TABLAS TODASTABLAS DE FLUJO COMPRESIBLEIngrese el nmero de Mach MFLUJO ISENTRPICOONDA DE CHOQUE NORMALFLUJO FANNOTabla A.1Funciones para flujo isentrpico unidimensional para un gas perfectoChoque normal unidimensional de un gas perfecto[ Calor especfico y peso molecular constantes ]( Calor especfico y peso molecular constantes )k =1.67k =1.26MM*MxMy00111000.010.011554026556.23450603280.99986014960.99995000210.999966501143.280734091456.22981072620.012921985477.39394976360.02181912841.001.000001.000001.000001.000001.00000001.808116100111000001.010.990121.022411.017751.004580.99999871.82846610.260.29706488532.26140641030.91074495120.96712941190.97785548471.83166641362.13864098790.32133165633.27535799410.52850356331.020.980481.045051.035591.009140.99998991.849188700111000001.030.971071.067911.053521.013660.99996641.87027691.040.961881.090991.071541.018150.99992171.891724200111000004.321.85352460916.74486028250.00025563050.05196886290.13789482041.19651863670.04833526740.10773558492.13959640940.02019372291.050.952901.114291.089651.022610.99984971.913524500111000001.060.944121.137821.107851.027050.99974471.935672000111000001.070.935551.161571.126131.031470.99960161.95816143.21.75658488723.4110304270.00200032580.10843258050.22571325391.16293567580.0834838460.21303283072.07954387010.06753290691.080.927171.185541.144491.035870.99941541.98098761.090.918971.209741.162931.040250.99918162.0041461001110000000111000001.100.910961.234161.181461.044610.99889612.027632200111000001.110.903121.258801.200061.048950.99855512.051442000111000001.120.895441.283671.218731.053280.99815502.075571300111000001.130.887931.308761.237481.057600.99769252.10001671.140.880581.334071.256301.090270.99716472.124774500111000000011100000001110000000111000000011100000ONDA DE CHOQUE NORMAL

ISENTRPICOTabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*00111000.010.010954341657.8738426620.99993000310.99995000170.999980000445.649480062757.86979167530.011831449784.52641237250.01727896320.020.02190802628.94213018520.99972005040.9998000280.999920006422.833640095128.93402784720.023658640642.27968590190.03455170690.030.032860396119.30054199860.99937025510.99955014170.999820032415.232314929119.288387580.035477317528.20476665490.05181201650.040.043810795414.48148592640.99888080590.99920044780.999680102411.434617608214.46527833320.047283231821.17279762980.06905368720.050.054758567811.591440.99825196690.99875109290.99950024999.158370467811.57118164020.059072145316.95800692050.08627052950.060.06570305819.665910.9974840770.99820226560.9992805187.64284739229.641591380.070839833214.15180347030.10345637330.070.07664361198.291530.99657754960.99755419560.99902095956.56202270888.26314781630.082582087612.15050503790.12060507350.080.08757957627.261610.99553287220.99680715430.99872163635.75288341147.22917110640.094294721110.65227018790.13771051450.090.09851029936.461340.99435060590.99596145390.99838262025.12486656866.42483913850.10597356979.48940895560.15476661510.10.1094351315.821830.99303138490.99501744760.9980039924.62363428615.78125866610.11761449648.56130711220.17176733340.110.1203534235.299230.99157591530.99397552910.99758584234.21460778215.25458855080.1292133947.80393719470.18870667150.120.13126452884.864320.98998497510.99283613190.99712827063.87473442364.81560138380.14076618887.17461402130.20557867980.130.1421678044.496860.98825941270.99159972950.99663138593.58805459294.4440628210.15226884376.64378612230.22237746240.140.15306260684.182400.98640014620.99026683480.99609530643.34316846834.12551977360.16371736076.19034512980.23909718060.150.16394829763.91034275130.98440816270.98883799940.99552015933.1317160933.84937332320.17510778465.79881141130.25573205820.160.17482423983.67273863360.98228451660.98731381340.99490608092.9474274173.60767429340.1864362065.45757509060.27227638550.170.18568979923.46350904920.98003032920.98569490450.99425321642.785507623.39434391380.19769876355.15775788540.28872452350.180.19654434533.27792645090.9776467870.98398193810.99356172012.64222732543.20465426260.20889164744.8924543320.30507090840.190.20738725043.11225865490.97513514040.98217561610.99283175472.51464222073.03487278040.2200111024.65621262330.32131005510.20.21821789022.9635200.9724967030.98027667660.99206349212.40039679262.88201342910.23105342854.4446711960.33743656190.210.22903564432.82929360490.96973284930.9782858930.99125711232.29758413672.74365894890.24201498754.25429914940.35344511380.220.23983989592.70760209970.96684501410.97620407380.99041280412.20464400172.61783159020.25289220174.08220745920.36933048620.230.2506300322.5968120810.96383469040.97403206140.98953076452.12028743032.50289756810.26368155843.92600944050.38508754920.240.26140544382.49556245180.96070342820.97177073170.9886111992.04344024052.39749540270.27437961163.78371609460.40071127020.250.2721655272.4027100.95745283270.96942099310.9876543211.97320007062.30048145830.28498298483.65365657240.4161967180.260.28290968132.31728730980.95408456290.96698378620.9866603521.90880333772.21088805010.29548837283.53441699310.43153906540.270.29363731122.23847056880.95060032950.96446008230.98562952161.84959953832.12789086030.30589254373.42479285810.4467335930.280.30434782612.16555357620.94700189360.96185088330.98456206681.79503105592.05078333740.31619234173.32375166250.46177569140.290.315040642.09792763370.94329106460.95915722030.98345823251.74461714681.9789563910.32638468813.23040324180.47666086470.30.3257151722.03506526230.93946969850.95638015310.98231827111.69794112821.91188214840.33646658373.14397604940.49138473270.310.33637084661.97650710350.93553969620.95352076910.98114244231.65464004641.84910085510.34643511033.06379802570.50594303360.320.34700709341.92185127520.93150300130.95058018280.97993101291.61439628211.79021023090.35628743242.9892810540.52033162650.330.35762334751.87074466360.92736159860.94755953420.97868425691.57693068211.73485676180.36602079892.91990824290.53454649340.340.36821904971.82287575170.92311751180.94445998870.97740245521.54199690291.68272852830.37563254422.8552234530.54858374140.350.37879364651.77796867750.91877280180.94128273550.97608589561.50937672421.63354926340.38512008962.79482261870.56243960460.360.38934659021.73577828170.91432956470.9380289870.97473487211.47887614311.58707340060.39448094472.73834651670.5761104460.370.39987733911.69608595940.90978992950.93469997770.97334968561.45032210241.54308192540.40371270842.6854747070.58959275880.380.41038535771.65869616640.90515605660.93129696350.9719306431.42355973461.50137888110.41281306982.63592043110.60288316830.390.42087011661.62343346270.90043013560.92782122030.97047805751.39845003081.46178841290.42177980942.58942629410.61597843280.3790.40933559391.66233667740.90562362240.93164055890.97207406191.42615942261.50545136350.41190901082.64073411790.6015628564Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*0.400.43133109281.590140.8956143830.92427404330.96899224811.37486785831.42415225510.43061079932.54576059560.62887544490.410.44176776981.55867337690.89071104080.9206567460.96747353961.35270026951.38832758580.43930400462.50471419690.64157123290.420.45217963751.52890479970.88572237380.91697065910.96592226261.33184505091.35418518850.44785748372.46609783580.65406296070.430.46256619261.50071750120.8806506680.91321712970.96433875291.31220947621.32160786990.45626938842.42973981640.66634792970.440.47292693841.47400537370.87549822850.90939751990.96272335181.29370922831.29048909350.46453796482.39548401360.67842357830.450.48326138531.44867178510.87026737760.90551320640.96107640561.27626746521.26073179550.47266155342.36318814390.69028748280.460.49356905041.42462854970.86496045250.90156557890.95939826541.25981400821.2322473550.48063858932.33272226160.70193735780.470.50384945791.40179502920.85957980380.89755603950.95768928731.24428463351.20495469620.4884676022.30396744710.71337105580.480.51410213921.38009734750.85412779290.89348600160.95594983181.2296204521.17877950150.49614721572.27681465920.72458656760.490.52432663251.35946770070.84860679080.88935688890.95418026371.21576736571.15365352260.50367614922.25116372760.73558202190.500.53452248381.339843750.84301917540.88517013420.95238095241.20267558861.12951397330.51105321532.22692246690.74635568510.510.54468924611.32116808680.83736733030.88092717880.95055227091.19029922491.10630299370.51827732082.20400589430.75690596070.520.55482647971.30338775830.83165364240.87662947140.94869459621.17859589481.08396717670.52534746632.18233553780.76723138890.530.56493375261.28645384790.82588050040.87227846690.94680830921.16752640351.06245714770.5322627452.16183882280.77733064550.540.57501064021.27032110180.82005029270.86787562570.94489379391.15705444671.04172719130.53902234282.14244852660.78720254160.550.58505672551.25494759590.81416540560.86342241270.9429514381.1471463481.02173491850.54562553742.12410229280.79684602230.560.59507159891.24029443930.80822822210.85892029620.9409816321.13777082491.00244096960.55207169742.10674219720.80626016560.570.60505485871.22632550840.80224111930.85437074730.93898476971.12889877870.98380874860.55836028172.09031435990.81544418110.580.61500611081.21300720860.79620646740.84977523850.93696124731.12050310730.96580418450.56449083862.07476859720.82439740910.590.62492496891.20030826020.79012662760.84513524340.93491146391.11255853580.94839551780.57046300442.06005810930.83311931870.600.63481105431.18819950620.78400395090.84045223530.93283582091.10504146480.93155310730.57627650312.04613919850.84160950650.610.64466399631.1766537380.7778407760.83572768660.9307347221.09792983340.91524925670.58193114442.03297101590.84986769490.620.65448343181.16564553940.77163942840.83096306760.92860857291.09120299540.89945805770.58742682342.02051533220.85789373030.630.66426900581.15515114380.76540221830.82615984640.92645778131.08484160740.8841552480.59276351852.00873633050.86568758150.640.6740203711.14514830640.75913143960.82131948710.92428275661.07882752740.86931808240.59794129071.99760041810.87324933760.650.68373718791.13561618690.75282936820.81644344980.92208390961.07314372250.85492521650.60296028211.98707605650.88057920580.660.69341912521.12653524380.74649826090.81153318940.91986165281.06777418550.84095660030.60782071421.97713360590.88767750990.670.7030658591.11788713750.74014035380.80659015470.91761639961.06270385830.82739338140.61252288661.96774518430.89454468750.680.71267707391.10965464240.73375786120.80161578820.91534856471.05791856290.81421781710.61706717581.95888453890.90118128810.690.72225246181.10182156680.72735297460.79661152480.91305856361.05340493740.80141319410.6214540331.95052692850.90758797080.700.73179172291.09437267860.7209278610.79157879140.91074681241.04915037820.78896375430.6256839831.94264901570.9137655020.710.74129456511.08729363870.71448466230.78651900590.90841372791.04514298710.77685462820.6297576221.93522876920.91971475270.720.75076070441.08057093920.70802549380.7814335770.90605972751.04137152230.76507177290.63367561681.92824537340.92543669620.730.76018986431.07419184660.70155244370.77632390320.90368522841.03782535380.75360191510.6374387021.92167914520.93093240570.740.76958177651.06814434990.69506757160.77119137210.90129064821.03449442240.74243249940.6410476791.91551145870.93620305170.750.77893618031.06241711280.68857290780.766037360.89887640451.03136920170.73155164060.64450341411.90972467450.94124989890.760.7882528231.05699942940.68207045250.76086323120.89644291451.02844066380.72094807910.64780683641.90430207590.94607430450.770.79753145941.0518811840.67556217480.75567033750.89399059521.02570024630.71061114040.6509589361.89922780880.95067771450.780.80677185231.04705281340.66905001220.75046001770.89151986311.02313982380.70053069760.65396076261.89448682760.95506166180.790.81597377211.04250527190.66253586950.74523359670.88903113391.02075167960.69069713680.65681342321.89006484370.9592277631Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*0.800.8251369971.038230.65602161840.73999238550.88652482271.01852848070.68110132480.65951808021.88594827920.96317771590.810.83426131271.0342188940.64950909670.73473768040.88400134371.01646325440.67173457970.66207594971.88212422320.96691329640.820.84334651261.03046427890.64300010810.72947076270.88146110991.01454936660.66258864270.66448