fea/fem units1 fea / fem 単位（unit）換算表...

FEA/FEM Units 単位換算ガイド

Structural Science

目次

目次 ............................................................................................................................................................. ii

FEA / FEM 単位θUnitχ換算表 .............................................................................................................. 1

構造θ力学χ解析埼使用さ参傘典型的作材料特性例θSI系χ ............................................................ 4

罪昨他昨物理解析問題埼使用さ参傘特性 .............................................................................................. 4

参照文献 ............................................................................................................................................. 5

物体昨物理的性質一覧 ....................................................................................................................... 6

SI単位換算表 ..................................................................................................................................... 7

FEM 物理特性視実タベ実旨 ..................................................................................................................... 8

解析タ使寺質視実タベ実旨 .................................................................................................................... 8

Convection Heat Transfer&Coef ...................................................................................................... 9

Capacity ........................................................................................................................................... 10

Circular Profiles .............................................................................................................................. 11

Thermal Conductivity .................................................................................................................... 20

Emissivity ....................................................................................................................................... 23

Expansion Coefficient ..................................................................................................................... 24

Modulus of Elasticity ...................................................................................................................... 25

Viscosity ........................................................................................................................................... 28

Plastic Flow ..................................................................................................................................... 29

1

FEA / FEM 単位θUnitχ換算表

有限要素法解析埼使用さ参傘主作 4肴昨単位系燦以下昨表削示裁ま際甑

SI

m, kg, s, A, K

MMGS

mm, g, s

FPS

ft, lbF, s

IPS

in, lbF, s

Displacement

Length m mm ft in

Force

Moment per length

(MomentU, etc.)

Shear force

N

kg.m/s2

μN

g.mm/s2 lb

Mass kg g slug

lb.s2/ft

slinch

lb.s2/in

Pressure

Stress

Force per area

Young’s modulus

Shear modulus

Shear flexibility

Energy density

Pa

J/m3

kg.m-1s-2

g.mm-1s-2

lb/ft2 psi

lb/in2

Density kg/m3 g/mm3 slug/ft3

lb.s2/ft4

slinch/in3

lb.s2/in4

Area density kg/m2 g/mm2 slug/ft2

lb.s2/ft3

slinch/in2

lb.s2/in3

Moment

Torsion

N.m

kg.m2/s2

μN.mm

g.mm2/s2 ft.lb in.lb

Shear force per length

(ShearUW, etc.)

Force per length

Tension per length

Spring constant

N/m

kg/s2

μN/mm

g/s2 lb/ft lb/in

Area m2 mm2 ft2 in2

Velocity

Speed

Darcy constant

m/s mm/s ft/s in/s

Angular velocity radian/s

Acceleration m/s2 mm/s2 ft/s2 in/s2

Heat transfer rate W nW ft.lb/s in.lb/s

2

kg.m2s-3 g.mm2s-3

Rotational inertia kg.m2 g.mm2 slug.ft2

lb.ft.s2 lb.in.s2

Pressure gradient

(dP/dX)

