0.0298 0.02901692 0.02898024 0.02897856 0.02897848 0.0289784813958.38 13958.39 0.0298 0.02914163 0.02911052 0.02910909 0.02910903 0.0291090213438.85 13438.86 0.0298 0.02940642 0.02938729 0.02938641 0.02938637 0.0293863713438.85 13438.86 0.0298 0.02940642 0.02938729 0.02938641 0.02938637 0.0293863713172.07 13172.08 0.0298 0.02954734 0.02953466 0.02953407 0.02953405 0.0295340412900.26 12900.26 0.0298 0.02969458 0.02968869 0.02968842 0.02968841 0.0296884112623.10 12623.09 0.0298 0.0298487 0.02984998 0.02985004 0.02985005 0.0298500512340.26 12340.25 0.0298 0.03001033 0.0300192 0.03001962 0.03001964 0.03001964


14786.87 14786.89 0.0302 0.02876086 0.02869563 0.02869258 0.02869243 0.0286924314567.80 14567.82 0.0302 0.02886333 0.02880268 0.02879983 0.0287997 0.0287996914345.68 14345.69 0.0302 0.02896918 0.02891329 0.02891066 0.02891054 0.0289105314120.37 14120.38 0.0302 0.02907863 0.0290277 0.0290253 0.02902518 0.0290251813891.73 13891.74 0.0302 0.02919191 0.02914615 0.02914398 0.02914388 0.0291438813659.60 13659.61 0.0302 0.0293093 0.02926893 0.02926701 0.02926692 0.0292669113423.81 13423.81 0.0302 0.02943108 0.02939633 0.02939468 0.0293946 0.029394613184.18 13184.18 0.0302 0.02955757 0.02952871 0.02952733 0.02952727 0.0295272612940.50 12940.51 0.0302 0.02968913 0.02966643 0.02966535 0.0296653 0.0296652912692.57 12692.58 0.0302 0.02982615 0.02980993 0.02980915 0.02980911 0.0298091112440.14 12440.15 0.0302 0.02996908 0.02995967 0.02995922 0.02995919 0.0299591912182.96 12182.96 0.0302 0.03011842 0.03011618 0.03011607 0.03011607 0.0301160711920.73 11920.73 0.0302 0.03027474 0.03028007 0.03028033 0.03028034 0.0302803411653.13 11653.13 0.0302 0.03043868 0.03045202 0.03045267 0.0304527 0.0304527


18162.43 18162.53 0.0288 0.02736243 0.02726258 0.02725533 0.0272548 0.0272547617983.12 17983.21 0.0288 0.02742544 0.02732994 0.02732299 0.02732249 0.0273224517802.25 17802.34 0.0288 0.02748977 0.02739874 0.02739211 0.02739162 0.0273915917619.78 17619.87 0.0288 0.02755549 0.02746903 0.02746273 0.02746227 0.0274622317435.67 17435.75 0.0288 0.02762265 0.02754088 0.02753491 0.02753448 0.0275344517249.86 17249.94 0.0288 0.02769132 0.02761436 0.02760874 0.02760833 0.027608317062.32 17062.39 0.0288 0.02776155 0.02768954 0.02768427 0.02768388 0.0276838516872.98 16873.04 0.0288 0.02783342 0.02776648 0.02776158 0.02776122 0.0277611916681.79 16681.85 0.0288 0.027907 0.02784528 0.02784075 0.02784042 0.027840416488.69 16488.75 0.0288 0.02798236 0.02792602 0.02792188 0.02792157 0.0279215516293.63 16293.68 0.0288 0.0280596 0.02800878 0.02800504 0.02800477 0.0280047516096.54 16096.58 0.0288 0.0281388 0.02809367 0.02809035 0.0280901 0.0280900915897.35 15897.38 0.0288 0.02822006 0.02818079 0.0281779 0.02817769 0.0281776715695.98 15696.01 0.0288 0.02830348 0.02827026 0.02826781 0.02826763 0.02826761


17781.29 17781.34 0.0290 0.02749114 0.02740498 0.02739998 0.02739969 0.0273996717564.86 17564.90 0.0290 0.02757053 0.02748874 0.02748398 0.02748371 0.02748369

17346.02 17346.06 0.0290 0.02765203 0.02757475 0.02757025 0.02756998 0.0275699717124.69 17124.73 0.0290 0.02773575 0.02766313 0.02765889 0.02765864 0.0276586216900.78 16900.81 0.0290 0.02782181 0.02775399 0.02775003 0.0277498 0.0277497816674.20 16674.23 0.0290 0.02791034 0.02784749 0.02784381 0.02784359 0.0278435816444.83 16444.86 0.0290 0.02800146 0.02794376 0.02794037 0.02794017 0.0279401616212.58 16212.61 0.0290 0.02809534 0.02804296 0.02803988 0.0280397 0.0280396915977.33 15977.36 0.0290 0.02819212 0.02814528 0.02814252 0.02814235 0.0281423415738.96 15738.98 0.0290 0.028292 0.02825088 0.02824845 0.02824831 0.028248315497.32 15497.34 0.0290 0.02839515 0.02835999 0.02835791 0.02835778 0.0283577815252.29 15252.30 0.0290 0.02850178 0.02847282 0.0284711 0.028471 0.0284709915003.70 15003.71 0.0290 0.02861213 0.02858962 0.02858828 0.0285882 0.028588214751.40 14751.40 0.0290 0.02872646 0.02871067 0.02870973 0.02870967 0.02870967

Re iterados fd iteradosRe5 Re6 fd1 fd2 fd3 fd4 fd5 fd60.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00

18190.43 18190.43 0.0290 0.0273003 0.02724611 0.02724436 0.02724431 0.027244317904.37 17904.37 0.0290 0.02740519 0.02735418 0.02735253 0.02735248 0.0273524817613.94 17613.94 0.0290 0.02751382 0.02746614 0.02746459 0.02746454 0.0274645417318.93 17318.93 0.0290 0.02762645 0.02758224 0.02758081 0.02758076 0.0275807617019.11 17019.12 0.0290 0.02774337 0.0277028 0.02770148 0.02770143 0.0277014316714.24 16714.25 0.0290 0.02786491 0.02782814 0.02782694 0.0278269 0.027826916404.05 16404.05 0.0290 0.02799141 0.02795864 0.02795756 0.02795752 0.0279575216088.24 16088.24 0.0290 0.02812327 0.0280947 0.02809376 0.02809373 0.0280937315766.49 15766.49 0.0290 0.02826094 0.0282368 0.028236 0.02823597 0.0282359715438.44 15438.45 0.0290 0.02840493 0.02838545 0.02838481 0.02838478 0.0283847815103.71 15103.71 0.0290 0.0285558 0.02854126 0.02854078 0.02854076 0.0285407614761.86 14761.86 0.0290 0.02871421 0.0287049 0.02870459 0.02870458 0.0287045814412.41 14412.41 0.0290 0.02888089 0.02887715 0.02887702 0.02887702 0.0288770214054.81 14054.81 0.0290 0.02905671 0.02905889 0.02905897 0.02905897 0.02905897

alfa 1b 0.25

Método de Armijo

Tubo 1fd prom t escurrimiento(s)%desviacion

0 0 - h(m) tprom (s) v10.01572673 7.25897482 30.9413551 0.293 0 2.115521090.01578625 14.6289221 28.2732923 0.273 9.505 2.080936520.01584775 22.1149141 25.7296313 0.253 18.765 2.045841510.01591137 29.7224172 22.3319079 0.233 27.805 2.010211770.01597724 37.4573354 22.7129468 0.213 36.36 1.9740210.01604552 45.3260611 23.107984 0.193 45.965 1.937240640.01611638 53.3355331 22.4418249 0.173 55.8 1.899839620.01619002 61.4933036 22.5092743 0.153 65.305 1.861783990.01626664 69.8076169 22.7301602 0.133 75.335 1.823036570.01634647 78.2875002 22.4141783 0.113 85.675 1.783556470.01642979 86.9428715 22.0571602 0.093 95.835 1.743298560.01651689 95.7846671 21.7313831 0.073 106.12 1.702212850.0166081 104.824992 21.6408392 0.053 116.6 1.66024368

0.01670381 114.077303 22.276734 0.033 127.51 1.617328770.013 139.49 1.57339811

Tubo 2fd prom t escurrimiento(s)%desviacion h(m) tprom (s) v1

0 0 - 0.293 0 2.387719850.01414375 3.51752068 2.3448141 0.273 3.6 2.349336550.01419653 7.08764284 3.13725115 0.253 7.31 2.310376090.01425107 10.7127414 2.21923964 0.233 10.475 2.270810830.01430748 14.395374 1.53086699 0.213 14.175 2.230610830.01436588 18.1383014 2.85749673 0.193 17.62 2.189743560.01442642 21.9445102 2.73193716 0.173 21.345 2.148173620.01448924 25.8172403 3.82395745 0.153 24.83 2.105862310.01455451 29.7600149 2.7554251 0.133 28.94 2.062767250.01469318 33.795148 2.79669726 0.113 32.85 2.018841790.01469318 37.8714315 3.1327875 0.093 36.685 1.974034450.01476702 42.0488931 3.0057703 0.073 40.785 1.928288170.0148442 46.3141463 2.68632028 0.053 45.07 1.88153936

0.01492502 50.6728132 2.2947476 0.033 49.51 1.83371690.01500982 55.1311368 2.03358184 0.013 54.01 1.78474077

Tubo 5h(m) tprom (s) v1

fd prom t escurrimiento(s)%desviacion 0.293 0 2.531234630 0 - 0.273 3.785 2.49093192

0.01434621 3.88128285 2.48069667 0.253 7.58 2.450017240.01439985 7.82076581 3.07854517 0.233 11.115 2.408461180.01445527 11.8210806 5.97306341 0.213 15.165 2.366231850.01451259 15.8850619 4.53294992 0.193 18.975 2.323294660.01457194 20.0157693 5.19974692 0.173 23.05 2.279611880.01463346 24.2165137 4.8170176 0.153 27.075 2.235142310.0146973 28.4908864 4.9696116 0.133 31.26 2.1898408

0.01476363 32.8427936 4.81930269 0.113 35.625 2.143657760.01483265 37.2764965 4.43039627 0.093 39.7 2.096538080.01490456 41.7966574 5.01632801 0.073 44.12 2.048421070.0149796 46.4083949 4.93099338 0.053 48.585 1.99923896

0.01505803 51.117348 4.95398945 0.033 53.625 1.948915880.01514017 55.9297537 4.12080065 0.013 57.99 1.897366460.01522635 60.8525382 4.70405715



0.01362738 4.83305351 18.9953103 0.253 7.745 2.562343850.01366123 9.85164942 21.383723 0.233 11.355 2.519229720.01369579 15.0781258 24.692232 0.213 15.315 2.47541160.01373112 20.5397079 25.437109 0.193 18.845 2.430853350.01376722 26.2701555 28.2646043 0.173 22.77 2.385515650.01380415 32.3122033 29.5312679 0.153 26.475 2.339354830.01384193 38.7213168 31.6268086 0.133 30.965 2.292323520.0138806 45.5717522 32.0522067 0.113 34.975 2.244479120.0139202 52.9669295 33.968232 0.093 39.405 2.19551263

0.01396078 61.0585932 35.4636294 0.073 43.875 2.145509710.01400237 70.086057 37.3983901 0.053 48.235 2.0943980.01404504 80.4694631 40.0580069 0.033 53.025 2.042096640.01408883 93.0910993 43.0396672 0.013 58.14 1.988514870.01413381 110.673861 47.4672707



0.01369984 4.76956581 20.2233463 0.253 7.525 2.562343850.01374185 9.72189992 22.597434 0.233 10.95 2.51922972

0.01378498 14.8790553 26.4066182 0.213 14.93 2.47541160.01382931 20.2679113 26.3367607 0.193 18.935 2.430853350.01387489 25.9217997 26.9533742 0.173 22.655 2.385515650.01392179 31.8829138 28.9431319 0.153 26.95 2.339354830.01397008 38.206016 29.4613706 0.133 30.815 2.292323520.01401985 44.9644187 31.4680344 0.113 35 2.244479120.01407117 52.260222 33.0274564 0.093 39.005 2.195512630.01412415 60.2432225 35.2541275 0.073 42.875 2.145509710.01417889 69.1496404 37.9967853 0.053 47.21 2.0943980.0142355 79.394144 40.5371762 0.033 51.69 2.042096640.0142941 91.8474318 43.7218886 0.013 55.765 1.98851487

0.01435483 109.196349 48.9314428


0.00 0 - 0.293 0 2.637864460.01362215 2.79250888 11.5484368 0.273 3.115 2.592865880.01367624 5.62923205 3.09513 0.253 5.455 2.547115140.01373227 8.51230367 5.13731289 0.233 8.075 2.500572960.01379038 11.4440343 4.92863186 0.213 10.88 2.453196470.01385072 14.426932 4.65748396 0.193 13.755 2.404938830.01391345 17.4637268 5.1462484 0.173 16.565 2.355748640.01397876 20.5573986 6.35974743 0.153 19.25 2.305569330.01404686 23.7112113 6.26796881 0.133 22.225 2.254338390.01411799 26.9287511 5.67702202 0.113 25.4 2.201804810.01419239 30.2139733 7.97304358 0.093 27.805 2.148177310.01427038 33.5712571 7.77825236 0.073 30.96 2.093245890.01435229 37.0054725 7.35154112 0.053 34.285 2.036909170.01443851 40.5220601 7.48249258 0.033 37.49 1.979051870.01452948 44.1271291 7.74382834 0.013 40.71 1.91954204

f1 t desv-0.72599068 0-0.69585053 8.28690778 8.28690778 14.6989958

-0.6656475 8.42536863 16.7122764 12.2827289-0.63537954 8.57074554 25.2830219 9.97498662

-0.6050445 8.72362877 34.0066507 6.9202619-0.57464005 8.88468125 42.891332 7.16617532

-0.5441637 9.05465056 51.9459825 7.41927922-0.51361281 9.23438327 61.1803658 6.74176129-0.48298449 9.42484244 70.6052082 6.69892759-0.45227565 9.62712898 80.2323372 6.78362738-0.42148293 9.84250808 90.0748453 6.39485385-0.39060269 10.072442 100.147287 5.96392856-0.35963095 10.3186315 110.465919 5.55291737-0.32856336 10.5830676 121.048986 5.3375198-0.29739514 10.8680991 131.917085 5.74066242

f1 t desv-0.15083372 0-0.13728729 3.94049283 3.94049283 8.6408691-0.12370597 4.00553032 7.94602314 8.00429513-0.11008859 4.07380156 12.0198247 12.8523064-0.09643391 4.14558172 16.1654064 12.3127521

-0.0827406 4.22117985 20.3865863 13.5706206-0.06900721 4.30094431 24.6875306 13.5393476-0.05523222 4.38526962 29.0728002 14.5937102-0.04141394 4.474604 33.5474042 13.7340111

-0.0275506 4.56946057 38.1168648 13.8176757-0.01364026 4.67042805 42.7872928 14.26192780.00031922 4.77818706 47.5654799 14.25504360.01433014 4.89352864 52.4590085 14.08529960.02839504 5.01737921 57.4763877 13.86027910.04251672 5.15083054 62.6272183 13.7595418

f1 t desv1.625825

1.59002559 4.60396846 4.60396846 17.78831611.55412453 4.68075813 9.2847266 18.36054711.51811836 4.76138101 14.0461076 20.8677571.48200338 4.84616411 18.8922717 19.72908171.44577563 4.9354747 23.8277464 20.36594791.40943087 5.02972692 28.8574733 20.1246771

1.3729645 5.12938984 33.9868632 20.3368671.33637159 5.2349969 39.2218601 20.29954741.29964774 5.34714609 44.5690062 20.06777121.26278498 5.46657722 50.0355834 20.6564662

1.2257783 5.59405708 55.6296405 20.68976251.18862078 5.73054377 61.3601842 20.819991.15130482 5.87714012 67.2373244 20.24519041.11382206 6.03514694 73.2724713 20.8570436

f1 t desv3.360700133.07048124 4.75634754 4.75634754 17.68894172.77937408 4.83613676 9.59248431 19.25970632.48734792 4.91991807 14.5124024 21.75657962.19436997 5.00803236 19.5204347 21.54375551.90040782 5.10084219 24.6212769 23.4605092