829951.87858039150.97043635620.830.85239239771.02695888290.6364964210.72419289790.87890453341.01278050130.65365565350.66675644741.87530508950.97374881960.840.86139877641.02369581370.62999976860.7189053360.87633202471.01115064230.64492812570.66888175891.8722871770.97685268090.850.87036546461.02066853630.62351184810.71360931020.8737439931.00965405540.63639892540.67086564541.86951603660.97975000150.860.87929228571.01787085290.61703432060.70830603730.87114084611.00828527240.62806125020.67270956271.86698154310.98244290730.870.88817907041.01529688350.61056881030.70299671690.86852298981.00703907620.61990861030.67441500851.8646740360.98493358570.880.89702565691.01294104840.60411690490.69768253110.86589082851.00591048610.6119348110.67598352091.86258429320.98722428270.890.90583189031.01079805160.59768015440.69236464450.86324476441.00489474540.60413393560.67741667611.86070350680.98931730070.900.91459762321.00886286520.59126007180.68704420350.86058519791.00398730860.59650033020.67871608721.85902326050.99121499510.910.92332271531.00713071530.58485813230.68172233620.85791252721.00318383050.58902858910.67988340141.8575355080.99291977180.920.93200703321.00559706820.57847577330.67640015220.85522714831.00248015490.58171354170.6809202991.8562325540.99443408460.930.94065045081.00425761810.57211439450.67107874240.85252945491.00187230490.57455023910.6818284911.85510703470.99576043230.940.94925284871.00310827510.56577535740.66575917860.84981983821.00135647390.56753394290.68260971761.85415190110.99690135630.950.95781411451.00214515420.55945998590.66044251330.8470986871.00092901580.56066011380.6832657461.85336040260.99785943760.960.96633414261.0013645650.55316956570.655129780.84436638751.00058643790.55392440150.68379836911.85272607160.99863729450.970.97481283411.00076300190.54690534460.64982199230.84162332311.00032539240.54732263440.68420940331.85224270910.99923757980.980.98325009691.00033713520.54066853270.64452014440.83886987451.00014266930.54085081110.68450068711.85190437180.99966297840.990.99164584521.00008380240.53446030210.63922521060.83610641961.00003518990.53450509120.68467407911.85170535860.99991620461.00110.52828178770.63393814530.833333333310.52828178770.68473145641.851640199511.011.00831248871.00008287630.52213408660.6286598830.83055098751.00003426390.52217735920.6846747131.8517036440.99991713051.021.0165832451.00032972410.51601825890.62339133820.8277597511.0001352590.51618840250.68450575831.85189065050.99967038461.031.02481220881.0007379740.50993532750.61813340530.82495998941.000300370.51031164650.6842265151.85219637670.99926257021.041.03299932651.00130518790.50388627870.61288695850.82215206521.00052708430.5045439450.68383891811.85261617010.99869651341.051.04114455031.00202905380.49787206230.6076528520.81933633761.0008129870.49888227150.68334491281.8531455590.9979750551.061.04924783861.00290737910.49189359190.60243191980.81651316221.00115575630.4933237130.68274645361.85378024440.99710104931.071.05730915581.00393808630.48595174520.59722497580.81368289151.00155315940.48786546510.68204550231.8545160920.99607736141.081.06532847211.00511920750.48004736450.59203281370.81084587441.00200304850.48250482660.68124402691.85534912470.99490686531.091.07330576351.00644887980.4741812570.58685620730.80800245631.0025033570.4772391950.68034399971.8562755160.99359244181.101.08124101181.00792534090.4683541950.58169591020.80515297911.00305209570.47206606170.67934739671.85729158260.99213697621.111.08913420431.00954692490.46256691670.57655265630.80229778081.00364734960.46698300830.67825619541.85839377870.9905433571.121.09698533391.01131205810.45682012610.57142715940.79943719621.00428727470.46198770190.67707237441.85957868980.98881447331.131.10479439891.01321925560.45111449410.56632011360.7965715561.00497009490.45707789190.67579791111.86084302710.98695321321.141.11256140311.01526711750.44545065830.56123219330.79370118741.0056940990.45225140580.67443478131.86218362210.98496246231.151.12028635551.01745432570.43982922390.55616405360.79082641361.00645763790.44750614640.67298495771.86359742150.98284510141.161.12796927031.01977964050.43425076410.55111632980.78794755421.00725912250.44284008810.67145040871.86508148250.98060400531.171.13561016671.02224189760.42871582070.54608963810.78506492491.00809702040.4382512740.66983309721.8666329680.97824204071.181.14320906911.02484000530.42322490410.54108457540.78217883741.00896985430.4337378130.66813497991.86824914230.97576206511.191.15076600681.0275729420.41777849460.53610171980.77928959961.00987619930.42929787680.66635800581.86992736710.9731669248Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*1.201.15828101381.03043975310.41237704230.53114163050.77639751551.0108146810.42492969770.66450411521.87166509760.97045945381.211.16575412891.0334395490.4070209680.52620484790.77350288521.01178397340.42063156560.66257523921.87345987840.96764247211.221.17318539571.03657150260.40171066370.5212918940.77060600461.01278279690.41640182620.66057329831.87530934010.96471878451.231.18057486221.0398348470.39644649280.51640327260.76770716581.01380991660.41223887810.65850020161.87721119630.96169117911.241.18792258111.04322887350.39122879130.51153946920.76480665691.01486414060.40814117120.65635784611.87916323980.95856242611.251.19522860931.04675292970.38605786780.50670095150.76190476191.01594431790.40410720410.65414811551.88116333960.9553352771.261.20249300821.05040641730.38093400440.50188816950.75900176091.01704933750.40013552280.65187287991.88320943830.95201246251.271.20971584321.05418879070.37585745730.49710155580.75609792981.01817812630.39622471840.64953399471.8852995490.94859669241.281.2168971841.05809955480.37082845690.49234152570.75319354061.0193296480.39237342520.64713329981.88743175280.94509065381.291.22403710431.06213826380.36584720910.48760847730.75028886121.02050290140.38858031950.64467261911.8896041960.94149701041.301.23113568191.06630451920.36091389540.48290279210.74738415551.02169691950.38484411770.642153761.89181508780.93781840171.311.23819299831.0705979690.35602867350.47822483490.74447968311.02291076780.38116357480.63957851241.89406269810.93405744171.321.24520913891.07501830530.35119167830.47357495430.74157571.02414354340.37753748280.63694864821.89634535510.93021671831.331.25218419291.07956526390.34640302170.46895348270.73867245791.02539437390.37396466950.6342659211.89866144310.92629879221.341.25911825281.08423862240.34166279420.46436073680.73577020421.02666241590.37044399730.63153206521.90100940060.92230619661.351.2660114151.08903819920.33697106460.45979701760.73286918291.02794685420.36697436140.62874879581.90338771830.91824143611.361.27286377921.09396385240.3323278810.45526261080.72996963331.02924690110.3635546890.62591780791.90579493720.91410698611.371.27967544851.09901547850.32773327150.4507577870.72707179111.03056179460.36018393820.62304077581.90822964710.90990529211.381.28644652941.10419301140.32318724440.4462828020.72417588781.03189079850.35686109660.62011935351.91069048410.90563876941.391.29317713141.10949642140.31868978880.44183789710.72128215121.03323320070.35358518030.61715517341.913176130.90130980211.401.29986736721.11492571430.31424087580.43742329920.71839080461.03458831270.35035523290.61414984661.91568530980.8969207431.411.30651735281.12048093030.30984045820.43303922120.71550206781.03595546870.34717032480.61110496211.91821679080.89247391271.421.31312720691.12616214320.30548847150.42868586230.71261615641.03733402490.34402955180.60802208681.92076938090.88797159981.431.31969705111.13196945980.30118483460.42436340830.70973328221.03872335870.34093203450.60490276521.92334192710.88341605981.441.32622700991.13790301840.29692944990.42007203140.7068536531.04012286780.33787691730.60174851921.92593331450.87880951521.451.33271721071.1439629890.29272220420.41581189110.70397747271.04153196990.33486336770.59856084771.92854246470.8741541551.461.33916778321.15014957150.28856296920.41158313430.70110494141.04295010180.33189057540.59534122631.93116833460.86945213451.471.34557886011.15646299610.28445160190.40738589520.69823625521.04437671850.32895775170.59209110771.93380991540.8647055751.481.35195057621.16290352160.2803879450.40322029590.69537160661.04581129310.32606412860.58881192091.93646623140.85991656361.491.3582830691.16947143530.27637182780.39908644680.69251118411.04725331580.32320895810.58550507151.93913633860.85508715291.501.36457647841.17616705250.27240306650.39498444640.68965517241.04870229360.32039151180.58217194141.94181932420.85021936121.511.37083094651.18299071540.26848146450.3909143820.68680375271.05015774970.31761107980.57881388881.94451430510.84531517191.521.37704661751.18994279310.26460681340.38687632970.68395710221.05161922260.31486697060.5754322481.94722042720.84037653391.531.38322363791.19702368060.26077889280.38287035480.68111539461.05308626630.31215851010.57202832951.94993686420.8354053611.541.38936215641.20423379850.25699747140.37889651210.67827879971.05455844910.30948504120.56860342011.9526628170.83040353231.551.39546232351.21157359250.25326230720.37495484580.6754474841.05603535350.30684592340.56515878241.95539751280.82537289211.561.40152429161.21904353290.24957314780.37104539040.672621611.0575165760.30424053190.56169565561.95814020370.82031524961.571.40754821531.22664411410.24592973130.36716817020.66980133691.05900172580.30166825730.55821525451.9608901670.81523237951.581.41353425071.23437585430.24233178610.36332320020.66698682031.06049042550.29912850540.55471877061.96364670310.81012602161.591.41948255581.24223929480.23877903190.35951048610.66417821231.06198230960.29662069630.55120737141.96640913570.804997881Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*1.61.42539329021.2502350.23527118010.35573002440.66137566141.06347702510.29414426390.54768220081.9691768110.79984962831.611.43126661521.25836355660.23180793380.35198180280.65857931271.06497423030.2916986560.54414437921.97194909630.79468289971.621.43710269361.26662557370.22838898830.34826580050.6557893081.0664735950.28928333340.54059500351.97472538020.7894992971.631.44290168971.27502168180.22501403210.34458198850.65300578561.06797479970.28689776960.53703514711.97750507130.78430038821.641.44866376931.28355253320.22168274640.34093032940.65022888061.06947753580.28454145070.53346586031.98028759790.77908770711.651.45438909961.29221880130.21839480610.33731077810.64745872451.07098150480.28221387460.52988817041.98307240730.77386275381.661.46007784891.301021180.