Pa/m

kg.s-2m-2

Pa/mm

g.s-2mm-2 lb/ft3 lb/in3

Heat flux W/m2

kg.s-3

nW/mm2

g.s-3 lb.s-1ft-1 lb.s-1in-1

Power density

Internal heat source

W/m3

nW/mm3

kg.s-3m-1

g.s-3mm-1

lb.s-1ft-2 lb.s-1in-2

Damping coefficient Ns/m

kg/s

μNs/mm

g/s

slug/s

lb.s/ft lb.s/in

Flow rate m3/s mm3/s ft3/s in3/s

Stream function

Velocity potential m2/s mm2/s ft2/s in2/s

Specific storage m-1 mm-1 ft-1 in-1

Vorticity

Flow rate per volume s-1

Viscosity

Pa.s

kg.m-1s-1

g.mm-1s-1

slug.ft-1s-1

lb.s/ft2 lb.s/in2

Consistency index K

Pa.sn

Nsn/m2

kg.sn-2m-1

g.sn-2mm-1

lb.sn/ft2 lb.sn/in2

no

radiation*

no

radiation* no radiation* no radiation*

Temperature °C K °C K °C °F °C °F

Heat transfer

coefficient

W.m-2K-1

kg.s-3K-1

nW.mm-2K-1

g.s-3K-1 lb.s-1ft-1K-1 lb.s-1ft-1°F-1 lb.s-1in-1K-1 lb.s-1in-1°F-1

Stefan-Boltzmann

constant

Wm-2K-4

kg.s-3K-4 nW.mm-2K-4 lb.s-1ft-1K-4 n/a lb.s-1in-1K-4 n/a

Thermal expansion

coefficient K-1 K-1 °F-1 K-1 °F-1

Thermal

conductivity

W.m-1K-1

kg.m.s-3K-1 nW.mm-1K-1 lb.s-1K-1 lb.s-1°F-1 lb.s-1K-1 lb.s-1°F-1

Specific heat J.kg-1K-1

m2K-1s-2 nJ.g-1K-1 ft2s-2K-1 ft2s-2°F -1 in2s-2K-1 in2s-2°F -1

3

Voltage V

m2kg.s-3A-1

nV

mm2g.s-3A-1

Electric current A

Electric charge C

A.s

Current density A/m2 A/mm2

Electric field V/m

m.kg.s-3 A-1

nV/mm

mm.g.s-3A-1

Electric flux density C/m2

A.s/m2

C/mm2

A.s/mm2

Magnetic potential

Magnetic flux lines

Wb/m

m.kg.s-2 A-1

nV.s/mm

mm.g.s-2A-1

Magnetic flux density

B

T

kg.s-2 A-1

mT

g.s-2A-1

Magnetic field intensity

H A/m A/mm

Charge density C/m3

A.s.m-3

C/mm3

A.s.mm-3

Current source per

volume A/m3 A/mm3

Absolute

permittivity

F/m

m-3kg-1s4A2

GF/mm

mm-3g-1s4A2

Absolute

permeability

H/m

m.kg.s-2A-2

nH/mm

mm.g.s-2A-2

Electrical

conductivity

S/m

m-3kg-1s3A2

GS/mm

mm-3g-1s3A2

Resistance Ω

m2kg.s-3A-2

nΩ

mm2g.s-3A-2

Rotation angle (DOF)

Twist angle (frame elements) radian

Node transform angle

Angle for principal stress °

Height gradient (dZ/dX)