1.6054271 5.19877329 29.8200502 23.64197971.30938024 5.30239318 35.1224434 24.6208481.01222376 5.41220439 40.5346478 23.60856280.71547399 5.516202 46.0508498 24.05134730.41547011 5.65675886 51.7076087 23.79264670.11432401 5.78849248 57.4961011 23.6904779

-0.18804795 5.92975296 63.4258541 23.9505708-0.49173354 6.0816854 69.5075395 23.7133117-0.79682537 6.24563979 75.7531793 23.250746

f1 t desv3.360700133.07048124 4.75634754 4.75634754 20.00164072.77937408 4.83613676 9.59248431 21.55316852.48734792 4.91991807 14.5124024 24.5472961

2.19436997 5.00803236 19.5204347 23.51604771.90040782 5.10084219 24.6212769 23.0949717

1.6054271 5.19877329 29.8200502 24.02762631.30938024 5.30239318 35.1224434 23.26843641.01222376 5.41220439 40.5346478 23.97861660.71547399 5.516202 46.0508498 23.99705940.41547011 5.65675886 51.7076087 24.56622730.11432401 5.78849248 57.4961011 25.4297263

-0.18804795 5.92975296 63.4258541 25.566631-0.49173354 6.0816854 69.5075395 25.6339666-0.79682537 6.24563979 75.7531793 26.3859279

f1 t desv3.2174291

2.87752459 5.12164624 5.12164624 39.17971192.53648368 5.21543219 10.3370784 47.2288032

2.1942683 5.31430738 15.6513858 48.40712451.85083803 5.41874181 21.0701276 48.36291361.50614999 5.52926788 26.5993955 48.28829851.16015856 5.64649143 32.2458869 48.62910720.81281515 5.77110593 38.0169929 49.36474840.46406799 5.90390775 43.9209006 49.39766790.11131136 6.06681731 49.9877179 49.1875183

-0.24142157 6.2069073 56.1946252 50.520179-0.59594354 6.37268971 62.5673149 50.5172948-0.95235328 6.5518616 69.1191765 50.3972678-1.31076031 6.74630377 75.8654803 50.5835858-1.67128673 6.95828605 82.8237663 50.8474417

dimensiones de los tubos Datos del AguaT (°C)

Kc m tubo Largo (m) Diametro (m) D^2 18 998.620.49947407 1.57201803 1 0.196 0.0048 0.00002304

0.4989753 1.03613314 2 0.196 0.0067 0.000044890.49906501 1.09719571 5 0.196 0.0064 0.000040960.49862896 2.55595888 3 0.58 0.00775 0.00006006250.49863603 1.59158974 4 0.36 0.00773 0.00005975290.49863603 0.64105698 6 0.145 0.00773 0.0000597529

0.143datos de tiempo

Tubo 1 Tubo 2 Tubo 51 corrida 2 corrida 1 corrida 2 corrida 1 corrida

h(m) t (s) t (s) t (s) t (s) t (s)0.4 0 0 0 0 0

0.38 9.12 9.69 3.74 3.6 3.820.36 8.86 8.39 3.55 3.6 3.790.34 8.75 8.94 3.38 3.74 3.520.32 10.11 8.54 3.66 3.2 3.60.3 9.32 9.98 3.35 3.91 4.57

0.28 9.55 10.77 4.01 4.08 4.20.26 9.65 9.6 3.64 3.64 4.070.24 9.86 10.01 4.04 3.9 3.970.22 9.91 10.04 3.42 4.01 3.950.2 10.97 9.97 4.11 3.96 4.63

0.18 10.4 11.34 4.45 3.91 4.190.16 10.52 10.11 3.85 4.08 4.510.14 10.91 11.07 3.99 4.09 4.410.12 11.45 12.29 3.94 4.29 4.74


h(m) t (s) t (s) t (s) t (s) t (s)0.4 0 0 0 0 0

0.38 9.12 9.69 3.74 3.6 3.820.36 17.98 18.08 7.29 7.2 7.610.34 26.73 27.02 10.67 10.94 11.130.32 36.84 35.56 14.33 14.14 14.730.3 46.16 45.54 17.68 18.05 19.3

0.28 55.71 56.31 21.69 22.13 23.50.26 65.36 65.91 25.33 25.77 27.570.24 75.22 75.92 29.37 29.67 31.540.22 85.13 85.96 32.79 33.68 35.49

ρ (kg/m3)

0.2 96.1 95.93 36.9 37.64 40.120.18 106.5 107.27 41.35 41.55 44.310.16 117.02 117.38 45.2 45.63 48.820.14 127.93 128.45 49.19 49.72 53.230.12 139.38 140.74 53.13 54.01 57.97

H del cono H de la base total0 0.09 0.09


Tubo 1

h(m) t prom (s) C veloc (m/s) Re t escurrimiento (s)0.4 0 0.23653218 3.4086364858 15,472.42 0

0.38 9.405 3.35148975 15,213.02 5.625339360.36 18.03 3.293602654 14,950.26 11.34806160.34 26.875 3.2349422116 14,683.99 17.17294820.32 36.2 3.175472876 14,414.05 23.10517730.3 45.85 3.1151562249 14,140.26 29.1503706

0.28 56.01 3.0539506264 13,862.44 35.31464860.26 65.635 2.9918108466 13,580.37 41.60469380.24 75.57 2.9286875935 13,293.85 48.02782490.22 85.545 2.8645269832 13,002.61 54.59208490.2 96.015 2.7992699116 12,706.40 61.3063438

0.18 106.885 2.7328513107 12,404.91 68.18042210.16 117.2 2.6651992621 12,097.82 75.22523850.14 128.19 2.596233932 11,784.78 82.45298830.12 140.06 2.5258662831 11,465.37 89.87736

Tubo 2


0.38 3.67 4.2529516233 26,946.45 2.275249620.36 7.245 4.1794944282 26,481.03 4.589887150.34 10.805 4.1050558825 26,009.39 6.945846540.32 14.235 4.0295908725 25,531.25 9.345222110.3 17.865 3.9530506418 25,046.30 11.7902877

0.28 21.91 3.8753823603 24,554.20 14.28351880.26 25.55 3.7965286276 24,054.58 16.82761830.24 29.52 3.7164268933 23,547.06 19.4255463

0.22 33.235 3.6350087803 23,031.20 22.08055590.2 37.27 3.5521992869 22,506.53 24.7962347

0.18 41.45 3.4679158437 21,972.51 27.57655480.16 45.415 3.3820671879 21,428.58 30.42593240.14 49.455 3.2945520129 20,874.09 33.34930.12 53.57 3.2052573324 20,308.32 36.3521942

Tubo 5


0.38 3.81 4.1160425034 24,911.29 2.576494970.36 7.625 4.0449500096 24,481.02 5.197592870.34 11.315 3.9729077563 24,045.00 7.865483660.32 14.83 3.8998720823 23,602.97 10.5825390.3 19.28 3.8257958004 23,154.64 13.3513338

0.28 23.295 3.7506277816 22,699.71 16.17467120.26 27.36 3.674312473 22,237.83 19.0556120.24 31.355 3.5967893381 21,768.64 21.99750830.22 35.35 3.5179922006 21,291.74 25.00404390.2 39.85 3.4378484734 20,806.69 28.0792813

0.18 44.02 3.3562782451 20,313.01 31.22771860.16 48.475 3.273193191 19,810.16 34.45435670.14 53.115 3.1884952654 19,297.55 37.76478110.12 57.76 3.1020751194 18,774.51 41.1652615

Tubo 3


0.38 3.74 3.2929979135 24,134.01 2.202987470.36 7.345 3.2570081223 23,870.25 4.430085890.34 10.985 3.2207175595 23,604.28 6.682035150.32 14.765 3.1841176793 23,336.04 8.959613030.3 18.86 3.147199515 23,065.47 11.263638

0.28 22.945 3.1099536484 22,792.50 13.59497210.26 26.935 3.0723701778 22,517.05 15.95452430.24 30.94 3.0344386819 22,239.06 18.34325450.22 35.475 2.9961481803 21,958.43 20.76217670.2 39.525 2.9574870902 21,675.09 23.2123641

0.18 44.26 2.918443179 21,388.94 25.6949540.16 48.825 2.8790035114 21,099.89 28.21115270.14 53.4 2.8391543906 20,807.84 30.7622418

0.12 58.18 2.7988812945 20,512.69 33.349585

Tubo 4


0.38 3.64 3.7739665058 27,587.60 1.929449870.36 7.7 3.7217299433 27,205.75 3.885654130.34 11.59 3.6689376089 26,819.84 5.869658450.32 15.435 3.6155692887 26,429.72 7.882577070.3 19.45 3.5616034861 26,035.23 9.92559924

0.28 23.48 3.5070173039 25,636.21 11.99999640.26 27.135 3.451786312 25,232.47 14.10713030.24 31.25 3.395884398 24,823.83 16.24846220.22 35.435 3.3392835996 24,410.08 18.42556310.2 39.78 3.2819539131 23,991.00 20.6401258

0.18 43.635 3.2238630775 23,566.36 22.89397820.16 47.64 3.1649763258 23,135.89 25.18909890.14 52.11 3.1052561022 22,699.34 27.5276350.12 56.28 3.0446617347 22,256.40 29.9119226

Tubo 6


0.38 2.665 5.3465446351 39,083.10 1.3587360.36 5.48 5.2464862581 38,351.68 2.742963340.34 8.23 5.144975697 37,609.64 4.154042040.32 10.84 5.0419402239 36,856.45 5.593455020.3 13.8 4.9373006929 36,091.54 7.06282414

0.28 16.765 4.8309707105 35,314.27 8.563928910.26 19.57 4.7228556608 34,523.95 10.09872870.24 22.405 4.6128515564 33,719.83 11.66938890.22 25.345 4.5008436714 32,901.05 13.27831240.2 28.16 4.3867049061 32,066.70 14.9281774

0.18 31.075 4.2702938146 31,215.74 16.62198320.16 34.23 4.1514522064 30,347.01 18.36310640.14 37.325 4.0300022042 29,459.21 20.15537010.12 40.01 3.9057425959 28,550.88 22.0031303

tubo L = longitud ( d= diametro (mdiametro de la baseg (m/s2) 1 0.211 0.00473 0.15058273

0.001056 9.81 2 0.21 0.00702 0.149308383 0.21 0.00798 0.15015915

Diámetro 0.148 4 0.59 0.00701D^2 0.021904 5 0.88 0.00702

6 0.36 0.00803alfa 1


t (s) t (s) t (s) t (s) t (s) t (s) t (s)0 0 0 0 0 0 0

3.8 3.5 3.98 3.63 3.65 2.73 2.63.84 3.54 3.67 3.89 4.23 2.85 2.783.86 3.86 3.42 4.17 3.61 2.68 2.823.43 3.51 4.05 3.85 3.84 2.67 2.554.33 4.24 3.95 3.8 4.23 2.95 2.973.83 4.27 3.9 4.08 3.98 2.83 3.14.06 4.05 3.93 3.63 3.68 2.73 2.884.02 3.86 4.15 3.91 4.32 2.99 2.684.04 4.45 4.62 4.51 3.86 2.81 3.074.37 4.12 3.98 4.36 4.33 2.76 2.874.15 4.83 4.64 3.75 3.96 3.03 2.84.4 4.73 4.4 3.94 4.07 3.25 3.06

4.87 4.32 4.83 4.38 4.56 2.95 3.244.55 4.83 4.73 4.3 4.04 2.66 2.71


t (s) t (s) t (s) t (s) t (s) t (s) t (s)0 0 0 0 0 0 0

3.8 3.5 3.98 3.63 3.65 2.73 2.67.64 7.04 7.65 7.52 7.88 5.58 5.3811.5 10.9 11.07 11.69 11.49 8.26 8.2

14.93 14.41 15.12 15.54 15.33 10.93 10.7519.26 18.65 19.07 19.34 19.56 13.88 13.7223.09 22.92 22.97 23.42 23.54 16.71 16.8227.15 26.97 26.9 27.05 27.22 19.44 19.731.17 30.83 31.05 30.96 31.54 22.43 22.3835.21 35.28 35.67 35.47 35.4 25.24 25.45

μ (Kg/m.s)

39.58 39.4 39.65 39.83 39.73 28 28.3243.73 44.23 44.29 43.58 43.69 31.03 31.1248.13 48.96 48.69 47.52 47.76 34.28 34.18

53 53.28 53.52 51.9 52.32 37.23 37.4257.55 58.11 58.25 56.2 56.36 39.89 40.13

angulo seno (θ/2) raiz3.141592654 1 1


Tubo 1

%desviacion h(m) tprom (s) Kc0 0.4 0 0.49947407

67.1899132 0.38 9.40558.8817597 0.36 18.0356.4961334 0.34 26.87556.674842 0.32 36.2

57.2878801 0.3 45.8558.602739 0.28 56.01

57.7586422 0.26 65.63557.3462886 0.24 75.57

56.69854 0.22 85.54556.6151137 0.2 96.01556.7678767 0.18 106.88555.7987748 0.16 117.255.4704113 0.14 128.1955.8345729 0.12 140.06

Tubo 2


61.300983 0.38 3.6757.8470179 0.36 7.24555.5605921 0.34 10.80552.3238274 0.32 14.23551.5230198 0.3 17.86553.3935736 0.28 21.9151.8337268 0.26 25.5551.9648381 0.24 29.52

50.5170438 0.22 33.23550.3050783 0.2 37.2750.3088412 0.18 41.4549.2641191 0.16 45.41548.2939672 0.14 49.45547.3638695 0.12 53.57

Tubo 5


47.8753127 0.38 3.8146.7025255 0.36 7.62543.8563792 0.34 11.31540.1365024 0.32 14.8344.4050485 0.3 19.2844.0214746 0.28 23.29543.5797495 0.26 27.3642.5388709 0.24 31.35541.3771315 0.22 35.3541.9195867 0.2 39.8540.9645083 0.18 44.0240.6933829 0.16 48.47540.646916 0.14 53.115

40.3124815 0.12 57.76

Tubo 3


69.769463 0.38 3.7465.7981399 0.36 7.34564.3960225 0.34 10.98564.7950637 0.32 14.76567.4414612 0.3 18.8668.775632 0.28 22.945

68.8235852 0.26 26.93568.6723589 0.24 30.9470.8635881 0.22 35.47570.2756331 0.2 39.52572.251719 0.18 44.26

73.0698512 0.16 48.82573.5894293 0.14 53.4

74.4549443 0.12 58.18

Tubo 4


88.6548111 0.38 3.6498.1648326 0.36 7.797.4561228 0.34 11.5995.8115963 0.32 15.43595.9579419 0.3 19.4595.6667253 0.28 23.4892.3495383 0.26 27.13592.3258934 0.24 31.2592.3143401 0.22 35.43592.7313839 0.2 39.7890.5959709 0.18 43.63589.1294331 0.16 47.6489.300679 0.14 52.11

88.1523992 0.12 56.28

Tubo 6


96.1381758 0.38 2.66599.7839313 0.36 5.4898.1202866 0.34 8.2393.7979291 0.32 10.8495.3892626 0.3 13.895.7629516 0.28 16.76593.7867689 0.26 19.5791.998058 0.24 22.40590.87516 0.22 25.345

88.6365578 0.2 28.1686.9512172 0.18 31.07586.4063693 0.16 34.2385.1863788 0.14 37.32581.8377632 0.12 40.01

Tubo 1 Tubo 2 Tubo 5 Tubo 3 Tubo 4 Tubo 6 Tubo 1h(m) t prom (s) t prom (s) t prom (s) t prom (s) t prom (s) t prom (s) velocidad (m/s)0.4 0 0 0 0 0 0 0

0.38 9.405 3.67 3.81 3.74 3.64 2.665 2.021678780.36 18.03 7.245 7.625 7.345 7.7 5.48 2.204508860.34 26.875 10.805 11.315 10.985 11.59 8.23 2.149676530.32 36.2 14.235 14.83 14.765 15.435 10.84 2.039022940.3 45.85 17.865 19.28 18.86 19.45 13.8 1.97035118

0.28 56.01 21.91 23.295 22.945 23.48 16.765 1.871445760.26 65.635 25.55 27.36 26.935 27.135 19.57 1.975468980.24 75.57 29.52 31.355 30.94 31.25 22.405 1.913828780.22 85.545 33.235 35.35 35.475 35.435 25.345 1.90615427