215149880.33372328190.64469544591.07248641820.27991455080.52630308171.98585896530.7686269951.671.46573018691.30996038410.21194763110.33016778080.64193916981.07399199690.27764300030.52271157561.98864675550.76338186421.681.47134628471.31903714840.2087877170.32664420750.63919001841.07549797160.27539875480.51911461111.99143527880.75812876171.691.47692631421.32825222790.20566979010.32315248770.63644811041.07700408170.2731813570.51551312471.99422405280.75286905531.71.48247044871.33760639710.20259349840.31969254050.63371356151.07851007550.27099035950.51190803061.99701261150.74760408011.711.48797886221.347100450.19955848520.31626427850.63098648431.08001570990.26882532520.5083002211.99980050460.74233513921.721.493451731.35673519990.19656438980.3128676080.62826698831.08152074990.26668582670.50469056632.00258729710.73706350371.731.49888922831.3665114790.19361084790.30950242920.62555518021.08302496860.26457144610.50107991552.00537256890.73179041331.741.50429153391.37643013850.19069749150.30616863650.62285116351.08452814680.26248177460.49746909582.00815591410.72651707631.751.50965882481.3864920480.18782394950.30286611850.62015503881.0860300730.26041641240.49385891352.0109369410.72124467031.761.51499127961.39669809540.18498984790.29959475850.61746690381.08753054280.25837496820.4902501542.01371527130.71597434211.771.52028907761.4070491870.18219481020.29635443430.61478685341.08902935910.25635705950.4866435822.01649053970.71070720861.781.52555239891.41754624690.17943845730.2931450190.61211497971.09052633140.25436231180.48303994162.01926239390.70544435651.791.53078142421.42819021720.17672040840.28996638050.60945137191.09202127610.25239035840.4794399572.02203049370.70018684341.81.53597633481.43898205760.17404028040.2868183820.60679611651.09351401610.25044084070.47584433232.0247945110.69493569761.811.54113731241.44992274520.17139768890.28370088260.60414929741.09500438040.24851340760.47225375192.02755412940.68969191861.821.54626453961.46101327470.1687922480.28061373650.60151099561.09649220410.2466077150.46866888092.03030904370.68445647781.831.5513581991.47225465760.16622357090.27755679420.59888128981.09797732840.24472342640.46509036522.03305895950.67923031851.841.55641847391.48364792290.16369126950.27452990190.59626025571.09945960010.2428602120.46151883192.03580359340.67401435651.851.5614455481.49519411630.16119495540.27153290230.59364796681.10093887160.24101774890.45795488952.03854267190.66880948041.861.56643960531.50689430040.15873423940.26856563430.59104449381.10241500070.23919572060.45439912822.04127593180.66361655211.871.571400831.51874955440.15630873210.26562793320.58844990531.10388785030.23739381730.450852122.04400311950.65843640721.881.57632940661.53076097420.15391804420.26271963120.5858642671.10535728880.23561173520.44731441942.04672399070.65326985521.891.581225521.54292967190.1515617860.25984055720.58328764251.1068231890.23384917680.44378656322.04943831050.64811768041.91.58608935511.55525677630.14923956860.25699053720.58072009291.10828542890.23210585040.44026907122.05214585270.64298064171.911.59092109711.56774343230.14695100320.25416939420.57816167711.1097438910.23038147020.43676244612.05484639980.63785947331.921.59572093111.58039080090.14469570160.25137694860.57561245161.11119846240.22867575580.43326717422.05753974260.63275488531.931.60048904261.59320005920.14247327650.24861301810.57307247071.11264903440.22698843260.42978372522.060225680.62766756391.941.60522561691.60617240050.14028334140.24587741810.57054178651.11409550270.22531923120.42631255282.06290401890.62259817171.951.60993083941.61930903380.13812551080.24316996180.56802044871.11553776710.22366788740.42285409522.06557457370.61754734841.961.61460489551.63261118380.13599940050.24049045980.56550850521.11697573150.22203414220.41940877482.06823716640.6125157111.971.61924797061.64608009130.13390462750.23783872120.56300600161.11840930360.22041774140.41597699892.07089162610.60750385431.981.62386024991.65971701260.13184081030.23521455290.56051298151.11983839480.21881843580.41255915992.07353778880.60251235141.9821.62477902651.66246467020.13143172810.23469301050.56001551921.12012366780.21850060450.4118772982.07406601170.6015165422724.4992Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*2.001.63299316191.68750.12780452550.23004814580.55555555561.12268279880.21567013670.4057667892.07880460160.59259259262.011.63751416451.70164865660.12583130310.22750551260.55309122691.12409795250.21412066790.40239296972.0814249570.58766537742.021.64200511111.7159705080.12388752740.22498966070.55063653581.12550830690.21258734330.39903451322.08403642590.58276059842.031.64646618641.7304668880.12197282580.22250038940.54819151621.12691379080.21106993630.39569174142.08663887640.57787872562.041.65089757441.74513914590.12008682790.22003749650.54575619981.12831433610.20956822420.3923649632.08923218240.57302021012.051.65529945931.75998864620.11822916540.21760077890.54333061671.12970987790.20808198870.38905447372.09181622370.56818548362.061.65967202461.77501676860.11639947230.21519003250.54091479511.13110035410.20661101520.38576055642.09439088530.56337495942.071.66401545391.79022490840.11459738510.21280505210.53850876151.13248570560.20515509320.38248348192.09695605790.55858903282.081.66832993011.80561447560.11282254240.2104456320.53611254071.13386587610.20371401580.37922350852.09951163710.5538280812.091.67261563591.82118689560.11107458580.20811156540.53372615581.1352408120.202287580.37598088262.10205752370.54909246412.101.67687275361.83694360890.10935315890.20580264510.53134962811.13661046240.20087558640.37275583912.10459362340.54438252492.111.68110146511.85288607110.10765790850.20351866330.52898297731.13797477890.19947783910.36954860152.10711984660.539698592.121.6853019521.86901575290.10598848370.20125941190.52662622181.13933371550.19809414560.36635938212.10963610830.53504096932.131.68947439521.885334140.10434453650.1990246820.5242793781.14068722880.1967243170.36318838232.1121423280.53040995692.141.69361897531.9018427330.10272572180.19681426490.52194246111.14203527770.19536816750.36003579292.11463842950.52580583172.151.69773587251.91854304780.10113169730.19462795140.51961548451.14337782330.19402551470.35690179442.11712434080.52122885712.161.70182526631.93543661490.09956212350.19246553220.51729846051.14471482890.19269617930.3537865572.11959999420.51667928172.171.70588733571.95252498020.0980166640.19032679790.51499139961.146046260.1913799850.35069024132.12206532560.51215733992.181.70992225941.96980970420.09649498540.18821153920.51269431111.14737208420.19007675870.34761299782.12452027490.50766325192.191.71393021531.98729236240.09499675730.18611954680.51040720291.14869227110.18878633020.3445549682.1269647860.5031972242.201.71791138082.00497454550.09352165220.18405061150.50813008131.15000679210.18750853210.3415162842.1293988060.49875944922.211.72186593272.02285785870.0920693460.18200452450.50586295161.15131562070.18624320.33849706912.13182228570.49435010752.221.72579404742.04094392250.09063951740.17998107690.50360581771.15261873220.18499017220.33549743762.13423517940.48996936612.231.72969590042.05923437220.08923184860.17798006050.5013586821.15391610370.18374928960.33251749562.13663744450.48561737972.241.73357166672.07773085780.08784602460.17600126720.49912154611.15520771380.1825203960.32955734082.13902904170.48129429092.251.73742152062.09643504450.08648173390.17404448950.49689440991.15649354310.18130333770.32661706272.14140993480.47700023082.261.7412456362.11534861230.08513866810.17210952020.49467727251.15777357350.18009796330.32369674312.14378009080.47273531852.271.74504418572.1344732560.08381652180.17019615290.49247013171.15904778890.17890412430.32079645622.14613947910.46849966252.281.74881734212.15381068540.08251499330.16830418160.4902729841.16031617430.17772167430.31791626862.14848807260.464293362.291.75256527692.17336262520.08123378380.16643340090.4880858251.16157871650.17655046960.31505623982.15082584640.4601164982.301.75628816112.19313081520.07997259780.16458360620.48590864921.16283540350.17539036850.31221642212.15315277850.45596915292.311.75998616492.21311700990.07873114310.16275459360.48374144991.16408622480.17424123190.30939686122.15546884950.45185139132.321.76365945792.23332297860.07750913070.16094615980.48158421941.16533117120.17310292270.3065975962.15777404240.44776327012.331.76730820872.25375050610.07630627510.15915810260.47943694921.1665702350.17197530620.3038186592.16006834260.44370483662.341.77093258552.27440139150.07512229390.15739022030.47729962961.16780340940.17085824970.30106007632.1623517380.43967612922.351.77453275552.29527744930.07395690780.15564231250.47517224991.16903068920.16975162270.29832186812.16462421860.43567717722.361.77810888532.31638050890.07280984110.15391417930.47305479871.17025207020.16865529670.29560404852.16688577670.43170800142.371.78166114062.33771241450.07168082110.15220562190.47094726331.17146754930.16756914530.29290662622.16913640670.42776861422.381.78518968652.35927502560.07056957850.15051644260.46884963051.17267712460.16649304410.2902296042.17137610490.42385901992.391.7886946872.38107021640.06947584720.14884644450.46676188611.17388079530.16542687050.28757297942.173604870.4199792148Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*2.41.79217630572.40309987650.06839936430.1471954320.46468401491.17507856160.16437050390.28493674492.17582270220.41612918792.411.79563470512.42536591040.06733987020.14556321030.4626160011.17627042470.16332382570.28232088752.17802960380.41230892042.421.7990700472.44787023740.06629710860.14394958590.46055782761.17745638670.16228671890.27972538982.18022557890.40851838662.431.80248249252.47061479240.06527082610.14235436630.45850947741.1786364510.16125906850.27715022942.18241063320.40475755392.441.80587220162.49360152510.06426077280.14077736020.45647093191.17981062130.16024076110.27459537922.18458477430.40102638292.451.80923933372.51683240040.06326670180.13921837740.45444217221.18097890280.15923168510.2720608082.18674801130.39732482782.461.81258404742.54030939830.06228836960.1376772290.45242317851.18214130120.15823173060.269546482.18890035490.39365283642.471.81590650022.56403451410.06132553540.13615372720.45041393041.18329782320.15724078940.26705235542.19104181740.39001035072.481.81920684922.58800975830.0603779620.13464768560.44841440671.1844484760.1562587550.26457839052.19317241250.38639730662.491.82248525022.61223715670.05944541510.13315891880.