Emissivity

Poisson ratio

Flow behaviour index n

dimensionless

θ注χMecway/LISA削よ傘放射熱伝導燦計算際傘場合腰温度単位昨℃朔 K削換算さ参腰罪昨内部温度削

朔腰273.15歳加算さ参ま際甑裁冴歳榊崎腰熱放射温度昨単位削朔腰℃燦指定裁崎く坂さい甑

4

構造θ力学χ解析で使用さ参傘典型的な材料特性例θSI系χ

Steel昨耳ング率碕質量密度

長さ昨単位 Young-modulus Density

mm 210000 N/mm2 7.8e-9 t/mm3

cm 2.1e7 N/cm2 7.8e-3 kg/cm3

m 2.1e11 N/m2 7.8e3 kg/m3

Alminum昨耳ング率碕質量密度

長さ昨単位 Young-modulus Density

mm 70000 N/mm2 2.7e-9 t/mm3

cm 7.0e6 N/cm2 2.7e-3 Kg/cm3

m 7.0e10 N/m2 2.7e3 kg/m3

その他の物理解析問題で使用さ参傘特性

文献[1]腰[3]削よ参柵腰熱解析や流体解析埼使用際傘定常状態昨児伺実識詩要素朔腰電磁場解析問題削雑使

用際傘こ碕歳埼済ま際甑次昨表埼朔腰熱流昨児伺実識詩値や児伺実識詩特性碕等価作電磁界児伺実識詩値や

特性削関際傘主作関係燦示裁ま際甑

解析タ使寺児伺実ル詩変数主要係数係数 C 備考θ補係数χ

熱伝導解析

θHeat Conductionχ

温度

θTemperatureχ

熱伝導率

θThermal

Conductivityχ

比熱

θRate of Internal

Heatχ

境界熱θBoundary

heat generationχ, 対

流熱伝達率

θconvection heat

transfer coefficientχ

浸出児ロ実

θSeepage Flowχ

圧力

θPressure

Potentialsχ

透過率

θPermaeability

coefficientsχ

内部源児ロ実

θInternal source

flowχ

-

寺式枝痔シ而児詞昨

搾載参

θTorsion of

prismatic shaftsχ

応力

θStress functionχ

1/G

θG : せ珊断係数χ

c = 2 *

θ長さ削対際傘搾載

参角χ

-

5

非回転理想流体

θIrrotational flow of

ideal fluidsχ

流体速度

θVelocity potential

of stream functionχ

- c=0

境界速度

θboundary

velocityχ

静電場

θElectrostatic

Fieldsχ

電解強度

θElectric force field

intensityχ

誘電率

θPermitivitiesχ

内部電流ソ実旨

θInternal current

sourceχ

-

静磁場

θMagnetostaticχ

磁力

θMagneto-motive

forceχ

透磁率

θMagnetic

permeabilitiesχ

内部磁場ソ実旨

θInternal magnetic

field sourceχ

外部磁界強度

θExternally applied

magnetic field

intensityχ

電位分布

θDistribution of

electric potentialχ

電圧

θVoltageχ

比誘電率

θSpecific

Conductivityχ

内部電流ソ実旨

θInternal current

sourceχ

外部境界電流

θExternally applied

boundary currentχ

文献［1］：典型的作定常児伺実識詩問題歳解説さ参崎いま際甑

文献［2］：2D磁場解析問題削肴い崎解説さ参崎いま際甑

参照文献

[1] The Finite Element Method in Engineering

second edition

S.S.RAO

PERGAMON PRESS 1989

ISBN 0-08-033419-9

[2] K,mmel/Franek/Recke

Einfuehrung in die Methode der finiten Elemente

2. Auflage

Carl Hanser Verlag Muenchen Wien 1990

[3] Klaus Juergen Bathe

Finite-Elemente-Methoden

Springer Verlag 1990

ISBN 3-540-15602-X

6

物体の物理的性質一覧

https://www.ohm.jp/media/tech_cooling204.pdf 参照

7

SI単位換算表

https://www.ohm.jp/media/tech_cooling205.pdf 参照

https://www.ohm.jp/media/tech_cooling205.pdf

8

FEM 物理特性視実タ持実旨

解析タ使寺質視実タ持実旨

FEM物理特性視実タベ実旨碕裁崎腰有限要素法解析埼取三扱う主作材料特性燦示裁ま際甑ま冴腰材料特性

視実タベ実旨削新裁い材料特性視実タ燦追加際傘冴薩削使用際傘こ碕歳埼済ま際甑至実字識閲覧際傘削朔腰

罪参財参昨材料特性至実字識(熱伝達率腰熱伝導率腰弾力作鷺昨係数)燦選択裁崎く坂さい甑

材料特性/物理特性至実字ル参照時実施/サ使詞

対流熱/伝達係数 Convection Heat Transfer&Coef

熱容量/密度 Capacity

軸対称示視識昨慣性示実磁ン詞 Circular Profiles

熱伝導/熱/伝達係数 Thermal Conductivity

放射熱/伝達係数 Emissivity

膨張係数 Expansion Coefficient

弾性係数腰密度 Modulus of Elasticity

粘性係数 Viscosity

塑性児ロ実係数 Plastic Flow

※ 罪参財参昨視実タベ実旨質児ァ使識昨材料特性燦修正/追加裁腰利用裁崎く坂さい甑

9

Convection Heat Transfer&Coef

Material / apparatus Alpha 1 in W / m2K Alpha 2 in W / m2K

Evaporator between firegas and wall / Verdampfer zw.

Feuergas u. Wand

23 58

Evaporator between wall and water/ Verdampfer zw. Wand u.

Wasser

58000 117000

Superheater between tubewall and firegas or steam /

Ueberhitzer zw. Rohrwand u. Feuergas o. Dampf

35 58

Air heater between plate and air or firegas / Lufterhitzer zw.