0.2 96.015 37.27 39.85 39.525 39.78 28.16 1.816035230.18 106.885 41.45 44.02 44.26 43.635 31.075 1.749207810.16 117.2 45.415 48.475 48.825 47.64 34.23 1.843324180.14 128.19 49.455 53.115 53.4 52.11 37.325 1.730108180.12 140.06 53.57 57.76 58.18 56.28 40.01 1.60184405

Velocidades iteradas Re iteradosVsupues(m/s) V1 V2 V3 V4 V5 V6 Re1

0 0 0 0 0 0 0 02 2.15142991 2.16060732 2.16114101 2.16117197 2.16117376 2.1612 9078.362 2.11887992 2.12603462 2.12645137 2.12647559 2.126477 2.1265 9078.362 2.08582204 2.09095009 2.09124928 2.09126671 2.09126773 2.0913 9078.362 2.05223173 2.05532947 2.05551052 2.0555211 2.05552171 2.0555 9078.362 2.0180824 2.01914655 2.01920886 2.01921251 2.01921272 2.0192 9078.362 1.98334517 1.98237287 1.98231584 1.98231249 1.9823123 1.9823 9078.362 1.94798859 1.94497746 1.94480051 1.9447901 1.94478948 1.9448 9078.362 1.9119783 1.90692655 1.90662908 1.90661154 1.9066105 1.9066 9078.362 1.87527665 1.86818313 1.86776459 1.86773984 1.86773837 1.8677 9078.362 1.83784221 1.82870657 1.8281664 1.82813438 1.82813248 1.8281 9078.362 1.79962926 1.78845207 1.78778975 1.78775037 1.78774802 1.7877 9078.362 1.7605871 1.74737002 1.74658505 1.74653823 1.74653543 1.7465 9078.362 1.7206593 1.70540525 1.70449717 1.70444284 1.70443958 1.7044 9078.362 1.6797827 1.66249615 1.66146454 1.66140261 1.66139889 1.6614 9078.36


0 0 0 0 0 0 0 02 2.34715792 2.36427458 2.3650442 2.36507866 2.3650802 2.36508027 12671.882 2.31164667 2.32691197 2.32759982 2.3276307 2.32763208 2.32763215 12671.882 2.27558133 2.28898873 2.28959419 2.28962144 2.28962267 2.28962272 12671.882 2.23893512 2.25047817 2.25100062 2.2510242 2.25102527 2.25102531 12671.882 2.20167902 2.21135142 2.21179023 2.21181009 2.21181099 2.21181103 12671.882 2.16378154 2.17157714 2.17193167 2.17194776 2.17194849 2.17194852 12671.882 2.12520837 2.13112124 2.13139082 2.13140309 2.13140365 2.13140367 12671.882 2.08592202 2.08994649 2.09013045 2.09013885 2.09013923 2.09013925 12671.88

2 2.0458814 2.04801213 2.04810979 2.04811426 2.04811447 2.04811448 12671.882 2.00504134 2.00527337 2.00528404 2.00528453 2.00528455 2.00528455 12671.882 1.96335193 1.96168081 1.96160379 1.96160023 1.96160007 1.96160006 12671.882 1.92075789 1.91717974 1.91701432 1.91700666 1.9170063 1.91700629 12671.882 1.87719762 1.8717093 1.87145477 1.87144294 1.87144239 1.87144237 12671.882 1.83260224 1.82520148 1.82485713 1.82484107 1.82484032 1.82484029 12671.88


0 0 0 0 0 0 0 0.002 2.32212569 2.33851769 2.33928323 2.33931884 2.33932049 2.33932057 12104.482 2.28699317 2.30150112 2.30218009 2.30221174 2.30221322 2.30221329 12104.482 2.25131246 2.26393006 2.26452182 2.26454949 2.26455078 2.26455084 12104.482 2.21505707 2.22577814 2.22628206 2.22630568 2.22630679 2.22630684 12104.482 2.17819831 2.18701683 2.18743226 2.18745179 2.18745271 2.18745275 12104.482 2.140705 2.14761514 2.14794144 2.14795682 2.14795754 2.14795758 12104.482 2.10254321 2.10753938 2.10777587 2.10778705 2.10778758 2.10778761 12104.482 2.06367584 2.06675277 2.06689878 2.0669057 2.06690603 2.06690604 12104.482 2.02406226 2.02521501 2.02526986 2.02527246 2.02527259 2.02527259 12104.482 1.98365775 1.98288185 1.98284484 1.98284307 1.98284299 1.98284298 12104.482 1.94241296 1.93970447 1.9395749 1.9395687 1.9395684 1.93956838 12104.482 1.90027317 1.8956288 1.89540598 1.89539527 1.89539476 1.89539473 12104.482 1.85717748 1.85059472 1.85027794 1.85026266 1.85026192 1.85026189 12104.482 1.8130577 1.80453502 1.80412358 1.80410367 1.8041027 1.80410266 12104.48


0 0 0 0 0 0 0 0.002 2.37524828 2.40525912 2.40744402 2.40760199 2.40761341 2.40761423 14657.772 2.35251811 2.38058386 2.38262854 2.38277653 2.38278724 2.38278801 14657.772 2.32956616 2.35568366 2.35758771 2.35772567 2.35773566 2.35773639 14657.772 2.30638583 2.33055196 2.33231499 2.33244287 2.33245214 2.33245281 14657.772 2.28297013 3.56259036 3.56259036 3.56259036 3.56259036 3.56259036 14657.772 2.25931177 2.27956621 2.28104599 2.28115357 2.28116139 2.28116195 14657.772 2.23540304 2.25369734 2.25503489 2.25513225 2.25513933 2.25513985 14657.772 2.21123581 2.22756726 2.2287622 2.22884928 2.22885562 2.22885608 14657.772 2.18680152 2.20116753 2.20221947 2.20229622 2.20230181 2.20230222 14657.772 2.1620911 2.17448923 2.17539779 2.17546416 2.175469 2.17546936 14657.772 2.13709499 2.14752296 2.14828775 2.14834368 2.14834777 2.14834807 14657.772 2.11180303 2.12025874 2.12087938 2.12092484 2.12092817 2.12092841 14657.772 2.08620447 2.09268601 2.09316214 2.09319706 2.09319962 2.09319981 14657.77

2 2.06028788 2.06479356 2.06512483 2.06514916 2.06515094 2.06515107 14657.77


0 0 0 0 0 0 0 0.002 2.3962378 2.42158212 2.42304664 2.42313076 2.42313559 2.42313587 14619.952 2.36719142 2.39055002 2.39190158 2.39197935 2.39198382 2.39198408 14619.952 2.33778417 2.35915188 2.36038991 2.36046128 2.36046539 2.36046562 14619.952 2.30800227 2.32737397 2.32849792 2.32856282 2.32856657 2.32856678 14619.952 2.277831 2.29520171 2.29621099 2.29626937 2.29627275 2.29627295 14619.952 2.2472547 2.26261952 2.26351355 2.26356536 2.26356837 2.26356854 14619.952 2.2162566 2.22961077 2.23038897 2.23043416 2.23043678 2.23043693 14619.952 2.18481875 2.19615768 2.19681945 2.19685796 2.1968602 2.19686033 14619.952 2.15292187 2.16224117 2.16278592 2.16281768 2.16281953 2.16281964 14619.952 2.12054526 2.12784074 2.12826788 2.12829284 2.12829429 2.12829438 14619.952 2.0876666 2.09293434 2.09324327 2.09326136 2.09326242 2.09326248 14619.952 2.05426178 2.05749817 2.05768829 2.05769945 2.0577001 2.05770014 14619.952 2.0203047 2.02150647 2.02157719 2.02158135 2.02158159 2.02158161 14619.952 1.98576703 1.98493133 1.98488206 1.98487916 1.98487899 1.98487898 14619.95


0 0 0 0 0 0 0 0.002 2.43334397 2.44887038 2.44936615 2.44938192 2.44938242 2.4494 14619.952 2.39345039 2.40745265 2.40790103 2.40791534 2.40791579 2.4079 14619.952 2.35288049 2.36535131 2.36575183 2.36576465 2.36576506 2.3658 14619.952 1.50418023 1.48972377 1.48922302 1.48920558 1.48920497 1.4892 14619.952 2.26956611 2.27895217 2.27925549 2.27926527 2.27926559 2.2793 14619.952 2.22674026 2.23457309 2.23482705 2.23483527 2.23483553 2.2348 14619.952 2.18307445 2.18934693 2.189551 2.18955762 2.18955784 2.1896 14619.952 2.13851722 2.14322238 2.14337599 2.143381 2.14338116 2.1434 14619.952 2.09301165 2.09614268 2.09624528 2.09624864 2.09624875 2.0962 14619.952 2.04649447 2.04804485 2.04809584 2.04809752 2.04809758 2.0481 14619.952 1.99889506 1.99885858 1.99885738 1.99885734 1.99885734 1.9989 14619.952 1.95013418 1.94850509 1.94845106 1.94844927 1.94844921 1.9484 14619.952 1.90012241 1.89689554 1.89678805 1.89678446 1.89678434 1.8968 14619.952 1.84875824 1.84392915 1.84376754 1.84376213 1.84376194 1.8438 14619.95

Tubo 2 Tubo 5 Tubo 3 Tubo 4 Tubo 6velocidad (m/s)velocidad (m/s)velocidad (m/s)velocidad (m/s)velocidad (m/s)

0 0 0 0 02.6591189 2.80716864 1.95019671 2.01415577 2.751042032.7297808 2.80348952 2.02322765 1.80579483 2.60445009

2.74128269 2.89845867 2.00377354 1.88471131 2.666009822.8451797 3.04276316 1.92955971 1.90676905 2.80901418

2.68842049 2.40344101 1.78113204 1.82603412 2.476867232.41259984 2.66383873 1.78549221 1.81923747 2.472690392.68103471 2.63107319 1.82800393 2.00588974 2.613735122.45817792 2.67717459 1.82115748 1.78165905 2.586076552.62690885 2.67717459 1.60832099 1.7518583 2.49371667

2.41857902 2.37673611 1.80092239 1.68734799 2.604450092.33468095 2.56482314 1.54038769 1.90182283 2.51510362.46127777 2.40074355 1.59775152 1.83059351 2.323780352.41558573 2.30502425 1.59425917 1.64016264 2.36882942.37155926 2.30254306 1.52588613 1.75815995 2.7305501

Re iterados fd iteradosRe2 Re3 Re4 Re5 Re6 fd1 fd2 fd3

0 0 0 0 0 0 0 09765.73 9807.39 9809.81 9809.95 9809.96 0.032414 0.031828 0.0317949617.98 9650.46 9652.35 9652.46 9652.47 0.032414 0.031950 0.0319239467.93 9491.20 9492.56 9492.64 9492.64 0.032414 0.032075 0.0320569315.45 9329.51 9330.34 9330.38 9330.39 0.032414 0.032206 0.0321949160.44 9165.27 9165.56 9165.57 9165.57 0.032414 0.032341 0.0323379002.76 8998.35 8998.09 8998.08 8998.08 0.032414 0.032482 0.0324868842.27 8828.61 8827.80 8827.76 8827.75 0.032414 0.032628 0.0326418678.82 8655.89 8654.54 8654.46 8654.45 0.032414 0.032781 0.0328038512.22 8480.02 8478.12 8478.01 8478.00 0.032414 0.032940 0.0329718342.30 8300.83 8298.38 8298.23 8298.23 0.032414 0.033107 0.0331488168.84 8118.11 8115.10 8114.92 8114.91 0.032414 0.033281 0.0333337991.62 7931.63 7928.07 7927.85 7927.84 0.032414 0.033464 0.0335277810.39 7741.14 7737.02 7736.78 7736.76 0.032414 0.033656 0.0337317624.84 7546.37 7541.69 7541.41 7541.39 0.032414 0.033859 0.033947

Re iterados fd iteradosRe2 Re3 Re4 Re5 Re6 fd1 fd2 fd3

0 0 0 0 0 0 0 014871.45 14979.90 14984.78 14985.00 14985.01 0.0298 0.02865155 0.0285995514646.46 14743.18 14747.54 14747.73 14747.74 0.0298 0.02876096 0.0287136714417.95 14502.90 14506.73 14506.91 14506.91 0.0298 0.02887424 0.0288318714185.76 14258.90 14262.21 14262.36 14262.36 0.0298 0.02899168 0.0289544313949.71 14010.99 14013.77 14013.90 14013.90 0.0298 0.02911355 0.0290816613709.59 13758.99 13761.23 13761.33 13761.34 0.0298 0.0292402 0.0292139213465.20 13502.66 13504.37 13504.44 13504.45 0.0298 0.02937199 0.0293515913216.28 13241.78 13242.94 13243.00 13243.00 0.0298 0.02950932 0.0294951

12962.58 12976.08 12976.70 12976.73 12976.73 0.0298 0.02965265 0.0296449412703.82 12705.29 12705.36 12705.37 12705.37 0.0298 0.02980251 0.0298016512439.68 12429.09 12428.61 12428.58 12428.58 0.0298 0.02995947 0.0299658512169.81 12147.14 12146.09 12146.04 12146.04 0.0298 0.0301242 0.0301382511893.81 11859.04 11857.43 11857.35 11857.35 0.0298 0.03029746 0.0303196411611.26 11564.37 11562.19 11562.09 11562.08 0.0298 0.03048012 0.03051097

Re iterados fd iteradosRe2 Re3 Re4 Re5 Re6 fd1 fd2 fd30.00 0.00 0.00 0.00 0.00 0.0000 0 0

14054.07 14153.28 14157.91 14158.12 14158.13 0.0302 0.02905935 0.029008313841.44 13929.24 13933.35 13933.54 13933.55 0.0302 0.02917032 0.0291242413625.49 13701.85 13705.44 13705.60 13705.61 0.0302 0.02928522 0.0292443313406.06 13470.95 13474.00 13474.14 13474.15 0.0302 0.02940432 0.0293688513182.98 13236.36 13238.87 13238.99 13238.99 0.0302 0.02952793 0.0294981212956.07 12997.89 12999.86 12999.96 12999.96 0.0302 0.02965638 0.029632512725.10 12755.34 12756.77 12756.84 12756.84 0.0302 0.02979005 0.0297723712489.87 12508.49 12509.37 12509.41 12509.42 0.0302 0.02992933 0.0299181912250.12 12257.09 12257.42 12257.44 12257.44 0.0302 0.03007471 0.0300704312005.58 12000.88 12000.66 12000.65 12000.65 0.0302 0.0302267 0.0302296511755.95 11739.56 11738.78 11738.74 11738.74 0.0302 0.03038589 0.0303964911500.91 11472.81 11471.46 11471.39 11471.39 0.0302 0.03055297 0.0305716611240.09 11200.25 11198.33 11198.24 11198.23 0.0302 0.03072869 0.0307559810973.06 10921.48 10918.99 10918.87 10918.87 0.0302 0.03091395 0.03095039


17407.93 17627.87 17643.89 17645.04 17645.13 0.0288 0.02754544 0.0274591117241.34 17447.03 17462.02 17463.10 17463.18 0.0288 0.02761174 0.0275299917073.13 17264.54 17278.49 17279.51 17279.58 0.0288 0.0276795 0.0276024616903.24 17080.35 17093.27 17094.21 17094.28 0.0288 0.02774879 0.0276765716731.63 26109.82 26109.82 26109.82 26109.82 0.0288 0.02781967 0.0248906116558.24 16706.68 16717.53 16718.32 16718.37 0.0288 0.02789221 0.0278300516383.02 16517.09 16526.90 16527.61 16527.66 0.0288 0.02796649 0.0279095616205.90 16325.59 16334.35 16334.99 16335.03 0.0288 0.02804259 0.0279910516026.82 16132.11 16139.82 16140.38 16140.42 0.0288 0.0281206 0.0280746115845.72 15936.59 15943.25 15943.73 15943.77 0.0288 0.02820061 0.0281603215662.53 15738.95 15744.56 15744.97 15745.00 0.0288 0.02828271 0.0282483115477.17 15539.14 15543.69 15544.02 15544.04 0.0288 0.02836701 0.0283386915289.56 15337.06 15340.55 15340.81 15340.82 0.0288 0.02845363 0.02843158