44642458551.18559326790.15528552220.26212453742.19529215520.38281363452.51.82574185842.636718750.05852766350.13168724280.44444444441.18673220790.15432098770.25969074492.19740106230.37925925932.511.82897682812.66145659460.05762447890.13023247490.44247396041.18786530560.15336504950.25727695792.19949915150.37573410072.521.83219031272.68645276210.05673563650.12879443370.44051310971.18899257130.15241760740.2548831182.2015864420.37223807322.531.83538246492.71170933920.05586091410.1273729390.43856186791.1901140160.15147856230.25250916332.20366295410.36877108682.541.83855343642.73722842840.05500009260.12596781210.43662021031.19122965150.1505478170.25015502882.20572870950.36533304622.551.84170337792.76301214710.0541529560.12457887540.43468811131.19233948990.14962527530.24782064642.2077837310.36192385222.561.84483243962.78906262860.05331929130.12320595280.43276554491.19344354420.14871084280.2455059452.20982804230.35854340082.571.84794077062.81538202130.05249888820.12184886960.43085248471.19454182780.14780442610.24321085072.21186166840.35519158412.581.85102851912.84197248930.05169153960.12050745240.42894890361.19563435480.14690593340.24093528672.21388463540.351868292.591.85409583242.8688362120.0508970410.11918152910.4270547741.19672113980.14601527420.23867917362.21589697010.34857340262.61.85714285712.89597538460.05011519090.1178709290.4251700681.19780219780.14513235930.23644242972.21789870060.34530680242.611.86016973892.92339221780.04934579070.1165754830.42329475711.19887754440.14425710060.23422497062.21988985560.34206836632.621.86317662252.95108893770.04858864460.1152950230.42142881221.19994719570.14338941160.23202670972.22187046490.33885796772.631.86616365172.97906778640.04784355940.11402938270.41957220421.20101116820.14252920670.22984755822.22384055920.33567547692.641.86913096963.00733102140.0471103450.1127783970.41772490311.2020694790.14167640180.2276874252.22580016990.33252076112.651.87207871833.03588091610.04638881360.11154190220.41588687881.20312214530.14083091380.22554621722.22774932920.32939368432.661.8750070393.06471975950.04567878040.1103197360.41405810061.20416918510.13999266080.22342383972.22968807010.32629410792.671.87791607213.09384985650.04498006320.10911173770.41223853771.20521061650.13916156210.22132019592.23161642630.32322189062.681.8808059573.12327352780.04429248250.10791774770.41042815871.20624645810.13833753810.21923518712.23353443230.32017688852.691.88367683253.15299310980.04361586130.10673760820.40862693181.20727672890.13752051030.21716871322.23544212320.31715895512.71.88652883623.18301095510.04295002540.10557116250.40683482511.20830144820.13671040140.21512067222.23733953470.31416794162.711.88936210493.21332943190.04229480290.10441825530.40505180611.20932063570.1359071350.21309096092.23922670310.31120369732.721.89217677463.24395092460.04165002460.10327873310.40327784231.21033431120.1351106360.21107947452.24110366550.30826606912.731.89497298043.27487783360.04101552390.10215244350.40151290061.21134249510.134320830.20908610682.24297045930.3053549022.741.89775085653.30611257510.04039113640.10103923540.39975694781.21234520790.13353764390.20711075042.24482712270.30247003912.751.90051053633.33765758170.03977670030.09993895960.39800995021.21334247050.13276100540.20515329682.24667369410.29961132192.761.90325215223.36951530190.03917205640.09885146780.39627187421.21433430390.13199084350.20321363612.24851021280.29677858992.771.90597583583.40168820050.03857704760.09777661340.39454268561.21532072960.13122708780.20129165762.25033671820.29397168142.781.90868171783.43417875840.03799151940.09671425120.392822351.21630176910.1304696690.19938724932.25215325040.29119043312.791.91136992813.46698947280.03741531950.09566423720.3911108331.21727744420.12971851890.19750029872.25395984970.2884346802Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*2.81.91404059573.50012285710.03684829790.09462642910.38940809971.21824777710.12897356990.19563069192.25575655710.28570425692.811.91669384863.53358144120.03629030710.09360068580.38771411511.219212790.12823475550.19377831472.25754341370.2829989962.821.91932981423.56736777120.03574120140.09258686750.38602884411.22017250530.12750201010.19194305172.25932046110.28031872912.831.92194861873.60148440960.03520083790.09158483610.38435225121.22112694570.1267752690.1901247872.26108774140.27766328722.841.92455038793.63593393540.03466907550.09059445470.38268430081.2220761340.12605446830.18832340432.26284529660.27503252.851.92713524623.67071894410.03414577550.08961558770.38102495711.22302009330.12533954480.18653878622.26459316960.27242619642.861.92970331763.70584204780.0336308010.0886481010.37937418431.22395884660.12463043650.18477081532.2663314030.26984420472.871.9322547253.7413058750.03312401770.08769186190.37773194631.22489241740.12392708180.18301937332.26806004020.26728635232.881.93478959053.77711307080.03262529290.08674673880.37609820681.2258208290.12322942030.18128434162.26977912440.2647524662.891.93730803543.81326629720.03213449640.08581260190.37447292941.2267441050.12253739210.17956560152.27148869940.26224237232.91.93981018013.84976823280.03165149970.08488932220.37285607761.22766226910.12185093810.17786303362.2731888090.25975589692.911.94229614423.88662157270.03117617650.08397677260.37124761471.22857534520.12117000030.17617651822.27487949740.25729286512.921.94476604643.92382902920.03070840250.0830748270.36964750411.22948335720.1204945210.17450593572.27656080880.25485310212.931.94722000473.96139333110.0302480550.08218336060.36805570891.2303863290.11982444350.1728511662.27823278770.25243643242.941.9496581363.99931722420.02979501380.081302250.36647219211.23128428480.11915971190.1712120892.27989547890.25004268082.951.95208055684.03760347130.02934916010.08043137330.36489691661.23217724890.11850027080.16958858422.2815489270.24767167142.961.95448738244.0762548520.02891037730.07957060960.36332984541.23306524550.11784606560.16798053152.28319317720.24532322842.971.95687872734.1152741630.02847855040.07871983940.36177094111.23394829890.11719704250.16638781022.28482827440.2429971762.981.95925470544.15466421820.02805356640.07787894450.36022016661.23482643360.11655314830.16481032.28645426380.24069333832.991.96161542964.19442784820.0276353140.0770478080.35867748441.2356996740.11591433050.16324788062.28807119090.23841153943.001.96396101214.23456790120.02722368370.07622631440.35714285711.23656804470.11528053720.16170043142.2896791010.23615160353.101.98660814194.65731060480.02344872640.06851717860.34223134841.24498933770.10920800220.14702293112.30527230560.21471619243.202.00785857645.12095750.02022775250.06165418960.32808398951.25295081090.10358546080.13371160692.32001408950.19527598113.302.02781166255.6286468420.01747677820.05554120120.31466331031.26047705340.09837061250.12165116692.33394998270.17766259423.402.04655950256.18369882350.01512459840.05009266990.30193236711.26759221780.09352596130.11073169572.34712470710.16171550863.502.06418738626.78962053570.013110920.0452326740.28985507251.27431976390.08901817160.10084973862.35958170190.14728363613.602.08077422637.45011102880.01138473310.04089396110.27839643651.28068228490.08481752530.09190889292.37136280150.13422618753.702.09639298888.16906645270.00990290150.03701704590.26752273941.28670139430.08089746060.08382003752.38250802650.12241300843.802.11111111118.95058526320.0086289530.03354936920.25720164611.29239766080.07723417950.07650130542.39305546260.11172453763.902.12499090439.79897348170.00753204520.03044452670.24740227611.29779057690.07380631120.06987787632.40304120290.10205150594.002.138089935310.718750.00658608730.02766156670.23809523811.30289855430.07059462330.06388165192.41249933910.09329446064.102.150461388111.71465192070.00576899530.02516435750.22925263641.30773893750.0675817720.0584508582.42146198720.08536318514.202.162154402612.79163992950.00506206290.02292102080.22084805651.31232803120.06475208580.05352960682.42995933760.07817605924.302.173214391613.95490369190.00444943080.02090342590.21285653471.31668113690.06209137830.04906744412.43801972310.07165939824.402.183683334715.20986727270.003917640.01908674190.20525451561.32081259550.05958678390.04501889752.4456696980.06574679334.502.19360005216.5621945730.00345525560.01744904070.1980198021.32473583390.05722661520.0413430392.45293412380.06037847194.602.20300045618.01779478260.0030525510.01597094680.19113149851.3284634130.05500023720.03800306672.45983625910.05550068764.702.211917785119.58282784570.0027012420.01463532930.1845699521.33200707720.05289795750.03496591312.46639785030.05106514794.802.220382817721.26370993830.00239426370.01342703090.17831669041.33537780290.0509109290.0322018812.47263922140.047028482Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ]k =1.4MM*4.92.228424070223.06711895410.00212558250.01233262960.17235436061.33858584560.04903106420.02968430772.47857936220.043351751152.2360679775250.00189003840.01134023030.16666666671.34164078650.04725095950.02738925832.48423601360.0462.29527616753.17978395060.00063336130.00519356260.12195121951.36547679380.03368201660.01287578482.5283717230.018804138172.3333333333104.14285714290.00024155550.0026087990.09259259261.3809523810.02515627560.00657492482.55702694220.009602194882.3590712985190.1093750.00010242910.00141352110.07246376811.39148346120.0194727250.00360177642.57652671380.005260129992.3772174471327.18930041150.0000473860.00081503990.05813953491.39893866230.0155042060.00209276852.59033106380.0030563347102.3904572187535.93750.00002356310.00049482510.04761904761.4043936160.01262835010.0012776332.60043167530.001865889200001.4289002.64580k =1.40.790.81597377211.0425050.6625360.7452340.88903113391.02075167960.69069713680.65681342321.89006484370.9592277631Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ b ]k =1MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ b ]k =1MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ c ]k =1.1MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ c ]k =1.1MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ d ]k =1.2MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ d ]k =1.2MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ e ]k =1.3MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ e ]k =1.3MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ f ]k =1.67MM*Tabla A.1Funciones para flujo isentrpico unidimensional para un gas perfecto[ Calor especfico y peso molecular constantes ][ f ]k =1.67MM*