Blechwand u. Luft o. Feuergas

12 23

Water preheater between firegas and tubewall /

Wasservorwamer zw. Feuergas u. Rohrwand

17 35

Water preheater between tubewall and water / Wasservorwamer

zw. Rohrwand u. Wasser

58000 92000

10

Capacity

Material Temp1 Temp2 Specific heat cpacity J/kgK Density kg / dm3

Aluminium 0 100 896 2.7

Concrete / Beton 0 100 1005 2.13

Lead / Blei 0 100 130 11.4

Oak / Eiche 0 100 2390 0.8

Ice / Eis 0 100 2050 0.92

Iron (steel) / Eisen (Stahl) 0 100 450 7.8

Pine-wood / Fichtenholz 0 100 2720 0.5

Glass 0 100 796 2.55

Graphite 0 100 870 2.26

Cast iron / Gusseisen 0 100 544 7.25

Infasorial earth / Kieselgur 0 100 870 2

Cork / Kork 0 100 2010 0.2

Copper / Kupfer 0 100 390 8.96

Marble / Marmor 0 100 870 2.2

CuZn 0 100 386 8.5

Nickel 0 100 444 8.9

Platinum 0 100 134 21.4

Crystal / Quarzglas 0 100 725 2.65

Quick silver / Quecksilber 0 100 138 13.55

Sandstone / Sandstein 0 100 920 2.2

Silver / Silber 0 100 234 10.5

Stoneware / Steinzeug 0 100 773 2.5

Brick stone / Ziegelstein 0 100 920 2.5

Alcohol / Alkohol 0 100 2430 0.8

Acetone 0 100 2300 0.791

Benzol 0 100 1840 0.83

Glycerin 0 100 2430 1.26

Machine oil / Maschinenoel 0 100 1675 0.91

Petroleum 0 100 2093 0.81

H2SO4 0 100 1380 1.84

Water / Wasser 0 100 4187 1

11

Circular Profiles

Diameter mm Surface mm2 Momentofinertia

for x axis mm4

Momentofinertia y

axis mm4

Momentofinertia

for torsion mm4

5 19.63437 30.67871 30.67871 61.35742

5.5 23.75759 44.9167 44.9167 89.8334

6 28.2735 63.61538 63.61538 127.2308

6.5 33.18209 87.62147 87.62147 175.2429

7 38.48338 117.8553 117.8553 235.7107

7.5 44.17735 155.311 155.311 310.6219

8 50.264 201.056 201.056 402.112

8.5 56.74334 256.2317 256.2317 512.4633

9 63.61538 322.0528 322.0528 644.1057

9.5 70.8801 399.808 399.808 799.616

10 78.5375 490.8594 490.8594 981.7188

10.5 86.58759 596.6426 596.6426 1193.285

11 95.03037 718.6672 718.6672 1437.334

11.5 103.8658 858.5161 858.5161 1717.032

12 113.094 1017.846 1017.846 2035.692

12.5 122.7148 1198.387 1198.387 2396.774

13 132.7284 1401.943 1401.943 2803.887

13.5 143.1346 1630.392 1630.392 3260.785

14 153.9335 1885.685 1885.685 3771.371

14.5 165.1251 2169.847 2169.847 4339.694

15 176.7094 2484.976 2484.976 4969.951

15.5 188.6863 2833.243 2833.243 5666.487

16 201.056 3216.896 3216.896 6433.792

16.5 213.8183 3638.253 3638.253 7276.505

17 226.9734 4099.707 4099.707 8199.413

17.5 240.5211 4603.724 4603.724 9207.448

18 254.4615 5152.845 5152.845 10305.69

18.5 268.7946 5749.685 5749.685 11499.37

19 283.5204 6396.928 6396.928 12793.86

19.5 298.6389 7097.339 7097.339 14194.68

20 314.15 7853.75 7853.75 15707.5

12

20.5 330.0538 8669.07 8669.07 17338.14

21 346.3504 9546.282 9546.282 19092.56

21.5 363.0396 10488.44 10488.44 20976.88

22 380.1215 11498.68 11498.68 22997.35

22.5 397.5961 12580.19 12580.19 25160.38

23 415.4634 13736.26 13736.26 27472.52

23.5 433.7234 14970.23 14970.23 29940.46

24 452.376 16285.54 16285.54 32571.07

24.5 471.4214 17685.67 17685.67 35371.33

25 490.8594 19174.19 19174.19 38348.39

25.5 510.6901 20754.76 20754.76 41509.53

26 530.9135 22431.1 22431.1 44862.19

26.5 551.5296 24206.98 24206.98 48413.96

27 572.5384 26086.28 26086.28 52172.56

27.5 593.9398 28072.94 28072.94 56145.88

28 615.734 30170.97 30170.97 60341.93

28.5 637.9208 32384.45 32384.45 64768.9

29 660.5004 34717.55 34717.55 69435.1

29.5 683.4726 37174.5 37174.5 74349

30 706.8375 39759.61 39759.61 79519.22

30.5 730.5951 42477.25 42477.25 84954.51