15099.62 15132.64 15135.07 15135.25 15135.26 0.0288 0.0285427 0.02852711


17516.44 17701.70 17712.41 17713.02 17713.06 0.0288 0.02750268 0.0274304417304.11 17474.86 17484.74 17485.31 17485.34 0.0288 0.02758666 0.0275190317089.14 17245.34 17254.39 17254.91 17254.94 0.0288 0.02767301 0.0276101416871.44 17013.04 17021.26 17021.73 17021.76 0.0288 0.02776185 0.027703916650.89 16777.86 16785.24 16785.67 16785.69 0.0288 0.02785333 0.0278004816427.37 16539.69 16546.23 16546.60 16546.63 0.0288 0.0279476 0.0279000316200.78 16298.40 16304.09 16304.42 16304.44 0.0288 0.02804481 0.0280027215970.97 16053.86 16058.69 16058.97 16058.99 0.0288 0.02814516 0.0281087615737.80 15805.93 15809.91 15810.14 15810.15 0.0288 0.02824883 0.0282183415501.13 15554.46 15557.58 15557.77 15557.78 0.0288 0.02835604 0.0283317115260.79 15299.30 15301.55 15301.69 15301.69 0.0288 0.02846703 0.0284491115016.60 15040.26 15041.65 15041.73 15041.73 0.0288 0.02858206 0.0285708214768.37 14777.16 14777.68 14777.71 14777.71 0.0288 0.02870141 0.0286971514515.91 14509.80 14509.44 14509.42 14509.41 0.0288 0.02882541 0.02882844


17787.68 17901.18 17904.80 17904.92 17904.92 0.0288 0.02739723 0.027353717496.06 17598.42 17601.69 17601.80 17601.80 0.0288 0.02751069 0.027470617199.50 17290.66 17293.58 17293.68 17293.68 0.0288 0.02762852 0.0275920310995.52 10889.84 10886.18 10886.05 10886.05 0.0288 0.03089815 0.0309728416590.47 16659.08 16661.30 16661.37 16661.37 0.0288 0.02787865 0.027849916277.41 16334.67 16336.53 16336.59 16336.59 0.0288 0.02801174 0.0279871615958.22 16004.07 16005.56 16005.61 16005.61 0.0288 0.02815078 0.0281305915632.51 15666.90 15668.02 15668.06 15668.06 0.0288 0.02829628 0.0282807415299.86 15322.75 15323.50 15323.52 15323.52 0.0288 0.02844884 0.0284382114959.82 14971.15 14971.53 14971.54 14971.54 0.0288 0.02860914 0.0286037314611.87 14611.60 14611.60 14611.60 14611.60 0.0288 0.02877796 0.0287780914255.43 14243.52 14243.13 14243.11 14243.11 0.0288 0.02895619 0.0289622413889.85 13866.26 13865.47 13865.45 13865.44 0.0288 0.02914487 0.0291572613514.37 13479.07 13477.89 13477.85 13477.85 0.0288 0.02934523 0.02936442

fd iteradosfd4 fd5 fd6 fd prom t escurrimiento(s)%desviacion0 0 0 0 0 -

0.031792 0.031792 0.031792 0.01589607 7.65 22.890.031921 0.031921 0.031921 0.01596052 15.43 16.840.032055 0.032055 0.032055 0.01602727 23.34 15.140.032193 0.032193 0.032193 0.0160965 31.39 15.330.032337 0.032337 0.032337 0.01616838 39.58 15.840.032486 0.032486 0.032486 0.01624311 47.93 16.860.032642 0.032642 0.032642 0.01632089 56.44 16.300.032804 0.032804 0.032804 0.01640199 65.11 16.060.032973 0.032973 0.032973 0.01648667 73.98 15.640.033150 0.033150 0.033151 0.01657525 83.03 15.640.033336 0.033336 0.033336 0.01666808 92.29 15.820.033531 0.033531 0.033531 0.01676555 101.77 15.160.033736 0.033736 0.033736 0.01686812 111.48 14.990.033952 0.033953 0.033953 0.01697632 121.45 15.32


0.02859722 0.02859712 0.02859711 0.01429856 3.71050929 1.091744740.02871155 0.02871145 0.02871145 0.01435572 7.48042322 3.147191230.02882996 0.02882988 0.02882987 0.01441494 11.31262 4.487200890.02895275 0.02895267 0.02895267 0.01447633 15.210216 6.411585440.02908022 0.02908016 0.02908015 0.01454008 19.1765943 6.839558160.02921273 0.02921268 0.02921267 0.01460634 23.2154376 5.623144570.02935066 0.02935062 0.02935062 0.01467531 27.3307664 6.515611070.02949445 0.02949442 0.02949442 0.01474721 31.5269841 6.36592479

0.02964459 0.02964457 0.02964457 0.01482228 35.8089294 7.187954070.02980161 0.02980161 0.02980161 0.0149008 40.1819392 7.246885630.02996614 0.02996616 0.02996616 0.01498308 44.6519227 7.170850730.0301389 0.03013893 0.03013893 0.01506946 49.2254512 7.7408151

0.03032067 0.03032072 0.03032072 0.01516036 53.9098655 8.263544060.03051241 0.03051247 0.03051248 0.01525624 58.7134084 8.76019385


0.02900592 0.02900581 0.02900581 0.0145029 4.09438619 6.945758820.02912209 0.02912199 0.02912199 0.01456099 8.25450032 7.626146920.02924242 0.02924233 0.02924232 0.01462116 12.4835319 9.360587090.02936719 0.02936711 0.02936711 0.01468355 16.7849346 11.646960.02949672 0.02949666 0.02949665 0.01474833 21.1624583 8.895272160.02963137 0.02963132 0.02963132 0.01481566 25.6201849 9.07559750.02977154 0.0297715 0.0297715 0.01488575 30.1625715 9.291553750.02991766 0.02991763 0.02991763 0.01495882 34.7945003 9.885183720.03007022 0.03007021 0.03007021 0.01503511 39.5213365 10.55464420.0302298 0.0302298 0.0302298 0.0151149 44.3489984 10.14453220.030397 0.03039703 0.03039703 0.01519851 49.2840402 10.6810241

0.03057256 0.03057261 0.03057261 0.0152863 54.3337508 10.7828940.0307573 0.03075736 0.03075736 0.01537868 59.5062742 10.7405047

0.03095215 0.03095224 0.03095224 0.01547612 64.8107564 10.878991


0.02745288 0.02745243 0.0274524 0.0137262 4.19092868 10.75963620.02752408 0.02752366 0.02752363 0.01376181 8.49815447 13.56946940.02759688 0.02759648 0.02759645 0.01379822 12.9314713 15.05220310.02767134 0.02767096 0.02767093 0.01383547 17.5021263 15.63882160.02489061 0.02489061 0.02489061 0.0124453 21.7499291 13.28707350.02782553 0.0278252 0.02782518 0.01391259 27.1097337 15.36250320.02790543 0.02790512 0.0279051 0.01395255 32.1798729 16.29861280.0279873 0.02798703 0.02798701 0.0139935 37.4550357 17.3942852

0.02807125 0.02807101 0.02807099 0.0140355 42.9612503 17.42558760.02815738 0.02815717 0.02815715 0.01407858 48.730578 18.8907630.0282458 0.02824561 0.0282456 0.0141228 54.8032828 19.2384146

0.02833662 0.02833646 0.02833645 0.01416823 61.2311217 20.26113750.02842996 0.02842984 0.02842983 0.01421492 68.0825611 21.5658178

0.02852597 0.02852588 0.02852588 0.01426294 75.451505 22.8908688


0.02742629 0.02742605 0.02742604 0.01371302 3.87506185 6.06601540.02751514 0.02751491 0.0275149 0.01375745 7.85731397 2.002134170.02760651 0.02760631 0.02760629 0.01380315 11.9558221 3.059782080.02770056 0.02770037 0.02770036 0.01385018 16.1809993 4.610341360.02779743 0.02779725 0.02779724 0.01389862 20.5449044 5.329323240.02789727 0.02789711 0.0278971 0.01394855 25.0616312 6.310966690.02800028 0.02800014 0.02800013 0.01400006 29.7478256 8.783248990.02810664 0.02810652 0.02810651 0.01405325 34.6233844 9.743081010.02821656 0.02821646 0.02821645 0.01410823 39.7124227 10.77099410.02833028 0.0283302 0.0283302 0.0141651 45.0446469 11.68761950.02844806 0.02844799 0.02844799 0.014224 50.6573632 13.86247280.02857016 0.02857012 0.02857012 0.01428506 56.5985243 15.82819410.0286969 0.02869688 0.02869688 0.01434844 62.9315575 17.1957567

0.02882862 0.02882863 0.02882863 0.01441432 69.743443 19.304242


0.02735231 0.02735227 0.02735227 0.01367613 3.51162748 24.10926220.02746932 0.02746928 0.02746927 0.01373464 7.11917224 23.02475880.02759086 0.02759082 0.02759082 0.01379541 10.8307825 24.01287730.03097545 0.03097554 0.03097554 0.01548777 14.7826137 26.67061330.02784898 0.02784895 0.02784895 0.01392447 18.6051449 25.82696820.02798637 0.02798634 0.02798634 0.01399317 22.6914384 26.11750860.02812994 0.02812992 0.02812991 0.01406496 26.9297006 27.32930710.02828023 0.02828021 0.02828021 0.01414011 31.3378685 28.50502890.02843787 0.02843785 0.02843785 0.01421893 35.9376946 29.47516450.02860355 0.02860354 0.02860354 0.01430177 40.7559904 30.90586250.0287781 0.0287781 0.0287781 0.01438905 45.8264442 32.1898076

0.02896244 0.02896245 0.02896245 0.01448122 51.1923799 33.13457970.02915767 0.02915768 0.02915768 0.01457884 56.9111257 34.41528430.02936507 0.02936509 0.02936509 0.01468254 63.0613243 36.5538221

alfa 1b 0.25

Método de Armijo

Tubo 1

h(m) tprom (s) v1 f1 t desv0.4 0 2.103404 -1.04991499 0

0.38 9.405 2.07043897 -1.02129172 8.44640181 8.44640181 11.349190.36 18.03 2.03700564 -0.99259817 8.58128414 17.0276859 5.886378550.34 26.875 2.0030827 -0.96383155 8.7225996 25.7502855 4.36777470.32 36.2 1.96864715 -0.93498881 8.87087081 34.6211564 4.560343470.3 45.85 1.93367411 -0.90606664 9.0266815 43.6478379 5.04529492

0.28 56.01 1.89813661 -0.87706139 9.19068584 52.8385237 6.002204620.26 65.635 1.86200338 -0.84798841 9.3641227 62.2026464 5.518018630.24 75.57 1.82522893 -0.81897494 9.55084636 71.7534927 5.318914950.22 85.545 1.78779315 -0.78986477 9.74442664 81.4979194 4.965869860.2 96.015 1.74965762 -0.76065243 9.94980316 91.4477226 4.99441355

0.18 106.885 1.71078005 -0.73133176 10.1682094 101.615932 5.185277530.16 117.2 1.67111364 -0.70189582 10.4010655 112.016997 4.626978640.14 128.19 1.63060646 -0.67233665 10.6500166 122.667014 4.502421470.12 140.06 1.58913209 -0.64323838 10.9350686 133.602083 4.83369518

Tubo 2h(m) tprom (s) v1 f1 t desv0.4 0 2.35817779 -0.47381909 0

0.38 3.67 2.32181893 -0.46121485 4.03654773 4.03654773 9.080723350.36 7.245 2.28493405 -0.44856739 4.10025955 8.13680728 10.96016220.34 10.805 2.24749905 -0.43587471 4.16699704 12.3038043 12.18163330.32 14.235 2.20948791 -0.42313457 4.23700537 16.5408097 13.94012580.3 17.865 2.17087246 -0.41034454 4.31055827 20.851368 14.322168

0.28 21.91 2.13162217 -0.3975019 4.38796251 25.2393305 13.19104110.26 25.55 2.09170385 -0.38460365 4.46956307 29.7088935 13.99881670.24 29.52 2.05108128 -0.37164641 4.55574958 34.2646431 13.8470525

0.22 33.235 2.00971484 -0.35862638 4.64696389 38.911607 14.58846720.2 37.27 1.96756103 -0.34553927 4.74370943 43.6553164 14.626664

0.18 41.45 1.92457195 -0.33238019 4.84656261 48.501879 14.53939350.16 45.415 1.88069459 -0.3191435 4.95618691 53.458066 15.04556110.14 49.455 1.83585062 -0.30598564 5.07555787 58.5336238 15.51010040.12 53.57 1.78998495 -0.29280131 5.20217521 63.735799 15.9499044

Tubo 5h(m) tprom (s) v1 f1 t desv0.4 0 2.49055784 1.2567514

0.38 3.81 2.45261876 1.22442213 4.68383156 4.68383156 18.65634040.36 7.625 2.41400887 1.19071419 4.77294853 9.45678008 19.37001880.34 11.315 2.37481765 1.15692274 4.85144296 14.308223 20.91960010.32 14.83 2.33501749 1.12304574 4.93380011 19.2420231 22.92910220.3 19.28 2.29457852 1.08908112 5.02034411 24.2623673 20.5353715

0.28 23.295 2.25346836 1.05502675 5.11143827 29.3738055 20.69464760.26 27.36 2.21165176 1.0208805 5.2074913 34.5812968 20.8820880.24 31.355 2.16909028 0.9866402 5.30896485 39.8902617 21.39685560.22 35.35 2.12574186 0.95230371 5.41638259 45.3066443 21.97612390.2 39.85 2.0815603 0.91786894 5.53034148 50.8369857 21.6121896

0.18 44.02 2.0364947 0.8833339 5.65152489 56.4885106 22.07264890.16 48.475 1.99048877 0.84869676 5.78071992 62.2692306 22.15256310.14 53.115 1.94347994 0.81395595 5.91883795 68.1880685 22.10514070.12 57.76 1.8953984 0.77911031 6.06694095 74.2550095 22.2140022


0.38 3.74 2.54245202 2.17040173 5.19105905 5.19105905 27.95304450.36 7.345 2.49959483 1.85543788 5.28217209 10.4732311 29.86882550.34 10.985 2.45602329 1.53935084 5.37805664 15.8512878 30.69963680.32 14.765 2.41169996 1.22209803 5.47913991 21.3304277 30.77963450.3 18.86 2.36658403 0.90363364 5.58590439 26.9163321 29.9310175

0.28 22.945 2.32063084 0.58390831 5.69889737 32.6152294 29.64942940.26 26.935 2.27379133 0.26286866 5.81874255 38.433972 29.91877080.24 30.94 2.22601148 -0.05954319 5.94615425 44.3801262 30.284110.22 35.475 2.17723155 -0.38338963 6.08195009 50.4620763 29.69968230.2 39.525 2.12738501 -0.7087407 6.22709901 56.6891753 30.2776945

0.18 44.26 2.07639779 -1.03567097 6.38269441 63.0718698 29.82608540.16 48.825 2.02418672 -1.36426335 6.55004652 69.6219163 29.87122070.14 53.4 1.97065795 -1.69460947 6.73069775 76.352614 30.06133360.12 58.18 1.91570498 -2.02681116 6.92648798 83.279102 30.1385358


0.38 3.64 2.54245202 2.17040173 5.19105905 5.19105905 29.87943370.36 7.7 2.49959483 1.85543788 5.28217209 10.4732311 26.47923160.34 11.59 2.45602329 1.53935084 5.37805664 15.8512878 26.88291220.32 15.435 2.41169996 1.22209803 5.47913991 21.3304277 27.63858170.3 19.45 2.36658403 0.90363364 5.58590439 26.9163321 27.7390398

0.28 23.48 2.32063084 0.58390831 5.69889737 32.6152294 28.00909150.26 27.135 2.27379133 0.26286866 5.81874255 38.433972 29.39839780.24 31.25 2.22601148 -0.05954319 5.94615425 44.3801262 29.58559910.22 35.435 2.17723155 -0.38338963 6.08195009 50.4620763 29.77894970.2 39.78 2.12738501 -0.7087407 6.22709901 56.6891753 29.8278732

0.18 43.635 2.07639779 -1.03567097 6.38269441 63.0718698 30.81701850.16 47.64 2.02418672 -1.36426335 6.55004652 69.6219163 31.5732710.14 52.11 1.97065795 -1.69460947 6.73069775 76.352614 31.75086320.12 56.28 1.91570498 -2.02681116 6.92648798 83.279102 32.4200206