ONDA DE CHOQUETabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy1.001.000001.000001.000001.000001.00000001.89292921.010.990131.023451.016691.006640.99999871.91521441.020.980521.047131.033441.013250.99999001.93789661.030.971151.071051.050241.019810.99996701.96096831.040.962031.095201.067091.026340.99992331.98442251.050.953131.119581.083981.032840.99985302.00825291.060.944451.144201.100921.039310.99975072.03245321.070.935981.169051.117901.045750.99961152.05701801.080.927711.194131.134921.052170.99943072.08194191.090.919651.219451.151991.058560.99920422.10721991.100.911771.245001.169081.064940.99892802.13284741.110.904081.270781.186211.071290.99859872.15882001.120.896561.296801.203381.077630.99821312.18513371.130.889221.323051.220571.083960.99776812.21178461.140.882041.349531.237791.090270.99726112.23876901.150.875021.376251.255041.096580.99668982.26608351.160.868161.403201.272311.102870.99605182.29372501.170.861451.430381.289611.109160.99534542.32169031.180.854881.457801.306931.115440.99456862.34997671.190.848461.485451.324261.121720.99372012.37858131.200.842171.513331.341611.127990.99279842.40750161.210.836011.541451.358981.134270.99180232.43673531.220.829991.569801.376361.140540.99073092.46627991.230.824081.598381.393761.146820.98958332.49613341.240.818301.627201.411161.153090.98835882.52629361.250.812641.656251.428571.159380.98705682.55675861.260.807091.685531.445991.165660.98567682.58752651.270.801641.715051.463411.171950.98421872.61859571.280.796311.744801.480841.178250.98268222.64996431.290.791081.774781.498271.184560.98106712.68163081.300.785961.805001.515701.190870.97937362.71359361.310.780931.835451.533121.197200.97760182.74585141.320.776001.866131.550551.203530.97575192.77840281.330.771161.897051.567971.209880.97382422.81124631.340.766411.928201.585381.216240.97181912.84438091.350.761751.959581.602781.222610.96973712.87780521.360.757181.991201.620181.229000.96757872.91151821.370.752692.023051.637571.235400.96534452.94551871.380.748292.055131.654941.241810.96303522.97980581.390.743962.087451.672311.248250.96065163.0143783Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy1.400.739712.120001.689661.254690.95819443.04923541.410.735542.152781.706991.261160.95566453.08437621.420.731442.185801.724301.267640.95306293.11979971.430.727412.219051.741601.274140.95039033.15550521.440.723452.252531.758881.280660.94764793.19149181.450.719562.286251.776141.287200.94483673.22775891.460.715742.320201.793371.293770.94195773.26430551.470.711982.354381.810581.300350.93901203.30113111.480.708292.388801.827771.306950.93600083.33823491.490.704662.423451.844931.313570.93292533.37561631.500.701092.458331.862071.320220.92978653.41327481.510.697582.493451.879181.326880.92658583.45120961.520.694132.528801.896261.333570.92332443.48942021.530.690732.564381.913311.340290.92000343.52790611.540.687392.600201.930331.347030.91662433.56666671.550.684102.636251.947321.353790.91318833.60570151.560.680872.672531.964271.360570.90969663.64501001.570.677682.709051.981191.367380.90615073.68459181.580.674552.745801.998081.374220.90255173.72444631.590.671472.782782.014931.381080.89890113.76457321.600.668442.820002.031751.387970.89520033.80497201.610.665452.857452.048521.394880.89145043.84564241.620.662512.895132.065261.401820.88765293.88658381.630.659622.933052.081971.408790.88380923.92779601.640.656772.971202.098631.415780.87992063.96927861.650.653963.009582.115251.422800.87598844.01103121.660.651193.048202.131831.429850.87201404.05305341.670.648473.087052.148361.436930.86799874.09534511.680.645793.126132.164861.444030.86394394.13790571.690.643153.165452.181311.451170.85985094.18073511.700.640543.205002.197721.458330.85572114.22383291.710.637983.244782.214081.465520.85155574.26719881.720.635453.284802.230401.472740.84735624.31083261.730.632963.325052.246671.479990.84312374.35473401.740.630513.365532.262891.487270.83885974.39890271.750.628093.406252.279071.494580.83456544.44333851.760.625703.447202.295201.501920.83024214.48804121.770.623353.488382.311281.509290.82589104.53301041.780.621043.529802.327311.516690.82151344.57824611.790.618753.571452.343291.524120.81711064.6237478Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy1.800.616503.613332.359221.531580.81268384.66951561.810.614283.655452.375101.539070.80823424.71554901.820.612093.697802.390931.546590.80376304.76184801.830.609933.740382.406711.554150.79927154.80841241.840.607803.783202.422441.561730.79476074.85524191.850.605703.826252.438111.569350.79023194.90233631.860.603633.869532.453731.577000.78568624.94969561.870.601583.913052.469301.584680.78112474.99731951.880.599573.956802.484811.592390.77654855.04520781.890.597584.000782.500271.600140.77195885.09336041.900.595624.045002.515681.607920.76735665.14177721.910.593684.089452.531031.615730.76274305.19045791.920.591774.134132.546331.623570.75811905.23940251.930.589884.179052.561571.631440.75348575.28861081.940.588024.224202.576751.639350.74884415.33808261.950.586184.269582.591881.647290.74419515.38781781.960.584374.315202.606951.655270.73953985.43781641.970.582584.361052.621961.663280.73487905.48807811.980.580474.416382.639911.672930.72928045.54873931.990.579074.453452.651821.679390.72554525.58939042.000.577354.500002.666671.687500.72087395.64044082.010.575654.546782.681451.695640.71620085.6917539464.36138972342.020.573974.593802.696181.703820.71152695.74332962.030.572314.641052.710851.712030.70685305.79516772.040.570684.688532.725461.720270.70217995.84726822.050.569064.736252.740021.728550.69750845.89963092.060.567474.784202.754511.736860.69283945.95225582.070.565894.832382.768951.745210.68817376.00514272.080.564334.880802.783321.753590.68351196.05829162.090.562804.929452.797641.762000.67885486.11170242.100.561284.978332.811901.770450.67420326.16537502.110.559785.027452.826101.778930.66955786.21930922.120.558295.076802.840241.787450.66491936.27350502.130.556835.126382.854321.796010.66028836.32796242.140.555385.176202.868351.804590.65566556.38268122.150.553955.226252.882311.813220.65105166.43766142.160.552545.276532.896211.821880.64644726.49290282.170.551155.327052.910051.830570.64185296.54840552.180.549775.377802.923831.839300.63726926.60416932.190.548405.428782.937561.848060.63269696.6601942Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy2.200.547065.480002.951221.856860.62813636.71648012.210.545725.531452.964821.865690.62358826.77302692.220.544415.583132.978371.874560.61905296.82983462.230.543115.635052.991851.883470.61453116.88690302.240.541825.687203.005271.892410.61002326.94423222.250.540555.739583.018631.901380.60552977.00182212.260.539305.792203.031941.910400.60105117.05967262.270.538055.845053.045181.919440.59658797.11778372.280.536835.898133.058361.928530.59214047.17615522.290.535615.951453.071491.937650.58770917.23478722.300.534416.005003.084551.946800.58329457.29367962.310.533226.058783.097551.955990.57889697.35283242.320.532056.112803.110491.965220.57451677.41224542.330.530896.167053.123381.974480.57015437.47191862.340.529746.221533.136201.983780.56581007.53185212.350.528616.276253.148971.993110.56148427.59204572.360.527496.331203.161672.002490.55717737.65249932.370.526386.386383.174322.011890.55288947.71321302.380.525286.441803.186902.021340.54862117.77418672.390.524196.497453.199432.030820.54437257.83542042.400.523126.553333.211902.040330.54014397.89691402.410.522066.609453.224302.049880.53593567.95866742.420.521006.665803.236652.059470.53174798.02068072.430.519966.722383.248942.069100.52758118.08295372.440.518946.779203.261172.078760.52343538.14548652.450.517926.836253.273352.088460.51931078.20827902.460.516916.893533.285462.098190.51520778.27133122.470.515926.951053.297522.107970.51112648.33464302.480.514937.008803.309512.117770.50706718.39821442.490.513957.066783.321452.127620.50302988.46204542.500.512997.125003.333332.137500.49901488.52613592.510.512037.183453.345162.147420.49502238.59048592.520.511097.242133.356922.157370.49105238.65509532.530.510157.301053.368632.167370.48710528.71996422.540.509237.360203.380282.177390.48318098.78509252.550.508317.419583.391872.187460.47927978.85048012.560.507417.479203.403412.197560.47540168.91612712.570.506517.539053.414892.207700.47154688.98203342.580.505627.599133.426312.217880.46771539.04819902.590.504747.659453.437672.228090.46390749.1146238Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy2.600.503877.720003.448982.238340.46012309.18130782.610.503017.780783.460232.248630.45636239.24825102.620.502167.841803.471432.258960.45262539.31545342.630.501317.903053.482572.269320.44891209.38291492.640.500487.964533.493652.279720.44522279.45063552.650.499658.026253.504682.290150.44155739.51861522.660.498838.088203.515652.300630.43791589.58685402.670.498028.150383.526572.311140.43429839.65535182.680.497228.212803.537432.321680.43070499.72410862.690.496428.275453.548242.332270.42713569.79312452.700.495638.338333.558992.342890.42359039.86239922.710.494858.401453.569692.353550.42006919.93193302.720.494088.464803.580332.364250.416572110.00172562.730.493328.528383.590922.374980.413099210.07177722.740.492568.592203.601462.385760.409650410.14208762.750.491818.656253.611942.396570.406225810.21265692.760.491078.720533.622372.407410.402825310.28348502.770.490338.785053.632742.418300.399448810.35457202.780.489608.849803.643072.429220.396096510.42591772.790.488888.914783.653342.440180.392768110.49752222.800.488178.980003.663552.451170.389463910.56938552.810.487469.045453.673722.462210.386183610.64150752.820.486769.111133.683832.473280.382927210.71388832.830.486069.177053.693892.484390.379694810.78652772.840.485389.243203.703892.495540.376486310.85942592.850.484699.309583.713852.506720.373301510.93258272.860.484029.376203.723752.517940.370140511.00599822.870.483359.443053.733612.529200.367003311.07967232.880.482699.510133.743412.540500.363889611.15360502.890.482039.577453.753162.551830.360799611.22779642.900.481389.645003.762862.563210.357733011.30224632.910.480739.712783.772512.574620.354690011.37695482.920.480109.780803.782112.586070.351670211.45192182.930.479469.849053.791672.597550.348673811.52714742.940.478849.917533.801172.609080.345700611.60263162.950.478219.986253.810622.620640.342750511.67837422.960.4776010.055203.820022.632240.339823411.75437542.970.4769910.124383.829372.643870.336919311.83063502.980.4763810.193803.838682.655550.334038111.90715312.990.4757810.263453.847942.667260.331179711.9839297Tabla 2Choque normal unidimen sional de un gas perdecto( Calor especfico y peso molecular constantes )k =1.4MxMy3.000.4751910.333333.857142.679010.328343912.06096473.500.4511514.125004.260873.315050.212947616.24200094.000.4349618.500004.571434.046880.138756221.06808104.500.4235523.458334.811884.875090.091697926.53866515.000.4152329.000005.000005.800000.061716332.65347436.000.4041641.833335.268297.940590.029650946.81520577.000.3973657.000005.4444410.469390.015351563.55262638.000.3928974.500005.5652213.386720.008487882.86546819.000.3898094.333335.6511616.692730.0049639104.753604410.000.38758116.500005.7142920.387500.0030448129.2169684Tabla 2Choque normal unidimensional de un gas perfecto( Calor especfico y peso molecular constantes )k =1.0MxMy1.001.051.101.151.201.251.301.351.401.451.501.551.601.651.701.751.801.851.901.952.002.052.102.152.202.252.302.352.402.452.502.552.602.652.702.752.802.852.902.953.003.503.504.004.505.006.007.008.009.0010.00

FANNOTabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M01.200000.011.19998109.543416072457.8738437134.40453815860.021.1999054.770064991728.9421301778.44988189930.031.1997836.511551275319.300542787.08138717510.041.1996227.381747146114.481486440.35221424990.051.1994021.903427127711.591444280.02030611540.061.1991418.25084945999.665910193.03108159760.071.1988315.64155344448.291525140.65501357750.081.1984713.68430878087.261610106.71821578860.091.1980612.16176534556.46134283.4961172170.101.1976010.94351310335.82182966.92156002980.111.197109.94656388495.29923054.68789548850.121.196559.11559227634.86431845.40796199490.131.195968.41229609724.49685938.20700310860.141.195317.80931667454.18240032.511305980.151.194627.28659100643.91034327.93196747320.161.193896.82907186523.67273924.19783002170.171.193106.42525256923.46350921.1151782430.181.192276.06618349743.27792618.54265446970.191.191405.74479917923.11225916.375163660.21.190485.45544725592.96352014.5332664820.211.189515.1935520262.82929412.95602188330.221.188504.95536974982.70760211.59605442560.231.187444.73780778792.59681210.41608993880.241.186334.53828895572.4955629.38648053260.251.185194.35464843162.4027108.4834088410.261.183994.18505445672.3172877.68756658350.271.182764.02794665612.2384716.98316953180.281.181473.88198757762.1655546.35721448590.291.180153.74602425642.0979285.79891264460.31.178783.61905746682.0350655.29925310510.311.177373.50021692611.9765074.85066344370.321.175923.38874114631.9218514.44674347340.331.174423.28396095061.8707454.08205469960.341.172883.18528589741.8228763.75195255250.351.171303.09219303291.7779693.45245174930.361.169683.00421751711.7357783.18011752260.371.168022.92094477091.6960862.9319771890.381.166322.84200386231.6586962.70544783070.391.164572.76706191061.6234332.4982768203Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M0.401.162792.69581933011.5901402.30849265080.411.160972.6280057691.5586732.13436408120.421.159112.56337662961.5289051.97436602870.431.157212.50171007331.5007181.82715096760.441.155272.4428044341.4740051.69152484020.451.153292.3864759771.4486721.56642668710.461.151282.33255694921.4246291.45091135460.471.149232.28089387931.4017951.34413476050.481.147142.23134609011.3800971.24534129450.491.145022.18378439211.3594681.15385300880.501.142862.13808993531.3398441.06906031270.511.140662.09415319521.3211680.9904139390.521.138432.05187307581.3033880.91741798580.531.136172.01115611471.2864540.84962387430.541.133871.97191577581.2703210.78662508610.551.131541.93407181971.2549480.72805256880.561.129181.89754974131.2402940.67357071340.571.126781.86228026681.2263260.62287382490.581.124351.82819890251.2130070.5756830180.591.121891.79524552961.2003080.531743480.601.119401.76336403961.1882000.49082205270.611.116881.73250200551.1766540.4527050920.621.114331.70261038451.1656460.41719656860.631.111751.67364324971.1551510.38411637960.641.109141.64555754641.1451480.35329884510.651.106501.61831287091.1356160.32459136670.661.103831.59187126991.1265350.29785322810.671.101141.56619705741.1178870.27295452220.681.098421.54125664761.1096550.24977518750.691.095671.51701840321.1018220.22820414360.701.092901.49345249571.0943730.20813851250.711.090101.47053077791.0872940.18948291780.721.087271.44822666741.0805710.17214885160.731.084421.42651503911.0741920.15605410240.741.081551.40537212661.0681440.14112223790.751.078651.38477543171.0624170.12728213570.761.075731.36470364091.0569990.11446755770.771.072791.34513654811.0518810.10261676360.781.069821.3260549841.0470530.09167215850.791.066841.30744075011.0425050.08157997341.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.0000000M0.0000000.00000001.2000000.00000000.801.063831.28927655781.0382300.07228997240.811.060801.27154597281.0342190.06375518580.821.057751.2542333621.0304640.0559316670.831.054691.23732384631.0269590.04877826890.841.051601.22080325451.0236960.04225643970.851.048491.20465808251.0206690.03633003560.861.045371.18887545391.0178710.03096514890.871.042231.17344308421.0152970.02612995020.881.039071.1583492471.0129410.02179454260.891.035891.14358274251.0107980.01793082870.901.032701.12913286821.0088630.01451238690.911.029501.11498939171.0071310.01151435820.921.026271.10114252511.0055970.00891334080.931.023041.08758290071.0042580.00668729390.941.019781.0743015491.0031080.00481544790.951.016521.06128987761.0021450.00327822110.961.013241.04853965131.0013650.00205714390.971.009951.03604297391.0007630.0011347870.981.006641.02379227081.0003370.00049469550.991.003331.01178027261.0000840.00012132811.001.0000011.00000001.010.996660.98844474921.0000830.000116831.020.993310.97710807861.0003300.00045869141.030.989950.96598379571.0007380.00101316641.040.986580.95506594531.0013050.00176850331.050.983200.94434879841.0020290.00271357691.060.979820.93382684111.0029070.00383785141.070.976420.92349476451.0039380.00513134591.080.973020.91334745551.0051190.00658460221.090.969600.90337998781.0064490.00818865421.100.966180.89358761311.0079250.00993500031.110.962760.8839657531.0095470.01181557681.120.959320.87450999191.0113120.01382273291.130.955890.86521606931.0132190.01594920811.140.952440.85607987311.0152670.01818811011.150.948990.84709743331.0174540.02053289471.160.945540.83826491551.0197800.02297734681.170.942080.82957861551.0222420.02551556211.180.938610.82103495341.0248400.02814193111.190.935150.81263046871.0275730.0308511223Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M1.200.931680.80436181511.0304400.03363806831.210.928200.79622575571.0334400.03649795131.220.924730.78821915861.0365720.039426191.230.921250.78033899281.0398350.04241842751.240.917770.77258232381.0432290.04547051951.250.914290.764946311.0467530.04857852341.260.910800.75742819861.0504060.05173868771.270.907320.75002532281.0541890.05494744281.280.903830.74273509761.0581000.05820139141.290.900350.73555501731.0621380.06149729961.300.896860.7284826521.0663050.06483208941.310.893380.7215156451.0705980.06820283041.320.889890.71465170971.0750180.07160673271.330.886410.70788862731.0795650.075041141.340.882920.70122424411.0842390.07850352281.350.879440.69465646911.0890380.08199147261.360.875960.68818327161.0939640.08550269591.370.872490.68180267921.0990150.08903500851.380.869010.67551277541.1041930.09258633041.390.865540.66931169781.1094960.0961546811.400.862070.66319763631.1149260.09973817381.410.858600.65716883091.1204810.10333501281.420.855140.65122357021.1261620.10694348741.430.851680.64536018931.1319690.11056196891.440.848220.63957706881.1379030.11418890661.450.844770.63387263291.1439630.1178228241.460.841330.62824534771.1501500.12146231581.470.837880.62269372021.1564630.12510604381.480.834450.61721629671.1629040.12875273491.490.831010.61181166121.1694710.13240117711.500.827590.60647843491.1761670.13605021741.510.824160.60121527411.1829910.13969875881.520.820750.59602086981.1899430.14334575811.530.817340.59089394591.1970240.14699022281.540.813930.58583325871.2042340.15063120971.550.810540.58083759561.2115740.15426782191.560.807150.5759057741.2190440.15789920731.570.803760.57103664061.2266440.16152455641.580.800380.56622907011.2343760.16514310021.590.797010.5614819651.2422390.1687541087Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M1.60.793650.5567942541.2502350.17235688931.610.790300.55216489151.2583640.17595078461.620.786950.54759285691.2666260.17953517141.630.783610.54307715371.2750220.18310945881.640.780270.53861680891.2835530.18667308721.650.776950.53421087221.2922190.19022552661.660.773630.52985841521.3010210.19376627551.670.770330.52555853091.3099600.19729485941.680.767030.52131033331.3190370.20081082991.690.763740.51711295621.3282520.20431376361.70.760460.51296555321.3376060.20780326071.710.757180.50886729671.3471000.21127894441.720.753920.50481737771.3567350.21474045941.730.750670.50081500491.3665110.21818747151.740.747420.49685940481.3764300.22161966621.750.744190.49294982041.3864920.22503674841.760.740960.48908551121.3966980.22843844111.770.737740.4852657531.4070490.23182448471.780.734540.48148983681.4175460.23519463641.790.731340.47775706881.4281900.23854866951.80.728160.474066771.4389820.24188637251.810.724980.47041827551.4499230.24520754851.820.721810.46681093451.4610130.2485120151.830.718660.46324410971.4722550.25179960241.840.715510.45971717681.4836480.25507015441.850.712380.45622952461.4951940.25832352661.860.709250.45278055421.5068940.26155958681.870.706140.44936967891.5187500.26477821371.880.703040.44599632371.5307610.26797929681.890.699950.44265992551.5429300.27116273621.90.696860.43935993221.5552570.27432844141.910.693790.43609580251.5677430.27747633181.920.690730.43286700611.5803910.28060633551.930.687690.42967302281.5932000.28371838921.940.684650.42651334281.6061720.28681243811.950.681620.4233874661.6193090.28988843511.960.678610.4202949021.6326110.29294634061.970.675610.41723516981.6460800.29598612231.980.672620.41420779761.6597170.29900775481.990.669640.41121232261.6735230.302011219Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M2.000.666670.40824829051.6875000.30499650262.010.663710.40531525571.7016490.30796359882.020.660760.40241278091.7159710.31091250672.030.657830.39954043691.7304670.3138432312.040.654910.39669780241.7451390.31675578152.050.652000.39388446381.7599890.3196501732.060.649100.39110001521.7750170.32252642492.070.646210.38834405791.7902250.32538456142.080.643340.38561620061.8056140.32822461092.090.640470.38291605871.8211870.33104660582.100.637620.38024325481.8369440.33385058272.110.634780.37759741811.8528860.33663658152.120.631950.37497818441.8690160.33940464612.130.629140.37238519591.8853340.34215482362.140.626330.3698181011.9018430.34488716422.150.623540.36727655441.9185430.34760172132.160.620760.36476021651.9354370.35029855122.170.617990.3622687541.9525250.3529777132.180.615230.35980183891.9698100.35563926822.190.612490.35735914921.9872920.35828328092.200.609760.35494036792.0049750.36090981782.210.607040.35254518392.0228580.36351894742.220.604330.3501732912.0409440.36611074062.230.601630.34782438832.0592340.36868527022.240.598950.34549817972.0777310.3712426112.250.596270.34319437442.0964350.37378283922.260.593610.34091268622.1153490.37630603322.270.590960.33865283352.1344730.37881227262.280.588330.33641453952.1538110.38130163862.290.585700.33419753192.1733630.38377421382.300.583090.33200154272.1931310.38623008222.310.580490.32982630852.2131170.38866932892.320.577900.32767156992.2333230.39109204012.330.575320.32553707172.2537510.39349830322.340.572760.32342256292.2744010.39588820662.350.570210.32132779642.2952770.39826183952.360.567670.3192525292.3163810.4006192922.370.565140.31719652132.3377120.4029606552.380.562620.31515953792.3592750.40528602032.390.560110.31314134682.3810700.407595481.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.00000001.2000000.0000000M0.0000000.00000001.2000000.00000002.40.557620.31114171972.4031000.40988912732.410.555140.3091604322.4253660.41216705542.420.552670.30719726232.4478700.41442935852.430.550210.30525199282.4706150.4166761312.440.547770.3033244092.4936020.41890746772.450.545330.30141429972.5168320.42112346392.460.542910.29952145672.5403090.42332421512.470.540500.29764567532.5640350.42550981722.480.538100.29578675362.5880100.4276803662.490.535710.29394449292.6122370.4298359582.50.533330.29211869732.6367190.43197668942.510.530970.29030917412.6614570.43410265682.520.528620.28851573332.6864530.43621395682.530.526270.28673818762.7117090.43831068612.540.523940.28497635262.7372280.44039294122.550.521630.28323004662.7630120.44246081892.560.519320.28149909052.7890630.44451441572.570.517020.27978330792.8153820.44655382832.580.514740.27808252492.8419720.44857915312.590.512470.27639657022.8688360.45059048642.60.510200.27472527472.8959750.45258792452.610.507950.27306847212.9233920.45457156332.620.505710.27142599832.9510890.45654149882.630.503490.26979769142.9790680.45849782652.640.501270.26818339213.0073310.4604406422.650.499060.26658294313.0358810.46237004032.660.496870.26499618963.0647200.46428611642.670.494690.26342297863.0938500.4661889652.680.492510.26186315953.1232740.46807868022.690.490350.26031658393.1529930.46995535622.70.488200.25878310513.1830110.47181908662.710.486060.25726257883.2133290.47366996482.720.483930.25575486253.2439510.47550808372.730.481820.25425981573.2748780.47733353612.740.479710.25277729993.3061130.4791464142.750.477610.25130717843.3376580.48094680932.760.475530.24984931633.3695150.48273481362.770.473450.24840358093.4016880.48451051772.780.471390.24696984083.4341790.48627401242.790.469330.24554796683.4669890.48802538771.2000000.0000000Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M2.80.467290.24413783113.5001230.48976473342.810.465260.24273930783.5335810.49149213882.820.463230.24135227283.5673680.49320769272.830.461220.23997660343.6014840.49491148342.840.459220.23861217863.6359340.49660359882.850.457230.23725887923.6707190.49828412642.860.455250.23591658733.7058420.4999531532.870.453280.23458518683.7413060.5016107652.880.451320.23326456293.7771130.50325704852.890.449370.23195460253.8132660.50489208882.90.447430.23065519383.8497680.50651597092.910.445500.22936622673.8866220.50812877922.920.443580.22808759223.9238290.50973059772.930.441670.22681918313.9613930.51132150962.940.439770.22556089323.9993170.5129015982.950.437880.22431261784.0376030.51447094512.960.436000.22307425384.0762550.51602963282.970.434130.22184569914.1152740.51757774252.980.432260.2206268534.1546640.51911535482.990.430410.21941761614.1944280.52064255023.000.428570.21821789024.2345680.52215940823.100.410680.20672301164.6573110.53677659453.200.393700.19607993915.1209580.55044378313.300.377600.18620860085.6286470.56323191093.400.362320.17703801926.1836990.57520672183.500.347830.16850509276.7896210.58642897743.600.334080.16055356687.4501110.59695472183.700.321030.15313316218.1690660.60683557393.800.308640.14619883048.9505850.616119033.900.296880.13971011869.7989730.62484876614.000.285710.13363062110.7187500.63306493184.100.275100.127927506711.7146520.64080443114.200.265020.122571111312.7916400.64810118734.300.255430.117534580413.9549040.6549863914.400.246310.112793560715.2098670.66148873034.500.237620.108325928516.5621950.66763460324.600.229360.104111552718.0177950.67344831344.700.221480.100132086219.5828280.67895224954.800.213980.09637078221.2637100.6841670495Tabla 2Lnea de Fanno; flujo de un gas perfecto, unidimensional, adiabtico yde rea constante( Calor especfico y peso molecular constantes )k =1.4M4.90.206830.092812331123.0671190.689111750350.200000.089442719125.0000000.693803924960.146340.063757671353.1797840.729875276470.111110.0476190476104.1428570.75280216380.086960.036860489190.1093750.768191612690.069770.0293483635327.1893000.7789851944100.057140.0239045722535.9375000.78683083290.0000000.79MMMMMMMMMM