31 754.7454 45331.89 45331.89 90663.79

31.5 779.2883 48328.05 48328.05 96656.11

32 804.224 51470.34 51470.34 102940.7

32.5 829.5524 54763.42 54763.42 109526.8

33 855.2734 58212.04 58212.04 116424.1

33.5 881.3871 61821.04 61821.04 123642.1

34 907.8935 65595.3 65595.3 131190.6

34.5 934.7926 69539.8 69539.8 139079.6

35 962.0844 73659.59 73659.59 147319.2

35.5 989.7689 77959.76 77959.76 155919.5

36 1017.846 82445.52 82445.52 164891

36.5 1046.316 87122.14 87122.14 174244.3

13

37 1075.178 91994.95 91994.95 183989.9

37.5 1104.434 97069.36 97069.36 194138.7

38 1134.082 102350.9 102350.9 204701.7

38.5 1164.122 107845 107845 215690

39 1194.555 113557.4 113557.4 227114.8

39.5 1225.381 119493.8 119493.8 238987.7

40 1256.6 125660 125660 251320

40.5 1288.211 132061.8 132061.8 264123.6

41 1320.215 138705.1 138705.1 277410.3

41.5 1352.612 145596 145596 291192

42 1385.401 152740.5 152740.5 305481

42.5 1418.584 160144.8 160144.8 320289.6

43 1452.158 167815 167815 335630.1

43.5 1486.126 175757.6 175757.6 351515.2

44 1520.486 183978.8 183978.8 367957.6

44.5 1555.239 192485.1 192485.1 384970.2

45 1590.384 201283 201283 402566

45.5 1625.923 210379.1 210379.1 420758.3

46 1661.854 219780.1 219780.1 439560.3

46.5 1698.177 229492.7 229492.7 458985.4

47 1734.893 239523.7 239523.7 479047.4

47.5 1772.002 249880 249880 499760

48 1809.504 260568.6 260568.6 521137.2

48.5 1847.398 271596.4 271596.4 543192.8

49 1885.685 282970.7 282970.7 565941.3

49.5 1924.365 294698.5 294698.5 589396.9

50 1963.438 306787.1 306787.1 613574.2

50.5 2002.903 319243.9 319243.9 638487.8

51 2042.76 332076.2 332076.2 664152.4

51.5 2083.011 345291.6 345291.6 690583.2

52 2123.654 358897.5 358897.5 717795.1

52.5 2164.69 372901.7 372901.7 745803.3

53 2206.118 387311.7 387311.7 774623.3

14

53.5 2247.94 402135.3 402135.3 804270.6

54 2290.154 417380.5 417380.5 834760.9

54.5 2332.76 433055 433055 866110.1

55 2375.759 449167 449167 898334

55.5 2419.151 465724.4 465724.4 931448.9

56 2462.936 482735.5 482735.5 965470.9

56.5 2507.113 500208.3 500208.3 1000417

57 2551.683 518151.2 518151.2 1036302

57.5 2596.646 536572.6 536572.6 1073145

58 2642.001 555480.8 555480.8 1110962

58.5 2687.75 574884.4 574884.4 1149769

59 2733.89 594792 594792 1189584

59.5 2780.424 615212.3 615212.3 1230425

60 2827.35 636153.8 636153.8 1272308

60.5 2874.669 657625.4 657625.4 1315251

61 2922.38 679636.1 679636.1 1359272

61.5 2970.485 702194.7 702194.7 1404389

62 3018.981 725310.3 725310.3 1450621

62.5 3067.871 748991.9 748991.9 1497984

63 3117.153 773248.9 773248.9 1546498

63.5 3166.828 798090.3 798090.3 1596181

64 3216.896 823525.4 823525.4 1647051

64.5 3267.356 849563.7 849563.7 1699127

65 3318.209 876214.7 876214.7 1752429

65.5 3369.455 903487.8 903487.8 1806976

66 3421.094 931392.7 931392.7 1862785

66.5 3473.125 959939.1 959939.1 1919878

67 3525.548 989136.7 989136.7 1978273

67.5 3578.365 1018995 1018995 2037991

68 3631.574 1049525 1049525 2099050

68.5 3685.176 1080735 1080735 2161471

69 3739.17 1112637 1112637 2225274

69.5 3793.558 1145240 1145240 2290479

15

70 3848.337 1178553 1178553 2357107

70.5 3903.51 1212589 1212589 2425178

71 3959.075 1247356 1247356 2494712

71.5 4015.033 1282866 1282866 2565732

72 4071.384 1319128 1319128 2638257

72.5 4128.127 1356154 1356154 2712309

73 4185.263 1393954 1393954 2787909

73.5 4242.792 1432539 1432539 2865078

74 4300.713 1471919 1471919 2943839

74.5 4359.028 1512106 1512106 3024212