0.38 2.665 2.54245024 2.17037213 5.19111617 5.19111617 48.66229320.36 5.48 2.49959258 1.855401 5.28223038 10.4733466 47.67670510.34 8.23 2.45602056 1.53930675 5.37811651 15.8514631 48.08050230.32 10.84 2.41169673 1.22204674 5.47920189 21.330665 49.18114360.3 13.8 2.3666896 0.90528343 5.57242424 26.9030892 48.7047755

0.28 16.765 2.32070915 0.58511162 5.70225818 32.6053474 48.58205370.26 19.57 2.27384411 0.26366549 5.8219002 38.4272476 49.0725950.24 22.405 2.22604085 -0.05910789 5.9490586 44.3763062 49.51134530.22 25.345 2.177239 -0.38328125 6.08467788 50.4609841 49.77307620.2 28.16 2.12737479 -0.70888641 6.22930731 56.6902914 50.3265915

0.18 31.075 2.07637407 -1.03600219 6.38438941 63.0746808 50.73300470.16 34.23 2.02415473 -1.3647002 6.5510906 69.6257714 50.83716950.14 37.325 1.97062433 -1.69505818 6.73091293 76.3566843 51.11757360.12 40.01 1.91567815 -2.02716063 6.92564152 83.2823258 51.9585943

dimensiones de los tubos Datos del AguaT (°C)

Kc m tubo Largo (m) Diametro (m) D^2 18 998.620.3089839 1.55597703 1 0.194 0.0048 0.00002304

0.30867743 1.02556035 2 0.194 0.0067 0.000044890.30873255 1.08599984 5 0.194 0.0064 0.000040960.30846462 2.55595888 3 0.58 0.00775 0.00006006250.30846896 1.59158974 4 0.36 0.00773 0.00005975290.30846896 0.64105698 6 0.145 0.00773 0.0000597529

datos de tiempoTubo 1 Tubo 2 Tubo 5

1 corrida 2 corrida 1 corrida 2 corrida 1 corrida h(m) t (s) t (s) t (s) t (s) t (s)0.338 0 0 0 0 00.318 9.75 9.58 4.18 4.07 4.170.298 9.79 8.53 3.44 2.96 3.860.278 9 9.9 3.28 3.17 3.390.258 8.59 9.13 3.4 3.8 3.980.238 9.28 9.18 3.29 3.55 3.930.218 9.75 9.04 3.46 3.79 3.910.198 10.2 10.61 3.72 3.84 4.110.178 9.65 9.88 4.06 3.65 4.390.158 10.43 9.89 3.83 3.7 40.138 10.03 10.5 3.94 4.16 4.390.118 10.51 10.25 4.21 3.7 4.380.098 11.26 10.68 4.18 4.32 3.80.078 11.28 10.66 3.86 3.98 5.370.058 11.41 12.5 4.34 4.61 4.73


h(m) t (s) t (s) t (s) t (s) t (s)0.338 0 0 0 0 00.318 9.75 9.58 4.18 4.07 4.170.298 19.54 18.11 7.62 7.03 8.030.278 28.54 28.01 10.9 10.2 11.420.258 37.13 37.14 14.3 14 15.40.238 46.41 46.32 17.59 17.55 19.330.218 56.16 55.36 21.05 21.34 23.240.198 66.36 65.97 24.77 25.18 27.350.178 76.01 75.85 28.83 28.83 31.740.158 86.44 85.74 32.66 32.53 35.740.138 96.47 96.24 36.6 36.69 40.130.118 106.98 106.49 40.81 40.39 44.510.098 118.24 117.17 44.99 44.71 48.31

ρ (kg/m3)

0.078 129.52 127.83 48.85 48.69 53.680.058 140.93 140.33 53.19 53.3 58.41

H del cono H de la base total0.062 0.064 0.126


Tubo 1

h(m) t prom (s) C veloc (m/s) Re t escurrimiento (s)0.338 0 0.23514995 3.3479902541 15,197.14 00.318 9.665 3.2894558538 14,931.44 5.5282050.298 18.825 3.2301295882 14,662.15 11.14902450.278 28.275 3.1699745799 14,389.09 16.86685480.258 37.135 3.1089509331 14,112.09 22.6864440.238 46.365 3.0470153725 13,830.96 28.61293330.218 55.76 2.9841208249 13,545.47 34.65190270.198 66.165 2.9202159301 13,255.39 40.80942530.178 75.93 2.8552444689 12,960.47 47.09213020.158 86.09 2.7891446874 12,660.43 53.50727530.138 96.355 2.7218484951 12,354.97 60.06283370.118 106.735 2.6532805058 12,043.72 66.76759530.098 117.705 2.5833568837 11,726.33 73.6312880.078 128.675 2.5119839402 11,402.35 80.66472290.058 140.63 2.4390564162 11,071.32 87.879969

Tubo 2


Tubo 5


Tubo 3


Tubo 4

h(m) t prom (s) C veloc (m/s) Re t escurrimiento (s)0.338 0 0.23821048 3.7583527387 27,473.46 00.318 3.62 3.7059514951 27,090.41 1.911487020.298 7.165 3.6529885437 26,703.25 3.8487293

0.278 11.04 3.5994432972 26,311.84 5.812704270.258 14.88 3.545293852 25,916.01 7.804451590.238 18.87 3.4905168655 25,515.59 9.825078720.218 22.57 3.4350874195 25,110.40 11.87576730.198 26.755 3.3789788652 24,700.25 13.95778020.178 30.705 3.322162649 24,284.92 16.07246960.158 34.68 3.2646081142 23,864.20 18.22128560.138 38.94 3.2062822753 23,437.84 20.4057870.118 43.13 3.1471495604 23,005.58 22.62765250.098 47.425 3.0871715154 22,567.14 24.8886940.078 51.67 3.0263064623 22,122.22 27.19087180.058 56.105 2.9645091046 21,670.48 29.5363119

Tubo 6


angulo h de la base al visorg (m/s2) Tanque 1 - 1 0.064

0.001056 9.81 Tanque 2 45º 0.70710678 0.064Tanque 3 60º 0.5 0.064

Diámetro 0.1485D^2 0.02205225

alfa 1


t (s) t (s) t (s) t (s) t (s) t (s) t (s)0 0 0 0 0 0 0

4.02 4.23 3.69 3.53 3.71 2.59 2.63.57 3.26 3.71 3.79 3.3 2.67 2.523.8 3.54 3.43 3.96 3.79 2.85 2.83

3.94 3.98 3.9 3.93 3.75 2.86 2.543.67 4.08 4.05 4.09 3.89 2.61 2.964.34 3.95 3.77 3.45 3.95 2.75 2.684.18 3.57 3.67 4.37 4 2.63 2.893.95 4.48 4.15 3.86 4.04 2.8 2.74.41 4.13 3.92 3.7 4.25 3.25 2.654.08 4.31 4.02 4.19 4.33 2.92 3.074.24 3.94 4.37 4.03 4.35 2.95 3.484.58 4.47 3.93 4.43 4.16 3.29 3.144.87 4.93 5.17 4.33 4.16 3.14 3.054.26 4.37 4.64 4.43 4.44 2.95 3.54


t (s) t (s) t (s) t (s) t (s) t (s) t (s)0 0 0 0 0 0 0

4.02 4.23 3.69 3.53 3.71 2.59 2.67.59 7.49 7.4 7.32 7.01 5.26 5.12

11.39 11.03 10.83 11.28 10.8 8.11 7.9515.33 15.01 14.73 15.21 14.55 10.97 10.49

19 19.09 18.78 19.3 18.44 13.58 13.4523.34 23.04 22.55 22.75 22.39 16.33 16.1327.52 26.61 26.22 27.12 26.39 18.96 19.0231.47 31.09 30.37 30.98 30.43 21.76 21.7235.88 35.22 34.29 34.68 34.68 25.01 24.3739.96 39.53 38.31 38.87 39.01 27.93 27.4444.2 43.47 42.68 42.9 43.36 30.88 30.92

48.78 47.94 46.61 47.33 47.52 34.17 34.06

Seno (Ɵ/2)μ (Kg/m.s)

53.65 52.87 51.78 51.66 51.68 37.31 37.1157.91 57.24 56.42 56.09 56.12 40.26 40.65

angulo seno (θ/2)0.78539816 0.707106781186548


Tubo 1

%desviacion h(m) tprom (s)0 0.338 0

74.830709 0.318 9.66568.8488528 0.298 18.82567.6364706 0.278 28.27563.6880595 0.258 37.13562.042107 0.238 46.36560.914685 0.218 55.76

62.1316632 0.198 66.16561.2371318 0.178 75.9360.8940084 0.158 86.0960.4236666 0.138 96.35559.8604826 0.118 106.73559.8573149 0.098 117.70559.5183065 0.078 128.67560.0250905 0.058 140.63

Tubo 2


84.4843331 0.318 4.12562.439048 0.298 7.325

54.6457652 0.278 10.5554.2089887 0.258 14.1551.8200242 0.238 17.5751.2258424 0.218 21.19551.3089771 0.198 24.97551.3616954 0.178 28.8350.6113934 0.158 32.59550.8441895 0.138 36.64550.3418798 0.118 40.650.5981812 0.098 44.8549.481961 0.078 48.77

49.7988963 0.058 53.245

Tubo 5


61.7294815 0.318 4.09552.9444039 0.298 7.8147.6320371 0.278 11.40547.8718698 0.258 15.36546.2398958 0.238 19.16546.7444993 0.218 23.2946.7789963 0.198 27.43546.5301137 0.178 31.60546.1204203 0.158 35.8145.566657 0.138 40.04545.042834 0.118 44.355

43.9466412 0.098 48.54545.2536035 0.078 53.66544.4953697 0.058 58.16

Tubo 3


80.8465274 0.318 3.9669.0957464 0.298 7.44564.6062128 0.278 10.9367.0370757 0.258 14.8769.2138381 0.238 18.93568.7992247 0.218 22.79566.7008351 0.198 26.41568.7023291 0.178 30.7368.5952591 0.158 34.75568.8973031 0.138 38.9268.8952427 0.118 43.07568.8588974 0.098 47.27571.4274925 0.078 52.32571.7731539 0.058 56.83

Tubo 4


89.3813544 0.318 3.6286.1653405 0.298 7.165

89.9288091 0.278 11.0490.6604178 0.258 14.8892.0595299 0.238 18.8790.0508777 0.218 22.5791.6852076 0.198 26.75591.0409591 0.178 30.70590.326856 0.158 34.68

90.8282192 0.138 38.9490.6074876 0.118 43.1390.5483668 0.098 47.42590.0270076 0.078 51.6789.9526256 0.058 56.105

Tubo 6


93.8319021 0.318 2.59592.098234 0.298 5.19

96.3277125 0.278 8.0394.9063732 0.258 10.7394.501531 0.238 13.515

92.7169898 0.218 16.2391.308056 0.198 18.99

89.6266363 0.178 21.7489.3620006 0.158 24.6988.9706778 0.138 27.68589.5359187 0.118 30.989.5368152 0.098 34.11588.4792217 0.078 37.2187.8483095 0.058 40.455

H del tronco de cono0

0.050.09

Tubo 1 Tubo 2 Tubo 5 Tubo 3 Tubo 4h(m) t prom (s) t prom (s) t prom (s) t prom (s) t prom (s)0.338 0 0 0 0 00.318 9.665 4.125 4.095 3.96 3.620.298 18.825 7.325 7.81 7.445 7.1650.278 28.275 10.55 11.405 10.93 11.040.258 37.135 14.15 15.365 14.87 14.880.238 46.365 17.57 19.165 18.935 18.870.218 55.76 21.195 23.29 22.795 22.570.198 66.165 24.975 27.435 26.415 26.7550.178 75.93 28.83 31.605 30.73 30.7050.158 86.09 32.595 35.81 34.755 34.680.138 96.355 36.645 40.045 38.92 38.940.118 106.735 40.6 44.355 43.075 43.130.098 117.705 44.85 48.545 47.275 47.425

0.078 128.675 48.77 53.665 52.325 51.670.058 140.63 53.245 58.16 56.83 56.105

raiz0.840896415253715


Velocidades iteradasKc Vsupues(m/s) V1 V2 V3 V4 V5

0.420008926977322 0 0 0 0 0 02 2.2235965 2.23767883 2.23851434 2.23856373 2.238566652 2.19103843 2.20298955 2.2036997 2.20374177 2.203744262 2.15798919 2.16780433 2.16838848 2.16842316 2.168425222 2.12442589 2.1321005 2.132558 2.13258521 2.132586832 2.09032374 2.09585358 2.09618378 2.09620347 2.096204642 2.05565593 2.05903712 2.05923936 2.05925145 2.059252172 2.02039335 2.02162239 2.02169603 2.02170044 2.021700712 1.98450429 1.98357817 1.98352257 1.98351923 1.983519032 1.94795412 1.94487038 1.94468491 1.94467375 1.944673072 1.91070491 1.90546175 1.90514579 1.90512672 1.905125572 1.87271493 1.86531133 1.86486427 1.86483721 1.864835582 1.83393817 1.824374 1.82379525 1.82376013 1.8237582 1.7943236 1.78259981 1.78188883 1.78184555 1.781842922 1.75381446 1.73993326 1.73908953 1.73903801 1.73903487


0.419592334868278 0 0 0 0 0 02 2.43133111 2.45353614 2.45455816 2.45460495 2.454607092 2.39573137 2.41597518 2.41690883 2.41695168 2.416953652 2.35959459 2.37786987 2.37871449 2.37875335 2.378755142 2.3228957 2.33919518 2.33995011 2.33998494 2.339986542 2.28560764 2.29992412 2.30058869 2.30061942 2.300620852 2.24770107 2.2600275 2.26060099 2.26062759 2.260628832 2.20914416 2.21947361 2.21995533 2.21997774 2.219978782 2.16990224 2.17822798 2.17861721 2.17863536 2.178636212 2.12993745 2.13625299 2.13654899 2.13656284 2.136563492 2.08920831 2.09350746 2.09370948 2.09371896 2.093719412 2.04766921 2.04994615 2.05005344 2.05005849 2.050058732 2.00526981 2.00551919 2.00553098 2.00553153 2.005531562 1.96195434 1.96017138 1.96008688 1.96008288 1.960082692 1.91766072 1.91384132 1.91365977 1.91365113 1.91365072


0.419667264249905 0 0 0 0 0 02 2.40468451 2.42617285 2.4271997 2.42724851 2.427250832 2.36947493 2.38896889 2.38990228 2.38994676 2.389948882 2.33373419 2.35122669 2.35206594 2.35210603 2.352107952 2.29743751 2.31292153 2.31366597 2.31370162 2.313703322 2.26055811 2.27402674 2.27467567 2.27470683 2.274708322 2.22306699 2.23451345 2.23506617 2.23509278 2.235094062 2.18493265 2.19435036 2.19480616 2.19482816 2.194829222 2.14612081 2.1535034 2.15386155 2.15387889 2.153879732 2.10659402 2.1119354 2.11219516 2.11220777 2.112208392 2.06631126 2.06960568 2.0697663 2.06977413 2.069774512 2.02522741 2.02646956 2.02653027 2.02653324 2.026533392 1.9832927 1.98247775 1.9824378 1.98243584 1.982435752 1.94045195 1.93757572 1.93743434 1.93742739 1.937427042 1.89664378 1.89170286 1.89145927 1.89144724 1.89144665


0.419303055976999 0 0 0 0 0 02 2.42881437 2.46425761 2.46689345 2.46708791 2.467102252 2.40609344 2.43951051 2.44199723 2.44218087 2.442194432 2.38315589 2.41454334 2.41688051 2.41705329 2.417066052 2.35999542 2.38934984 2.39153704 2.3916989 2.391710872 2.33660539 2.36392345 2.36596026 2.36611115 2.366122322 2.31297885 2.33825729 2.34014328 2.34028315 2.340293522 2.28910846 2.31234412 2.31407888 2.31420768 2.314217242 2.26498652 2.28617633 2.28775945 2.28787712 2.287885862 2.2406049 2.25974591 2.26117697 2.26128346 2.261291382 2.21595503 2.23304442 2.23432301 2.23441827 2.234425362 2.19102786 2.20606294 2.20718865 2.20727262 2.207278882 2.16581381 2.17879205 2.17976449 2.17983711 2.179842532 2.14030274 2.15122179 2.15204056 2.15210178 2.152106362 2.11448391 2.12334161 2.12400632 2.12405609 2.12405981