RAYLEIGH

MBD00068EB7.unknown

MBD00109FEB.unknown

MBD00113F90.unknown

MBD00119774.unknown

MBD0011B582.unknown

MBD001B0D87.unknown

MBD001B0D89.unknown

MBD001B0D8A.unknown

MBD001B0D88.unknown

MBD0011B584.unknown

MBD0011B585.unknown

MBD001B0D86.unknown

MBD0011B583.unknown

MBD00119776.unknown

MBD0011B581.unknown

MBD00119775.unknown

MBD00114B3A.unknown

MBD00119772.unknown

MBD00119773.unknown

MBD00114B3B.unknown

MBD00114B38.unknown

MBD00114B39.unknown

MBD00114B37.unknown

MBD0011376B.unknown

MBD00113F8C.unknown

MBD00113F8E.unknown

MBD00113F8F.unknown

MBD00113F8D.unknown

MBD0011376D.unknown

MBD0011376E.unknown

MBD0011376C.unknown

MBD0010FC19.unknown

MBD0010FC1B.unknown

MBD0011376A.unknown

MBD0010FC1A.unknown

MBD0010FC17.unknown

MBD0010FC18.unknown

MBD0010A06C.unknown

MBD0006CD41.unknown

MBD0007C1AD.unknown

MBD000894A0.unknown

MBD00098278.unknown

MBD00109EF1.unknown

MBD00109F6F.unknown

MBD00109E4E.unknown

MBD00097A38.unknown

MBD00097DB0.unknown

MBD00095456.unknown

MBD00089461.unknown

MBD0008947C.unknown

MBD0008948E.unknown

MBD00089497.unknown

MBD00089485.unknown

MBD0008946A.unknown

MBD00089473.unknown

MBD00089463.unknown

MBD00089408.unknown

MBD00089458.unknown

MBD0008945A.unknown

MBD00089409.unknown

MBD00089406.unknown

MBD00089407.unknown

MBD00089404.unknown

MBD00089405.unknown

MBD00089402.unknown

MBD00089403.unknown

MBD00089401.unknown

MBD0006E237.unknown

MBD0006EDE6.unknown

MBD0006EDE8.unknown

MBD0007240C.unknown

MBD00079AF9.unknown

MBD00071A60.unknown

MBD00071FB0.unknown

MBD0006EDE9.unknown

MBD0006EDE7.unknown

MBD0006EDE4.unknown

MBD0006EDE5.unknown

MBD0006E238.unknown

MBD0006E233.unknown

MBD0006E235.unknown

MBD0006E236.unknown

MBD0006E234.unknown

MBD0006CD43.unknown

MBD0006CD44.unknown

MBD0006CD42.unknown

MBD0006BAAA.unknown

MBD0006BAAE.unknown

MBD0006CD3F.unknown

MBD0006CD40.unknown

MBD0006BAAF.unknown

MBD0006BAAC.unknown

MBD0006BAAD.unknown

MBD0006BAAB.unknown

MBD0006AEDF.unknown

MBD0006AEE1.unknown

MBD0006AEE2.unknown

MBD0006AEE0.unknown

MBD0006AEDD.unknown

MBD0006AEDE.unknown

MBD00068EB8.unknown

MBD000493FE.unknown

MBD000498A2.unknown

MBD00049B03.unknown

MBD0004A033.unknown

MBD00068EB3.unknown

MBD00068EB5.unknown

MBD00068EB6.unknown

MBD00068EB4.unknown

MBD0005E90E.unknown

MBD0005E910.unknown

MBD0005E911.unknown

MBD0005E90F.unknown

MBD0005E90A.unknown

MBD0005E90C.unknown

MBD0005E90D.unknown

MBD0005E90B.unknown

MBD0004C7F5.unknown

MBD0004CB88.unknown

MBD0005E909.unknown

MBD0004A24E.unknown

MBD00049B07.unknown

MBD00049B09.unknown

MBD00049DA7.unknown

MBD00049B08.unknown

MBD00049B05.unknown

MBD00049B06.unknown

MBD00049B04.unknown

MBD000499F2.unknown

MBD000499F6.unknown

MBD00049B01.unknown

MBD00049B02.unknown

MBD000499F7.unknown

MBD000499F4.unknown

MBD000499F5.unknown

MBD000499F3.unknown

MBD000498A6.unknown

MBD000499F0.unknown

MBD000499F1.unknown

MBD000499EF.unknown

MBD000498A4.unknown

MBD000498A5.unknown

MBD000498A3.unknown

MBD00049668.unknown

MBD00049780.unknown

MBD0004989E.unknown

MBD000498A0.unknown

MBD000498A1.unknown

MBD0004989F.unknown

MBD00049782.unknown

MBD00049783.unknown

MBD00049781.unknown

MBD0004977C.unknown

MBD0004977E.unknown

MBD0004977F.unknown

MBD0004977D.unknown

MBD0004966A.unknown

MBD0004977B.unknown

MBD00049669.unknown

MBD0004953E.unknown

MBD00049664.unknown

MBD00049666.unknown

MBD00049667.unknown

MBD00049665.unknown

MBD00049662.unknown

MBD00049663.unknown

MBD0004953F.unknown

MBD0004953A.unknown

MBD0004953C.unknown

MBD0004953D.unknown

MBD0004953B.unknown

MBD00049538.unknown

MBD00049539.unknown

MBD00049537.unknown

MBD00049043.unknown

MBD000492C2.unknown

MBD000493F6.unknown

MBD000493FA.unknown

MBD000493FC.unknown

MBD000493FD.unknown

MBD000493FB.unknown

MBD000493F8.unknown

MBD000493F9.unknown

MBD000493F7.unknown

MBD000492C6.unknown

MBD000492C8.unknown

MBD000492C9.unknown

MBD000492C7.unknown

MBD000492C4.unknown

MBD000492C5.unknown

MBD000492C3.unknown

MBD00049198.unknown

MBD0004919C.unknown

MBD0004919E.unknown

MBD000492C1.unknown

MBD0004919D.unknown

MBD0004919A.unknown

MBD0004919B.unknown

MBD00049199.unknown

MBD00049047.unknown

MBD00049196.unknown

MBD00049197.unknown

MBD00049048.unknown

MBD00049045.unknown

MBD00049046.unknown

MBD00049044.unknown

MBD00048AF3.unknown

MBD00048D8B.unknown

MBD00048EC6.unknown

MBD00048ECA.unknown

MBD00049041.unknown

MBD00049042.unknown

MBD00049040.unknown

MBD00048EC8.unknown

MBD00048EC9.unknown

MBD00048EC7.unknown

MBD00048EC2.unknown

MBD00048EC4.unknown

MBD00048EC5.unknown

MBD00048EC3.unknown

MBD00048D8D.unknown

MBD00048D8E.unknown

MBD00048D8C.unknown

MBD00048C40.unknown

MBD00048D87.unknown

MBD00048D89.unknown

MBD00048D8A.unknown

MBD00048D88.unknown

MBD00048C42.unknown

MBD00048D86.unknown

MBD00048C41.unknown

MBD00048C3C.unknown

MBD00048C3E.unknown

MBD00048C3F.unknown

MBD00048C3D.unknown

MBD00048C3A.unknown

MBD00048C3B.unknown

MBD00048AF4.unknown

MBD0004895A.unknown

MBD00048962.unknown

MBD00048AEF.unknown

MBD00048AF1.unknown

MBD00048AF2.unknown

MBD00048AF0.unknown

MBD00048AED.unknown

MBD00048AEE.unknown

MBD00048AEC.unknown

MBD0004895E.unknown

MBD00048960.unknown

MBD00048961.unknown

MBD0004895F.unknown

MBD0004895C.unknown

MBD0004895D.unknown

MBD0004895B.unknown

MBD000479CF.unknown

MBD000479D3.unknown

MBD000479D5.unknown

MBD000479D6.unknown

MBD000479D4.unknown

MBD000479D1.unknown

MBD000479D2.unknown

MBD000479D0.unknown

MBD00029A06.unknown

MBD000476F0.unknown

MBD000476F2.unknown

MBD000479CE.unknown

MBD000476F1.unknown

MBD000476EC.unknown

MBD000476EE.unknown

MBD000476EF.unknown

MBD000476ED.unknown

MBD00029D1D.unknown

MBD000476EB.unknown

MBD000476EA.unknown

MBD00029B59.unknown

MBD000194CC.unknown

MBD00029796.unknown

MBD0002980B.unknown

MBD000296AB.unknown

MBD00018F68.unknown

MBD00019262.unknown

MBD000193CD.unknown

MBD000190A4.unknown

MBD00008A04.unknown

MBD000185B2.unknown

MBD000187BC.unknown

MBD0001812E.unknown

MBD00015361.unknown