75 4417.734 1553110 1553110 3106220

75.5 4476.834 1594942 1594942 3189884

76 4536.326 1637614 1637614 3275227

76.5 4596.211 1681136 1681136 3362272

77 4656.488 1725520 1725520 3451040

77.5 4717.159 1770777 1770777 3541554

78 4778.222 1816919 1816919 3633838

78.5 4839.677 1863956 1863956 3727913

79 4901.525 1911901 1911901 3823803

79.5 4963.766 1960765 1960765 3921531

80 5026.4 2010560 2010560 4021120

80.5 5089.426 2061297 2061297 4122595

81 5152.845 2112989 2112989 4225978

81.5 5216.657 2165646 2165646 4331293

82 5280.861 2219282 2219282 4438564

82.5 5345.458 2273908 2273908 4547816

83 5410.448 2329536 2329536 4659073

83.5 5475.831 2386179 2386179 4772358

84 5541.606 2443848 2443848 4887697

84.5 5607.774 2502557 2502557 5005114

85 5674.334 2562317 2562317 5124633

85.5 5741.288 2623141 2623141 5246281

86 5808.633 2685041 2685041 5370082

16

86.5 5876.372 2748030 2748030 5496061

87 5944.503 2812122 2812122 5624243

87.5 6013.027 2877328 2877328 5754655

88 6081.944 2943661 2943661 5887322

88.5 6151.253 3011135 3011135 6022269

89 6220.956 3079762 3079762 6159524

89.5 6291.05 3149555 3149555 6299111

90 6361.538 3220528 3220528 6441057

90.5 6432.417 3292694 3292694 6585389

91 6503.69 3366066 3366066 6732133

91.5 6575.356 3440658 3440658 6881316

92 6647.414 3516482 3516482 7032964

92.5 6719.865 3593553 3593553 7187106

93 6792.708 3671884 3671884 7343767

93.5 6865.945 3751488 3751488 7502976

94 6939.574 3832380 3832380 7664759

94.5 7013.595 3914572 3914572 7829145

95 7088.009 3998080 3998080 7996161

95.5 7162.816 4082917 4082917 8165835

96 7238.016 4169097 4169097 8338195

96.5 7313.608 4256635 4256635 8513269

97 7389.593 4345543 4345543 8691085

97.5 7465.971 4435837 4435837 8871673

98 7542.742 4527531 4527531 9055061

98.5 7619.905 4620639 4620639 9241277

99 7697.46 4715176 4715176 9430351

99.5 7775.409 4811156 4811156 9622311

100 7853.75 4908594 4908594 9817187

100.5 7932.484 5007505 5007505 1.001501E+07

101 8011.61 5107903 5107903 1.021581E+07

101.5 8091.129 5209803 5209803 1.041961E+07

102 8171.042 5313220 5313220 1.062644E+07

102.5 8251.346 5418169 5418169 1.083634E+07

17

103 8332.043 5524666 5524666 1.104933E+07

103.5 8413.134 5632724 5632724 1.126545E+07

104 8494.616 5742361 5742361 1.148472E+07

104.5 8576.491 5853590 5853590 1.170718E+07

105 8658.76 5966427 5966427 1.193285E+07

105.5 8741.42 6080887 6080887 1.216177E+07

106 8824.474 6196987 6196987 1.239397E+07

106.5 8907.92 6314741 6314741 1.262948E+07

107 8991.759 6434165 6434165 1.286833E+07

107.5 9075.99 6555276 6555276 1.311055E+07

108 9160.614 6678088 6678088 1.335618E+07

108.5 9245.631 6802618 6802618 1.360524E+07

109 9331.04 6928881 6928881 1.385776E+07

109.5 9416.843 7056894 7056894 1.411379E+07

110 9503.037 7186672 7186672 1.437334E+07

110.5 9589.625 7318233 7318233 1.463647E+07

111 9676.605 7451591 7451591 1.490318E+07

111.5 9763.979 7586764 7586764 1.517353E+07

112 9851.744 7723768 7723768 1.544754E+07

112.5 9939.902 7862618 7862618 1.572524E+07

113 10028.45 8003333 8003333 1.600667E+07

113.5 10117.4 8145928 8145928 1.629186E+07

114 10206.73 8290420 8290420 1.658084E+07

114.5 10296.46 8436825 8436825 1.687365E+07

115 10386.58 8585161 8585161 1.717032E+07

115.5 10477.1 8735445 8735445 1.747089E+07

116 10568.01 8887693 8887693 1.777539E+07

116.5 10659.31 9041923 9041923 1.808385E+07

117 10751 9198151 9198151 1.83963E+07

117.5 10843.08 9356395 9356395 1.871279E+07

118 10935.56 9516672 9516672 1.903334E+07