0.419308958810727 0 0 0 0 0 02 2.46542056 2.49645564 2.49829664 2.49840508 2.498411462 2.43638043 2.46532519 2.46704433 2.46714575 2.46715173

2 2.40698997 2.43383871 2.43543539 2.43552974 2.435535322 2.37723617 2.40198328 2.40345688 2.40354411 2.403549272 2.34710521 2.36974513 2.37109504 2.3711751 2.371179842 2.31658239 2.33710965 2.33833526 2.33840807 2.338412392 2.285652 2.30406124 2.30516192 2.30522743 2.305231332 2.25429726 2.27058325 2.27155837 2.27161652 2.271619992 2.22250022 2.23665788 2.23750681 2.23755753 2.237560562 2.19024161 2.20226605 2.20298815 2.20303138 2.203033962 2.15750073 2.16738726 2.16798188 2.16801756 2.168019692 2.12425528 2.13199946 2.13246597 2.13249402 2.13249572 2.09048119 2.09607888 2.09641663 2.09643698 2.096438212 2.0561524 2.0595998 2.05980816 2.05982074 2.0598215


0.419308958810727 0 0 0 0 0 02 2.5301925 2.51005676 2.5093962 2.50937442 2.509373712 2.4902816 2.46787978 2.46714305 2.46711869 2.467117882 2.44972056 2.46654017 2.46709875 2.46711723 2.467117842 2.40847652 2.42364775 2.42415303 2.4241698 2.424170362 2.4902816 2.5087415 2.50935284 2.50937299 2.509373662 2.32379342 2.33564346 2.33604053 2.3360538 2.336054242 2.28027284 2.29045012 2.29079223 2.2908037 2.290804082 2.23590532 2.2444018 2.24468836 2.244698 2.244698322 2.19063939 2.19744715 2.19767754 2.19768533 2.197685592 2.14441817 2.14952943 2.14970303 2.14970892 2.149709122 2.0971785 2.10058571 2.10070187 2.10070583 2.100705962 2.04884992 2.05054584 2.05060389 2.05060587 2.050605942 1.99935348 1.99933127 1.99933051 1.99933048 1.999330482 1.94860019 1.94685353 1.94679325 1.94679117 1.94679109

Tubo 6 Tubo 1 Tubo 2 Tubo 5 Tubo 3 Tubo 4t prom (s) velocidad (m/s) velocidad (m/s) velocidad (m/s) velocidad (m/s) velocidad (m/s)

0 0 0 0 0 02.595 1.980608186756 2.381822232123 2.62947501717 1.854318418314 2.038991167945

5.19 2.089801105349 3.070317721096 2.898438814351 2.10705909226 2.0821292039388.03 2.025669642857 3.046516808529 2.995187815108 2.10705909226 1.904812394313

10.73 2.160561865124 2.729171307641 2.719116210938 1.863731202164 1.92217396561513.515 2.073952126219 2.87281190278 2.833605314556 1.806420894594 1.849911786457

16.23 2.037528273018 2.710349436554 2.6103515625 1.902357755576 1.99490487242218.99 1.83974801778 2.599210769182 2.597756380051 2.028480921692 1.76371517991921.74 1.960325460829 2.548642466279 2.582182301034 1.701761514838 1.8686450703724.69 1.884112020177 2.609566190573 2.56068970162 1.824372903484 1.856892585651

27.685 1.864839564053 2.425930051236 2.542550223214 1.763049444544 1.73266385632930.9 1.844179010116 2.484201443112 2.498306309817 1.76729264417 1.761610507867

34.115 1.74499344804 2.311768637061 2.569856848523 1.748357365839 1.71854436041

37.21 1.74499344804 2.50638181314 2.103066444397 1.454079393371 1.73878634345440.455 1.601219416562 2.195534459778 2.395483914419 1.629989109106 1.664294933024

Velocidades iteradas Re iteradosV6 Re1 Re2 Re3 Re4 Re50 0.00 0.00 0.00 0.00 0.00

2.23856682 9078.36 10093.31 10157.23 10161.02 10161.252.20374441 9078.36 9945.52 9999.77 10002.99 10003.182.16842534 9078.36 9795.51 9840.06 9842.71 9842.872.13258693 9078.36 9643.16 9677.99 9680.07 9680.192.09620471 9078.36 9488.36 9513.46 9514.96 9515.052.05925221 9078.36 9331.00 9346.34 9347.26 9347.322.02170072 9078.36 9170.93 9176.51 9176.85 9176.871.98351902 9078.36 9008.03 9003.82 9003.57 9003.551.94467303 9078.36 8842.12 8828.12 8827.28 8827.231.9051255 9078.36 8673.04 8649.24 8647.80 8647.72

1.86483548 9078.36 8500.59 8466.99 8464.96 8464.841.82375787 9078.36 8324.58 8281.17 8278.54 8278.381.78184276 9078.36 8144.76 8091.54 8088.32 8088.121.73903467 9078.36 7960.88 7897.87 7894.04 7893.81


2.45460719 12671.88 15404.77 15545.46 15551.94 15552.232.41695374 12671.88 15179.21 15307.48 15313.39 15313.662.37875522 12671.88 14950.25 15066.04 15071.40 15071.642.33998662 12671.88 14717.73 14821.00 14825.79 14826.012.30062091 12671.88 14481.48 14572.18 14576.39 14576.592.26062888 12671.88 14241.30 14319.40 14323.04 14323.202.21997883 12671.88 13997.01 14062.45 14065.51 14065.652.17863625 12671.88 13748.37 13801.12 13803.59 13803.712.13656352 12671.88 13495.16 13535.17 13537.05 13537.142.09371943 12671.88 13237.10 13264.34 13265.62 13265.682.05005874 12671.88 12973.91 12988.34 12989.02 12989.052.00553156 12671.88 12705.27 12706.85 12706.93 12706.931.96008268 12671.88 12430.83 12419.53 12419.00 12418.971.9136507 12671.88 12150.19 12125.99 12124.84 12124.78


2.42725094 12104.48 14553.73 14683.79 14690.00 14690.302.38994898 12104.48 14340.64 14458.62 14464.27 14464.542.35210804 12104.48 14124.33 14230.19 14235.27 14235.522.31370341 12104.48 13904.65 13998.36 14002.87 14003.082.27470839 12104.48 13681.45 13762.96 13766.89 13767.082.23509413 12104.48 13454.54 13523.82 13527.16 13527.322.19482928 12104.48 13223.74 13280.74 13283.50 13283.632.15387977 12104.48 12988.84 13033.52 13035.69 13035.802.11220842 12104.48 12749.62 12781.95 12783.52 12783.592.06977453 12104.48 12505.82 12525.76 12526.73 12526.772.02653339 12104.48 12257.17 12264.69 12265.05 12265.071.98243574 12104.48 12003.37 11998.44 11998.19 11998.181.93742703 12104.48 11744.09 11726.68 11725.82 11725.781.89144662 12104.48 11478.95 11449.04 11447.57 11447.50


2.46710331 14657.77 17800.51 18060.27 18079.58 18081.012.44219543 14657.77 17633.99 17878.90 17897.12 17898.47

2.417067 14657.77 17465.88 17695.92 17713.04 17714.312.39171176 14657.77 17296.14 17511.28 17527.31 17528.492.36612315 14657.77 17124.72 17324.93 17339.86 17340.962.34029429 14657.77 16951.56 17136.82 17150.65 17151.672.31421795 14657.77 16776.62 16946.91 16959.62 16960.572.28788651 14657.77 16599.83 16755.13 16766.73 16767.592.26129197 14657.77 16421.14 16561.42 16571.91 16572.692.23442589 14657.77 16240.48 16365.73 16375.10 16375.802.20727935 14657.77 16057.80 16167.99 16176.24 16176.852.17984294 14657.77 15873.01 15968.12 15975.25 15975.782.1521067 14657.77 15686.04 15766.06 15772.06 15772.51

2.12406009 14657.77 15496.81 15561.73 15566.60 15566.97


2.49841184 14619.95 18022.16 18249.03 18262.48 18263.282.46715209 14619.95 17809.88 18021.46 18034.03 18034.77

2.43553565 14619.95 17595.03 17791.30 17802.97 17803.662.40354958 14619.95 17377.53 17558.44 17569.21 17569.852.37118012 14619.95 17157.28 17322.78 17332.64 17333.232.33841265 14619.95 16934.16 17084.21 17093.17 17093.702.30523156 14619.95 16708.06 16842.63 16850.67 16851.152.27162019 14619.95 16478.85 16597.90 16605.03 16605.462.23756074 14619.95 16246.42 16349.91 16356.12 16356.492.20303412 14619.95 16010.61 16098.51 16103.79 16104.102.16801982 14619.95 15771.27 15843.54 15847.89 15848.152.1324958 14619.95 15528.25 15584.86 15588.27 15588.48

2.09643828 14619.95 15281.36 15322.28 15324.75 15324.902.05982155 14619.95 15030.42 15055.62 15057.14 15057.24


2.50937368 14619.95 18495.64 18348.45 18343.62 18343.462.46711786 14619.95 18203.89 18040.14 18034.75 18034.572.46711786 14619.95 17907.39 18030.34 18034.43 18034.562.42417037 14619.95 17605.90 17716.80 17720.50 17720.622.50937368 14619.95 18203.89 18338.84 18343.30 18343.452.33605425 14619.95 16986.87 17073.49 17076.40 17076.492.2908041 14619.95 16668.74 16743.13 16745.63 16745.72

2.24469834 14619.95 16344.41 16406.52 16408.61 16408.682.1976856 14619.95 16013.52 16063.28 16064.97 16065.02

2.14970913 14619.95 15675.64 15713.00 15714.27 15714.322.10070597 14619.95 15330.32 15355.23 15356.08 15356.112.05060594 14619.95 14977.04 14989.44 14989.86 14989.881.99933048 14619.95 14615.22 14615.06 14615.05 14615.051.94679109 14619.95 14244.22 14231.45 14231.01 14230.99

Tubo 6velocidad (m/s)

02.8443730358232.8443730358232.5989957844942.7337585288752.6503224516922.7186548905942.674328995638

2.684053828352.5020840772752.4644901595872.2958469760382.295846976038

2.3848620445762.274621888432

Re iterados fd iteradosRe6 fd1 fd2 fd3 fd4 fd5 fd60.00 0.0000 0 0 0 0 0

10161.26 0.0324 0.03156662 0.03151684 0.0315139 0.03151372 0.0315137110003.20 0.0324 0.03168324 0.03164018 0.03163763 0.03163748 0.031637479842.88 0.0324 0.03180385 0.03176779 0.03176565 0.03176553 0.031765529680.20 0.0324 0.03192873 0.03189996 0.03189825 0.03189815 0.031898149515.05 0.0324 0.03205817 0.032037 0.03203574 0.03203566 0.032035669347.32 0.0324 0.03219248 0.03217926 0.03217847 0.03217842 0.032178429176.87 0.0324 0.03233204 0.03232712 0.03232683 0.03232681 0.032326819003.55 0.0324 0.03247724 0.03248103 0.03248125 0.03248127 0.032481278827.22 0.0324 0.03262852 0.03264145 0.03264223 0.03264227 0.032642288647.71 0.0324 0.0327864 0.03280893 0.03281029 0.03281037 0.032810378464.83 0.0324 0.03295142 0.03298407 0.03298605 0.03298617 0.032986178278.37 0.0324 0.03312424 0.03316757 0.0331702 0.03317036 0.033170378088.11 0.0324 0.03330557 0.0333602 0.03336352 0.03336373 0.033363747893.80 0.0324 0.03349625 0.03356286 0.03356693 0.03356718 0.03356719


15552.25 0.0298 0.02840028 0.02833581 0.02833286 0.02833272 0.0283327115313.68 0.0298 0.0285052 0.0284453 0.02844256 0.02844243 0.0284424215071.65 0.0298 0.02861372 0.02855858 0.02855605 0.02855593 0.0285559314826.02 0.0298 0.02872607 0.0286759 0.02867359 0.02867348 0.0286734814576.60 0.0298 0.02884252 0.02879753 0.02879545 0.02879536 0.0287953514323.21 0.0298 0.02896337 0.02892379 0.02892196 0.02892187 0.0289218714065.66 0.0298 0.02908893 0.02905502 0.02905344 0.02905337 0.0290533713803.71 0.0298 0.02921956 0.0291916 0.02919029 0.02919023 0.0291902313537.14 0.0298 0.02935567 0.02933395 0.02933293 0.02933288 0.0293328813265.68 0.0298 0.02949771 0.02948255 0.02948184 0.02948181 0.029481812989.05 0.0298 0.02964618 0.02963794 0.02963756 0.02963754 0.0296375412706.93 0.0298 0.02980166 0.02980074 0.02980069 0.02980069 0.0298006912418.97 0.0298 0.02996481 0.02997162 0.02997194 0.02997196 0.0299719612124.78 0.0298 0.03013636 0.03015138 0.0301521 0.03015213 0.03015213


14690.31 0.0302 0.02880666 0.02874266 0.02873962 0.02873948 0.0287394714464.55 0.0302 0.02891308 0.02885392 0.0288511 0.02885096 0.0288509614235.53 0.0302 0.02902315 0.02896902 0.02896643 0.02896631 0.028966314003.09 0.0302 0.02913711 0.02908822 0.02908588 0.02908577 0.0290857613767.09 0.0302 0.02925523 0.02921181 0.02920973 0.02920963 0.0292096213527.33 0.0302 0.0293778 0.0293401 0.02933829 0.0293382 0.029338213283.64 0.0302 0.02950515 0.02947345 0.02947191 0.02947184 0.0294718413035.80 0.0302 0.02963766 0.02961222 0.02961099 0.02961093 0.0296109312783.60 0.0302 0.02977571 0.02975687 0.02975595 0.02975591 0.0297559112526.78 0.0302 0.02991978 0.02990787 0.02990729 0.02990726 0.0299072612265.07 0.0302 0.03007038 0.03006577 0.03006555 0.03006554 0.0300655411998.18 0.0302 0.03022809 0.0302312 0.03023135 0.03023135 0.0302313611725.78 0.0302 0.03039357 0.03040484 0.03040539 0.03040542 0.0304054211447.49 0.0302 0.03056757 0.03058751 0.0305885 0.03058855 0.03058855


18081.11 0.0288 0.02739229 0.02729326 0.02728597 0.02728543 0.0272853917898.57 0.0288 0.02745673 0.02736222 0.02735525 0.02735473 0.027354717714.40 0.0288 0.02752256 0.02743268 0.02742604 0.02742555 0.0274255217528.58 0.0288 0.02758984 0.02750471 0.02749842 0.02749795 0.0274979217341.04 0.0288 0.02765863 0.02757837 0.02757243 0.02757199 0.0275719617151.75 0.0288 0.02772899 0.02765374 0.02764817 0.02764775 0.0276477216960.64 0.0288 0.027801 0.02773089 0.02772569 0.02772531 0.0277252816767.66 0.0288 0.02787472 0.02780991 0.02780509 0.02780474 0.0278047116572.75 0.0288 0.02795025 0.02789087 0.02788646 0.02788613 0.027886116375.85 0.0288 0.02802765 0.02797387 0.02796987 0.02796957 0.0279695516176.90 0.0288 0.02810703 0.02805902 0.02805544 0.02805517 0.0280551515975.82 0.0288 0.02818848 0.02814641 0.02814327 0.02814304 0.0281430215772.54 0.0288 0.02827211 0.02823616 0.02823348 0.02823328 0.0282332615567.00 0.0288 0.02835802 0.0283284 0.02832618 0.02832601 0.028326


18263.32 0.0288 0.02730768 0.02722241 0.02721739 0.0272171 0.0272170818034.82 0.0288 0.02738869 0.02730794 0.02730318 0.0273029 0.02730289

17803.70 0.0288 0.02747192 0.02739584 0.02739135 0.02739108 0.0273910617569.88 0.0288 0.02755748 0.02748622 0.02748201 0.02748176 0.0274817417333.26 0.0288 0.0276455 0.02757923 0.0275753 0.02757507 0.0275750617093.73 0.0288 0.02773611 0.02767501 0.02767138 0.02767116 0.0276711516851.18 0.0288 0.02782947 0.02777372 0.0277704 0.0277702 0.0277701916605.48 0.0288 0.02792574 0.02787553 0.02787254 0.02787236 0.0278723516356.51 0.0288 0.02802509 0.02798064 0.02797798 0.02797783 0.0279778216104.12 0.0288 0.02812772 0.02808925 0.02808694 0.02808681 0.028086815848.17 0.0288 0.02823383 0.02820158 0.02819964 0.02819953 0.0281995215588.49 0.0288 0.02834365 0.02831788 0.02831633 0.02831624 0.0283162315324.91 0.0288 0.02845745 0.02843843 0.02843728 0.02843722 0.0284372115057.24 0.0288 0.02857549 0.02856353 0.0285628 0.02856276 0.02856276


18343.46 0.0288 0.02713121 0.02718546 0.02718725 0.0271873 0.0271873118034.57 0.0288 0.02723927 0.02730087 0.02730291 0.02730298 0.0273029818034.57 0.0288 0.02735133 0.02730458 0.02730303 0.02730298 0.0273029817720.62 0.0288 0.02746768 0.02742459 0.02742316 0.02742311 0.0274231118343.46 0.0288 0.02723927 0.02718902 0.02718736 0.02718731 0.0271873117076.50 0.0288 0.02771457 0.02767935 0.02767817 0.02767813 0.0276781316745.72 0.0288 0.02784587 0.02781489 0.02781385 0.02781381 0.0278138116408.69 0.0288 0.02798299 0.02795647 0.02795558 0.02795555 0.0279555516065.02 0.0288 0.02812644 0.02810463 0.0281039 0.02810387 0.0281038715714.32 0.0288 0.02827679 0.02825997 0.0282594 0.02825938 0.0282593815356.11 0.0288 0.0284347 0.02842316 0.02842277 0.02842276 0.0284227614989.88 0.0288 0.02860092 0.028595 0.0285948 0.02859479 0.0285947914615.05 0.0288 0.02877631 0.02877639 0.02877639 0.02877639 0.0287763914230.99 0.0288 0.02896189 0.02896838 0.0289686 0.02896861 0.02896861

alfa 1b 0.25

Método de Armijo

Tubo 1fd prom t escurrimiento(s)%desviacion

0 0 - h(m) tprom (s) v10.01575686 7.41883163 30.2765783 0.338 0 2.132995410.01581874 14.9553859 25.8743847 0.318 9.665 2.098087940.01588276 22.6152509 25.0262496 0.298 18.825 2.062665880.01594907 30.4044657 22.1366636 0.278 28.275 2.026704760.01601783 38.3295731 20.9640396 0.258 37.135 1.990178080.01608921 46.3976797 20.1784236 0.238 46.365 1.953057060.01616341 54.6165258 21.1446517 0.218 55.76 1.91531040.01624063 62.9945675 20.5342032 0.198 66.165 1.876903870.01632114 71.5410715 20.33647 0.178 75.93 1.837800030.01640519 80.2662276 20.0442613 0.158 86.09 1.797957660.01649309 89.1812824 19.6831859 0.138 96.355 1.757331310.01658518 98.2986972 19.742177 0.118 106.735 1.715870610.01668187 107.63234 19.5504999 0.098 117.705 1.673519470.0167836 117.197713 19.9938089 0.078 128.675 1.63021516

0.058 140.63 1.58588715


0 0 - 0.338 0 2.412564950.01416636 5.23958721 21.272424 0.318 4.125 2.373744590.01422121 10.6513196 31.2291785 0.298 7.325 2.334341090.01427796 16.2528473 35.0882966 0.278 10.55 2.294326540.01433674 22.0650455 35.8714217 0.258 14.15 2.25367070.01439768 28.1129068 37.5020159 0.238 17.57 2.212340730.01446094 34.4267767 38.43455 0.218 21.195 2.170300850.01452668 41.0441144 39.1508372 0.198 24.975 2.127512010.01459511 48.0120759 39.9526067 0.178 28.83 2.083931380.01466644 55.3914488 41.155177 0.158 32.595 2.039511870.0147409 63.2629184 42.0750719 0.138 36.645 1.9942015

0.01481877 71.7376167 43.4048665 0.118 40.6 1.947942630.01490034 80.9761972 44.6133536 0.098 44.85 1.900671070.01498598 91.2267686 46.5398142 0.078 48.77 1.8523150.01507607 102.911214 48.2612264 0.058 53.245 1.8027936



0.01436973 3.96331039 3.32271748 0.298 7.81 2.478320570.01442548 7.98829342 2.23193381 0.278 11.405 2.436247130.01448315 12.077845 5.57090256 0.258 15.365 2.393492660.01454288 16.2350928 5.35933399 0.238 19.165 2.350022130.01460481 20.4634235 6.34509417 0.218 23.29 2.305797430.0146691 24.7665128 5.96173069 0.198 27.435 2.2607769

0.01473592 29.1483618 5.87807238 0.178 31.605 2.214914860.01480546 33.6133382 5.97482524 0.158 35.81 2.168161070.01487795 38.166225 6.17358669 0.138 40.045 2.120460070.01495363 42.8122775 6.46374736 0.118 44.355 2.071750330.01503277 47.557291 6.73354374 0.098 48.545 2.021963340.01511568 52.4076816 7.37044924 0.078 53.665 1.971022390.01520271 57.3705824 6.45902879 0.058 58.16 1.918841160.01529427 62.4539609 6.87540207



0.0136427 4.52236474 12.4351921 0.298 7.445 2.581395940.01367735 9.19420465 19.0250785 0.278 10.93 2.534185250.01371276 14.0307499 22.0996736 0.258 14.87 2.486128630.01374896 19.050008 21.94229 0.238 18.935 2.437178580.01378598 24.2735311 21.9932201 0.218 22.795 2.3872830.01382386 29.7274815 23.3201105 0.198 26.415 2.336356170.01386264 35.444148 25.4742983 0.178 30.73 2.284344350.01390236 41.4641724 25.887825 0.158 34.755 2.231194030.01394305 47.839942 27.3515005 0.138 38.92 2.176826610.01398478 54.6409927 28.7714258 0.118 43.075 2.121153960.01402758 61.963109 30.4828297 0.098 47.275 2.064077050.01407151 69.9447818 32.4109693 0.078 52.325 2.005483770.01411663 78.7999471 33.5976712 0.058 56.83 1.94500117

0.014163 88.8924995 36.0688468



0.01360854 4.16956969 13.1804893 0.298 7.165 2.581395940.01365144 8.47657473 15.4729331 0.278 11.04 2.53418525

0.01369553 12.9350625 14.6505863 0.258 14.88 2.486128630.01374087 17.5616438 15.2698905 0.238 18.87 2.437178580.01378753 22.3762014 15.6693323 0.218 22.57 2.3872830.01383558 27.4028726 17.6363723 0.198 26.755 2.336356170.0138851 32.6714488 18.1089269 0.178 30.705 2.28434435

0.01393618 38.2194288 19.6612797 0.158 34.68 2.231194030.01398891 44.0951482 21.3518915 0.138 38.94 2.176826610.0140434 50.3627622 22.6809685 0.118 43.13 2.12115396

0.01409976 57.1106371 24.479918 0.098 47.425 2.064077050.01415812 64.4665251 26.4346885 0.078 51.67 2.005483770.01421861 72.627748 28.8563924 0.058 56.105 1.945001170.01428138 81.92989 31.5207185


0 0 - 0.338 0 2.67350660.01359365 2.67658831 3.0482202 0.318 2.595 2.627874330.01365149 5.39714967 3.83813087 0.298 5.19 2.58147530.01365149 8.16114743 1.60697298 0.278 8.03 2.534268940.01371156 10.9753757 2.23569263 0.258 10.73 2.486210970.01359365 13.8267227 2.25449445 0.238 13.515 2.437252870.01383907 16.7599162 3.16180706 0.218 16.23 2.387341320.01390691 19.7361772 3.78075844 0.198 18.99 2.336417510.01397777 22.7728878 4.53560307 0.178 21.74 2.284416290.01405193 25.873821 4.57536205 0.158 24.69 2.231266620.01412969 29.0431567 4.67633989 0.138 27.685 2.176885190.01421138 32.2855461 4.2915367 0.118 30.9 2.121181950.0142974 35.6061887 4.18800421 0.098 34.115 2.0640540.0143882 39.0109277 4.61646974 0.078 37.21 2.00538434

0.01448431 42.5063664 4.82602145 0.058 40.455 1.94503894

f1 t desv-1.09670248 0-1.06436897 8.30297415 8.30297415 16.4040719-1.03196871 8.44175639 16.7447305 12.4234275-0.99949956 8.58747171 25.3322022 11.6168256

-0.9669592 8.74071185 34.0729141 8.98686241-0.93434519 8.90214144 42.9750555 7.88816774-0.90165488 9.07250998 52.0475655 7.13277259-0.86888544 9.25266621 61.3002317 7.93597045-0.83603383 9.44357565 70.7438074 7.33094926-0.80309676 9.64634207 80.3901494 7.09023506-0.77007067 9.86223392 90.2523834 6.76172352-0.73695168 10.0927173 100.345101 6.36792358-0.70373558 10.3394973 110.684598 6.3427091-0.67041774 10.6045702 121.289168 6.08944062-0.63699307 10.890291 132.179459 6.39323307

f1 t desv-0.50323995 0-0.48805638 3.94661685 3.94661685 4.51990046-0.47283404 4.01177711 7.95839395 7.9588163-0.45757161 4.08017764 12.0385716 12.3650184-0.44226773 4.1520942 16.1906658 12.6039646

-0.4269209 4.22783646 20.4185023 13.9505935-0.41152955 4.30775355 24.7262558 14.2814012-0.39609196 4.3922407 29.1184965 14.2297749-0.38060628 4.48174746 33.600244 14.1970516-0.36507054 4.57678754 38.1770315 14.6214394-0.34948257 4.67795121 42.8549827 14.4906901-0.33384003 4.78592046 47.6409032 14.7791136-0.31814034 4.90148823 52.5423914 14.6403527

-0.3023807 5.02558262 57.567974 15.2827578-0.28655801 5.15929806 62.7272721 15.1166658

f1 t desv1.299406651.26446253 4.61650723 4.61650723 11.29657551.22942016 4.69353944 9.31004667 16.11212831.19427617 4.77441757 14.0844642 19.02425391.15902702 4.85946975 18.943934 18.89224271.12366886 4.9490645 23.8929985 19.7882174

1.0881976 5.04361742 28.9366159 19.51373971.05260882 5.14359909 34.080215 19.49874731.01689776 5.24954484 39.3297599 19.64100440.98105925 5.36206671 44.6918266 19.8734920.94508772 5.48186769 50.1736942 20.18726030.90897706 5.60976083 55.7834551 20.48717680.87272062 5.74669124 61.5301463 21.10371440.83631109 5.89376562 67.4239119 20.4065762

0.7997404 6.05228932 73.4762013 20.8451186

f1 t desv3.15538592

2.8070334 5.14411414 5.14411414 23.01881542.45752267 5.23838602 10.3825002 28.29280152.10681499 5.33777534 15.7202755 30.47195641.75486921 5.44275484 21.1630303 29.73596051.40164169 5.55386008 26.7168904 29.12723111.04708598 5.67170046 32.3885909 29.62027870.69073951 5.80020681 38.1887977 30.83050110.33271087 5.93586652 44.1246642 30.3564105

-0.02680424 6.0787779 50.2034421 30.7716791-0.38786587 6.23195436 56.4353965 31.0361893-0.75054012 6.39667939 62.8320759 31.4442514-1.11489425 6.57442072 69.4064966 31.8867796-1.48099999 6.76695215 76.1734487 31.3080859-1.85198751 7.00483385 83.1782826 31.6768774

f1 t desv3.15538592

2.8070334 5.14411414 5.14411414 29.6283112.45752267 5.23838602 10.3825002 30.98964712.10681499 5.33777534 15.7202755 29.7722231

1.75486921 5.44275484 21.1630303 29.68870831.40164169 5.55386008 26.7168904 29.37052291.04708598 5.67170046 32.3885909 30.31496780.69073951 5.80020681 38.1887977 29.94018770.33271087 5.93586652 44.1246642 30.4130682

-0.02680424 6.0787779 50.2034421 30.9210713-0.38786587 6.23195436 56.4353965 31.0007505-0.75054012 6.39667939 62.8320759 31.3567164-1.11489425 6.57442072 69.4064966 31.6706615-1.48099999 6.76695215 76.1734487 32.1679655-1.85198751 7.00483385 83.1782826 32.5484991

f1 t desv3.156316122.80816409 5.14260506 5.14260506 49.53919332.45878172 5.23733733 10.3799424 49.99972252.10812194 5.33727 15.7172124 48.90951521.75613412 5.4428917 21.1601041 49.29136471.40276363 5.55475755 26.7148616 49.41018151.04795133 5.67350114 32.3883628 49.8894090.69163302 5.79984943 38.1882122 50.27261320.33373879 5.93464117 44.1228534 50.7284812-0.0257876 6.07868467 50.201538 50.8182399

-0.38706257 6.23354324 56.4350813 50.943634-0.75016474 6.40018254 62.8352638 50.823792-1.11519636 6.58029918 69.415563 50.8539605-1.48227128 6.7757919 76.1913549 51.1624382-1.85151701 6.98895425 83.1803091 51.3646915

TANQUE CONO 60°

TUBO 1 h(m) t prom (s) t (s) CROSBY t (s)OCON TOJO ARMIJO0.293 0 0 0 00.273 9.505 5.36226269414594 9.75845254674526 11.72435490.253 18.765 10.8111835771975 19.6676104273161 23.64668160.233 27.805 16.3507264065561 29.7343996945721 35.77690610.213 36.36 21.9851605440185 39.9662864770802 48.1258030.193 45.965 27.7190946961402 50.3713373913558 60.70510120.173 55.8 33.5575155754455 60.9582888855664 73.5276050.153 65.305 39.5058323860979 71.736627177414 86.60733740.133 75.335 45.5699282400526 82.716680826485 99.95970770.113 85.675 51.7562198662144 93.9097284612098 113.601710.093 95.835 58.0717273026861 105.328124795212 127.5521620.073 106.12 64.5241556839375 116.985448861762 141.8319860.053 116.6 71.1219917825515 128.896679429809 156.4645560.033 127.51 77.8746186835159 141.078403926758 171.4761150.013 139.49 84.7924529205059 153.549069003789 186.896293

TUBO 3 h(m) t prom (s) CROSBY OCON ARMI0.293 0 0 0 00.273 3.915 2.12876093470541 4.4902323562073 2.791412930.253 7.745 4.27981687156471 9.15271954929029 5.628987460.233 11.355 6.45382195331677 14.0082042217846 8.51502070.213 15.315 8.65146232797004 19.0819677559223 11.45200520.193 18.845 10.8734583659794 24.4053604211746 14.44264120.173 22.77 13.1205670779248 30.0180677197521 17.48987280.153 26.475 15.3935847552347 35.9715989209234 20.59697030.133 30.965 17.6933498595524 42.3349157986189 23.7674912

0 20 40 60 80 100 120 140 160 180 2000

0.05

0.1

0.15

0.2

0.25

0.3

EXPCROSBYOCONARMIJO

0.113 34.975 20.0207461898785 49.2040666369165 26.99795510.093 39.405 22.3767063607364 56.7199836696127 30.30968520.073 43.875 24.7622156294061 65.1049342960293 33.69741540.053 48.235 27.1783161158832 74.749143568332 37.16661410.033 53.025 29.6261114658063 86.4720944558086 40.72340440.013 58.14 32.1067720143608 102.802917627449 44.3746809

0 20 40 60 80 100 120

-0.05

1.38777878078145E-17

0.05

0.1

0.15

0.2

0.25

0.3

EXPCROSBYOCON TOJOARMIJO

TUBO 2 h(m) t prom (s) CROSBY OCON ARMI0.293 0 0 0 00.273 3.6 2.16884447 2.61380918 4.766224660.253 7.31 4.37273909 5.26640522 9.611561680.233 10.475 6.61328706 7.95953156 14.5399530.213 14.175 8.89221519 10.6950653 19.55567630.193 17.62 11.2113875 13.4750321 24.66338660.173 21.345 13.572821 16.3016228 29.86816430.153 24.83 15.9787036 19.1772132 35.17557130.133 28.94 18.4314146 22.1043865 40.59171710.113 32.85 20.9335494 25.0977822 46.12333770.093 36.685 23.4879475 28.1250119 51.77788820.073 40.785 26.0977252 31.2249249 57.56365520.053 45.07 28.7663151 34.3894207 63.48989170.033 49.51 31.4975124 37.6226144 69.56698270.013 54.01 34.2955302 40.9290734 75.8066478