118.5 11028.43 9679000 9679000 1.9358E+07

119 11121.7 9843396 9843396 1.968679E+07

18

119.5 11215.35 1.000988E+07 1.000988E+07 2.001975E+07

120 11309.4 1.017846E+07 1.017846E+07 2.035692E+07

120.5 11403.84 1.034916E+07 1.034916E+07 2.069833E+07

121 11498.68 1.052201E+07 1.052201E+07 2.104401E+07

121.5 11593.9 1.069701E+07 1.069701E+07 2.139401E+07

122 11689.52 1.087418E+07 1.087418E+07 2.174835E+07

122.5 11785.53 1.105354E+07 1.105354E+07 2.210708E+07

123 11881.94 1.123512E+07 1.123512E+07 2.247023E+07

123.5 11978.74 1.141892E+07 1.141892E+07 2.283783E+07

124 12075.93 1.160497E+07 1.160497E+07 2.320993E+07

124.5 12173.51 1.179328E+07 1.179328E+07 2.358655E+07

125 12271.48 1.198387E+07 1.198387E+07 2.396774E+07

125.5 12369.85 1.217677E+07 1.217677E+07 2.435353E+07

126 12468.61 1.237198E+07 1.237198E+07 2.474396E+07

126.5 12567.77 1.256953E+07 1.256953E+07 2.513907E+07

127 12667.31 1.276944E+07 1.276944E+07 2.553889E+07

127.5 12767.25 1.297173E+07 1.297173E+07 2.594346E+07

128 12867.58 1.317641E+07 1.317641E+07 2.635281E+07

128.5 12968.31 1.33835E+07 1.33835E+07 2.676699E+07

129 13069.43 1.359302E+07 1.359302E+07 2.718604E+07

129.5 13170.94 1.380499E+07 1.380499E+07 2.760998E+07

130 13272.84 1.401944E+07 1.401944E+07 2.803887E+07

130.5 13375.13 1.423637E+07 1.423637E+07 2.847273E+07

131 13477.82 1.445581E+07 1.445581E+07 2.891161E+07

131.5 13580.9 1.467777E+07 1.467777E+07 2.935554E+07

132 13684.37 1.490228E+07 1.490228E+07 2.980457E+07

132.5 13788.24 1.512936E+07 1.512936E+07 3.025872E+07

133 13892.5 1.535903E+07 1.535903E+07 3.071805E+07

133.5 13997.15 1.559129E+07 1.559129E+07 3.118259E+07

134 14102.19 1.582619E+07 1.582619E+07 3.165237E+07

134.5 14207.63 1.606372E+07 1.606372E+07 3.212745E+07

135 14313.46 1.630393E+07 1.630393E+07 3.260785E+07

135.5 14419.68 1.654681E+07 1.654681E+07 3.309362E+07

19

136 14526.3 1.67924E+07 1.67924E+07 3.35848E+07

136.5 14633.3 1.704071E+07 1.704071E+07 3.408142E+07

137 14740.7 1.729177E+07 1.729177E+07 3.458353E+07

137.5 14848.5 1.754559E+07 1.754559E+07 3.509117E+07

138 14956.68 1.780219E+07 1.780219E+07 3.560438E+07

138.5 15065.26 1.80616E+07 1.80616E+07 3.61232E+07

139 15174.23 1.832383E+07 1.832383E+07 3.664766E+07

139.5 15283.59 1.858891E+07 1.858891E+07 3.717782E+07

140 15393.35 1.885685E+07 1.885685E+07 3.771371E+07

140.5 15503.5 1.912768E+07 1.912768E+07 3.825537E+07

141 15614.04 1.940142E+07 1.940142E+07 3.880284E+07

141.5 15724.97 1.967809E+07 1.967809E+07 3.935617E+07

142 15836.3 1.99577E+07 1.99577E+07 3.99154E+07

142.5 15948.02 2.024028E+07 2.024028E+07 4.048056E+07

143 16060.13 2.052585E+07 2.052585E+07 4.105171E+07

143.5 16172.64 2.081444E+07 2.081444E+07 4.162888E+07

144 16285.54 2.110605E+07 2.110605E+07 4.221211E+07

144.5 16398.83 2.140072E+07 2.140072E+07 4.280145E+07

145 16512.51 2.169847E+07 2.169847E+07 4.339694E+07

145.5 16626.59 2.199931E+07 2.199931E+07 4.399862E+07

146 16741.05 2.230327E+07 2.230327E+07 4.460654E+07

146.5 16855.91 2.261037E+07 2.261037E+07 4.522073E+07

147 16971.17 2.292062E+07 2.292062E+07 4.584125E+07

147.5 17086.81 2.323406E+07 2.323406E+07 4.646813E+07

148 17202.85 2.355071E+07 2.355071E+07 4.710142E+07

148.5 17319.29 2.387058E+07 2.387058E+07 4.774115E+07

20

Thermal Conductivity

Material Temp Conductivity in W / mk

X 6 CrNiMoTi 17 22 (high alloy steel / hochleg.St) 20 15

Aluminium 20 209

Asbestos / Asbest 20 0.08

Asphalt 20 0.69

Bakelite 20 0.22

Concrete / Beton 20 1.28

Lead / Blei 20 35