TUBO 4 h(m) t prom (s) CEROSBY OCON ARMI0.293 0 0 0 00.273 3.805 2.01099129 4.10548122 3.383964840.253 7.525 4.04836314 8.36797951 6.825596750.233 10.95 6.11308966 12.8064509 10.32779790.213 14.93 8.20620523 17.4440013 13.89371910.193 18.935 10.3288098 22.3092856 17.52677630.173 22.655 12.4820749 27.4385796 21.23069610.153 26.95 14.6672501 32.8789681 25.00961850.133 30.815 16.8856706 38.6934906 28.8680513

0 10 20 30 40 50 60 70 800

0.05

0.1

0.15

0.2

0.25

0.3

EXPCROSBYOCONARMIJO

0 10 20 30 40 50 60 70

-0.05

1.38777878078145E-17

0.05

0.1

0.15

0.2

0.25

0.3


0.113 35 19.1387656 44.9699457 32.80195080.093 39.005 21.4280674 51.8371572 36.83750740.073 42.875 23.7552225 59.4982858 40.96856250.053 47.21 26.1220039 68.3099892 45.20206020.033 51.69 28.530324 79.0212056 49.54578250.013 55.765 30.9822517 93.9431915 54.0085005

0 10 20 30 40 50 60 70 80 90 100-0.05

1.38777878078145E-17

0.05

0.1

0.15

0.2

0.25

0.3


TUBO 5 h(m) t prom (s) CROSBY OCON ARMI0.293 0 0 0 00.273 3.785 2.45600167 4.15604199 2.769028260.253 7.58 4.95169417 8.37452579 5.583573490.233 11.115 7.48889297 12.6582781 8.445895340.213 15.165 10.0695535 17.0103437 11.35844560.193 18.975 12.6957866 21.4340093 14.32389160.173 23.05 15.3698763 25.9328315 17.34514410.153 27.075 18.0943001 30.5106687 20.42538890.133 31.26 20.8717525 35.1717179 23.56812490.113 35.625 23.7051726 39.9205576 26.77720180.093 39.7 26.5977755 44.762198 30.05690330.073 44.12 29.5530904 49.7021396 33.41196210.053 48.585 32.5750044 54.7464433 36.84767280.033 53.625 35.667815 59.9018128 40.36997550.013 57.99 38.8362932 65.1756936 43.9855724

TUBO 6 h(m) t prom (s) CROSBY OCON ARMI0.293 0 0 0 00.273 3.115 1.40161154 2.4406541 3.082201850.253 5.455 2.82763497 4.91994996 6.220047610.233 8.075 4.27927644 7.43975523 9.41654010.213 10.88 5.75784282 10.0020922 12.67495840.193 13.755 7.2647537 12.6091563 15.99889460.173 16.565 8.80155545 15.2633375 19.39229670.153 19.25 10.3699375 17.9672457 22.85951970.133 22.225 11.9717513 20.723739 26.4053865

0 10 20 30 40 50 60 70

-0.05

1.38777878078145E-17

0.05

0.1

0.15

0.2

0.25

0.3


0.113 25.4 13.6090329 23.5359592 30.04786590.093 27.805 15.2840295 26.407372 33.7731340.073 30.96 16.9992312 29.3418155 37.59647820.053 34.285 18.7574086 32.3435591 41.5257760.033 37.49 20.5616597 35.417374 45.57000770.013 40.71 22.4154652 38.5686195 49.7394835

0 10 20 30 40 50 60

-0.05

1.38777878078145E-17

0.05

0.1

0.15

0.2

0.25

0.3


TANQUE BASE PLANA

TUBO 1 h(m) t prom (s) CROSBY OCON ARMI TUBO 20.4 0 0 0 0

0.38 9.405 5.62533936 10.2855558 11.8999950.36 18.03 11.3480616 20.7411442 23.99202690.34 26.875 17.1729482 31.3751506 36.28528990.32 36.2 23.1051773 42.1966638 48.7897264

0.3 45.85 29.1503706 53.2155606 61.51611550.28 56.01 35.3146486 64.4426044 74.47617370.26 65.635 41.6046938 75.8895598 87.68338180.24 75.57 48.0278249 87.569327 101.1566780.22 85.545 54.5920849 99.4961001 114.905952

0.2 96.015 61.3063438 111.685555 128.9480860.18 106.885 68.1804221 124.155074 143.3017330.16 117.2 75.2252385 136.924014 157.987580.14 128.19 82.4529883 150.014034 173.0286810.12 140.06 89.87736 163.449495 188.476394

TUBO 3 h(m) t prom (s) CROSBY OCON ARMI TUBO 40.4 0 0 0 0

0.38 3.74 2.20298747 3.89406529 3.141234260.36 7.345 4.43008589 7.89607686 7.799212410.34 10.985 6.68203515 12.0151271 9.589696450.32 14.765 8.95961303 16.2616575 12.9028439

0.3 18.86 11.263638 20.2344885 16.27966940.28 22.945 13.5949721 25.1875568 19.72386820.26 26.935 15.9545243 29.8977379 23.2395046

0 20 40 60 80 100 120 140 160 180 2000

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


0 10 20 30 40 50 60 70 80 900

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


0.24 30.94 18.3432545 34.7982427 26.83106510.22 35.475 20.7621767 39.9132386 30.5035193

0.2 39.525 23.2123641 45.2724964 34.26240930.18 44.26 25.694954 50.9134045 38.11392290.16 48.825 28.2111527 56.8840252 42.06502120.14 53.4 30.7622418 63.247939 46.12357570.12 58.18 33.349585 70.092352 50.298543

0 10 20 30 40 50 60 70 800

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


0 10 20 30 40 50 60 700

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


h(m) t prom (s) CROSBY OCON ARMI TUBO 5 h(m)0.4 0 0 0 0 0.4

0.38 3.67 2.27524962 2.75773115 4.87176925 0.380.36 7.245 4.58988715 5.5592761 9.82085712 0.360.34 10.805 6.94584654 8.40674828 14.8509431 0.340.32 14.235 9.34522211 11.3024354 19.9660053 0.32

0.3 17.865 11.7902877 14.2488204 25.1703552 0.30.28 21.91 14.2835188 17.2486051 30.4686778 0.280.26 25.55 16.8276183 20.3047386 35.8660784 0.260.24 29.52 19.4255463 23.4204495 41.3681369 0.240.22 33.235 22.0805559 26.5992846 46.9809717 0.22

0.2 37.27 24.7962347 29.8451547 52.7113145 0.20.18 41.45 27.5765548 33.1623881 58.5665997 0.180.16 45.415 30.4259324 36.5557963 64.5550701 0.160.14 49.455 33.3493 40.0307522 70.6885729 0.140.12 53.57 36.3521942 43.5932861 76.9759439 0.12

h(m) t prom (s) CROSBY OCON ARMI TUBO 6 h(m)0.4 0 0 0 0 0.4

0.38 3.64 1.92944987 3.56472362 3.67034494 0.380.36 7.7 3.88565413 7.2278775 7.4060987 0.360.34 11.59 5.86965845 10.9977903 11.2107063 0.340.32 15.435 7.88257707 14.884029 15.0879223 0.32

0.3 19.45 9.92559924 18.8976733 19.0418508 0.30.28 23.48 11.9999964 23.0516736 23.076993 0.280.26 27.135 14.1071303 27.361326 27.1983023 0.26

0 10 20 30 40 50 60 70 80 900

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


0 10 20 30 40 50 60 70 800

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


0.24 31.25 16.2484622 31.8449152 31.4112502 0.240.22 35.435 18.4255631 36.5246038 35.7219018 0.22

0.2 39.78 20.6401258 41.4276944 40.1370256 0.20.18 43.635 22.8939782 46.5884767 44.664184 0.180.16 47.64 25.1890989 52.0510282 49.3118919 0.160.14 52.11 27.527635 57.8736537 54.089785 0.140.12 56.28 29.9119226 64.136312 59.008837 0.12

0 10 20 30 40 50 60 700

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


0 10 20 30 40 50 60 700

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


t prom (s) CROSBY OCON ARMI0 0 0 0

3.81 2.57649497 4.38408995 2.762470647.625 5.19759287 8.83869494 5.57688467

11.315 7.86548366 13.3672405 8.4369354914.83 10.582539 17.9734363 11.344856719.28 13.3513338 22.6613101 14.3030689

23.295 16.1746712 27.435247 17.314201627.36 19.055612 32.3000352 20.3811201

31.355 21.9975083 37.26092 23.506955235.35 25.0040439 42.3236662 26.695139339.85 28.0792813 47.4946337 29.949448144.02 31.2277186 52.7808657 33.2740505

48.475 34.4543567 58.1901961 36.673567953.115 37.7647811 63.7313789 40.1531454

57.76 41.1652615 69.4142457 43.7185384


2.665 1.358736 3.26494492 2.821373535.48 2.74296334 6.61897265 5.690854848.23 4.15404204 10.0696498 8.61093545

10.84 5.59345502 13.7383779 11.584328413.8 7.06282414 17.297118 14.6066526

16.765 8.56392891 21.0957709 17.697631519.57 10.0987287 25.0355589 20.8515874

0 10 20 30 40 50 60 70 800

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


22.405 11.6693889 29.1331399 24.072431425.345 13.2783124 33.4087163 27.3645658

28.16 14.9281774 37.8871894 30.732666631.075 16.6219832 42.5998492 34.1821627

34.23 18.3631064 47.5869362 37.719080937.325 20.1553701 52.901702 41.3502212

40.01 22.0031303 58.6172002 45.0833013

0 10 20 30 40 50 60 700

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4


TANQUE CONICO 45°

TUBO 1 h(m) t prom (s) CROSBY OCON ARMI TUBO 20.338 0 0 0 00.318 9.665 5.528205 8.50745006 11.81844170.298 18.825 11.1490245 17.1143034 23.83665240.278 28.275 16.8668548 25.8239923 36.06465170.258 37.135 22.686444 34.6401484 48.51331630.238 46.365 28.6129333 43.5666196 61.19448610.218 55.76 34.6519027 52.607488 74.12108720.198 66.165 40.8094253 61.7670907 87.3072760.178 75.93 47.0921302 71.0500418 100.7686090.158 86.09 53.5072753 80.4612585 114.5222420.138 96.355 60.0628337 90.0059888 128.5871740.118 106.735 66.7675953 99.6898435 142.9845270.098 117.705 73.631288 109.518832 157.7379010.078 128.675 80.6647229 119.499404 172.8737910.058 140.63 87.879969 129.638491 188.422114

TUBO 3 h(m) t prom (s) CROSBY OCON ARMI TUBO 40.338 0 0 0 00.318 3.96 2.18970199 4.17687823 4.779894550.298 7.445 4.40283103 8.49079117 9.651619550.278 10.93 6.64008959 12.9556993 14.62024840.258 14.87 8.90221523 17.5881126 19.69132860.238 18.935 11.1899832 22.4077964 24.87094520.218 22.795 13.5042089 27.4387505 30.16579540.198 26.415 15.8457514 32.7106038 35.58630150.178 30.73 18.2155161 38.2606624 41.1396679

0 20 40 60 80 100 120 140 160 180 2000

0.05

0.1

0.15

0.2

0.25

0.3

0.35


0 10 20 30 40 50 60 70 80 900

0.05

0.1

0.15

0.2

0.25

0.3

0.35


0.158 34.755 20.6144587 44.1370305 46.83325360.138 38.92 23.0435888 50.4035816 52.67731370.118 43.075 25.5039747 57.1483338 58.68339960.098 47.275 27.996748 64.4985982 64.86455080.078 52.325 30.5231088 72.6511182 71.23560530.058 56.83 33.0843317 81.9406762 77.8403912

0 10 20 30 40 50 60 70 80 900

0.05

0.1

0.15

0.2

0.25

0.3

0.35


0 10 20 30 40 50 60 70 800

0.05

0.1

0.15

0.2

0.25

0.3

0.35


h(m) t prom (s) CROSBY OCON ARMI TUBO 5 h(m)0.338 0 0 0 0 0.3380.318 4.125 2.23596223 3.88096273 4.79438852 0.3180.298 7.325 4.50938373 7.88810664 9.6684347 0.2980.278 10.55 6.82204261 12.034339 14.626109 0.2780.258 14.15 9.17585941 16.3349283 19.6717204 0.2580.238 17.57 11.5729134 20.8081585 24.8099579 0.2380.218 21.195 14.0154617 25.4762359 30.0459388 0.2180.198 24.975 16.5059605 30.3665817 35.385266 0.1980.178 28.83 19.0470911 35.51373 40.834094 0.1780.158 32.595 21.641789 40.9622191 46.3992082 0.1580.138 36.645 24.2932791 46.7711992 52.0881191 0.1380.118 40.6 27.0051166 53.022193 57.9091745 0.1180.098 44.85 29.7812362 59.8331344 63.8716968 0.0980.078 48.77 32.6260103 67.3863005 69.9861482 0.0780.058 53.245 35.5443206 75.9918957 76.2643363 0.058

h(m) t prom (s) CROSBY OCON ARMI TUBO 6 h(m)0.338 0 0 0 0 0.3380.318 3.62 1.91148702 3.81480241 3.68094536 0.3180.298 7.165 3.8487293 7.75425222 7.43045617 0.2980.278 11.04 5.81270427 11.8310769 11.2522776 0.2780.258 14.88 7.80445159 16.0603302 15.1505021 0.2580.238 18.87 9.82507872 20.4600354 19.129616 0.2380.218 22.57 11.8757673 25.0520797 23.1945536 0.2180.198 26.755 13.9577802 29.8634857 27.3530808 0.1980.178 30.705 16.0724696 34.9282806 31.6104624 0.178

0 10 20 30 40 50 60 70 80 900

0.05

0.1

0.15

0.2

0.25

0.3

0.35


0 10 20 30 40 50 60 700

0.05

0.1

0.15

0.2

0.25

0.3

0.35

EXPCROSBY OCON TOJO ARMIJO

0.158 34.68 18.2212856 40.2903433 35.9720497 0.1580.138 38.94 20.405787 46.0079404 40.4453757 0.1380.118 43.13 22.6276525 52.1613667 45.0389189 0.1180.098 47.425 24.888694 58.8667666 49.7622405 0.0980.078 51.67 27.1908718 66.3036318 54.6262104 0.0780.058 56.105 29.5363119 74.7773961 59.6637215 0.058

0 10 20 30 40 50 60 70 800

0.05

0.1

0.15

0.2

0.25

0.3

0.35


0 5 10 15 20 25 30 35 40 45 500

0.05

0.1

0.15

0.2

0.25

0.3

0.35



4.095 2.53200589 3.62484237 2.782144327.81 5.1064307 7.29089653 5.61006141

11.405 7.72528797 10.9995643 8.486024415.365 10.3907525 14.7523283 11.412499719.165 13.1051789 18.5507582 14.3921707

23.29 15.871123 22.3965182 17.427965527.435 18.6913664 26.2913753 20.523089331.605 21.5689452 30.2372083 23.681062

35.81 24.5071838 34.2360177 26.905763840.045 27.5097339 38.2899371 30.201488244.355 30.5806215 42.4012461 33.573006648.545 33.724302 46.5723841 37.025645653.665 36.9457271 50.8059669 40.5653823

58.16 40.2504247 55.1048047 44.1989598


2.595 1.33878891 2.10977809 2.762793475.19 2.70174269 4.24437144 5.574980118.03 4.09010012 6.40328162 8.43924045

10.73 5.50520736 8.58968927 11.358505113.515 6.94853142 10.7966959 14.3359884

16.23 8.42167575 13.0463555 17.375228818.99 9.9263985 15.3187956 20.480135721.74 11.4646341 17.6222158 23.6550466

0 10 20 30 40 50 60 700

0.05

0.1

0.15

0.2

0.25

0.3

0.35

EXPCROSBY OCON TOJO ARMIJO

24.69 13.0385188 19.9578988 26.904707327.685 14.6504211 22.3272182 30.2346707

30.9 16.3029785 24.7316469 33.650971934.115 17.9991417 27.1727685 37.1605117

37.21 19.7422292 29.652288 40.771156140.455 21.5359936 32.1720466 44.4919354

0 5 10 15 20 25 30 35 40 45 500

0.05

0.1

0.15

0.2

0.25

0.3

0.35


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