Duraluminium 20 174

Oak / Eiche, radial 20 0.17

Ice / Eis 0 2.25

Cinder / Zunder 1000 1.64

Window glass / Fensterglas 20 1.17

Pine-wood / Fichtenholz , axial 20 0.23

Pine-wood / Fichtenholz , radial 20 0.12

Gypsum / Gips 20 0.42

Gold 20 310

Graphite 20 140

Rubber (hard) / Hartgummi 20 0.17

Sediment in boilers / Kesselstein , amorph 20 1.1

Sediment in boilers / Kesselstein , gypsum / Gips 20 1.53

Sediment in boilers / Kesselstein , lime / Kalk 20 0.5

Gravel / Kies 20 0.36

Coal / Kohle 20 0.17

Cork / Kork 20 0.05

Leather / Leder 20 0.17

Magnesium 20 142

Marble / Marmor 20 2.92

CuZn 20 104

Mortar / Moertel 20 0.94

Nickel 20 81

Ni-steel / Nickelstahl (30%) 20 11.7

21

Porcellain 20 1.3

Crystal / Quarzglas 20 1.39

Chamotte / Schamottestein 20 0.8

Chamotte / Schamottestein 1000 1.0

Sponge rubber / Schaumgummi 20 0.06

Snow / Schnee 0 0.14

Silver / Silber 20 420

Low alloy steel / niedrigleg. Stahl , (0.1% C) 20 54

Low alloy steel / niedrigleg. Stahl , (0.6% C) 20 42

High alloy steel / hochleg. Stahl , (V 2 A) 20 15

Wall / Mauerwerk 20 0.86

Zn 20 113

Sn 20 66

Copper / Kupfer 20 380

NH3 20 0.5

Alcohol / Drinkalkohol 20 0.19

Acetone / Aceton 20 0.17

Benzine / Benzin 20 0.14

Glycerin 20 0.28

Glycerin with 50% water / m. 50% Wasser 20 0.42

Paraffinoil / Paraffinoel 20 0.13

Quicksilver / Quecksilber 20 9.2

Spindle oils / Spindeloel 20 0.14

Transformer oil / Transformatoroel 20 0.13

Water / Wasser 20 0.61

Xylol 20 0.13

Air / Luft 0 0.023

Air / Luft 200 0.013

Air / Luft 400 0.052

Air / Luft 600 0.062

Air / Luft 800 0.070

Air / Luft 1000 0.078

Argon 0 0.016

22

Argon 200 0.026

Argon 400 0.035

Argon 600 0.043

Argon 800 0.050

Argon 1000 0.058

Vapour / Dampf 0 0.017




23

Emissivity

Material Temp Ratio of emissivity

Black body radiation / schwarzer Koerper 20 1

Aluminium 20 0.08

Aluminium , polished / poliert 20 0.04

Glass 20 0.93

Cast iron without cinder / Gu゚eisen o. Zunder 20 0.42

Copper polished / Kupfer poliert 20 0.045

CuZn polished / poliert 20 0.05

Oil / Oel 20 0.82

Procelain / Prozellan 20 0.92

Steel polished / Stahl poliert 20 0.28

Steel plate zinc coated / verzinktes Stahlblech 20 0.23

Steel plate tin coated / verzinktes Stahlblech 20 0.07

Roofing paper / Dachpappe 20 0.91

24

Expansion Coefficient

Material Temp 1 Temp 2 longitudinal

extension factor 1/K

Aluminium 0 100 0.0000235

Lead / Blei 0 100 0.0000295

Bronze 0 100 0.0000175

Cr-steel / Cr-Stahl 0 100 0.0000115

Glass / Glas 0 100 0.0000090

Gold 0 100 0.0000142

Cast iron / Gusseisen 0 100 0.0000090

Jenaer Glas / Glass 0 100 0.0000045

Low alloy steel / niedrig leg. Stahl 0 100 0.0000120

Plastic / Kunststoff 0 100 0.0000300

Copper / Kupfer 0 100 0.0000165

Magnesium 0 100 0.0000260

Cu Zn 0 100 0.0000184

Nickel 0 100 0.0000141

Platinum 0 100 0.0000089

Porcelain 0 100 0.0000030

PVC 0 100 0.0000781

Crystal 0 100 0.0000060

Widia 0 100 0.0000053

Wolfram 0 100 0.0000045

Sn 0 100 0.0000230

Sn-bronze 0 100 0.0000178

Zn 0 100 0.0000301

X 6 Cr NiMoTi 17 High alloy steel / hochleg. Stahl 0 100 0.0000110

25

Modulus of Elasticity

Material Temperature

in Degree

Youngs-

modulus in

N/mm2

Poisson-ratio Density

1.4571 X 6 CrNiMoTi 17 22 DIN

17458 (high alloy steel)

20 200000 0.3 7.98



100 194000 0.3 7.98



200 186000 0.3 7.98



300 179000 0.3 7.98



400 172000 0.3 7.98



500 165000 0.3 7.98

Niedrig leg. Stahl / Low alloy steel 20 206000 0.3 7.8







St 37 20 210000 0.3 7.8

St 42 20 210000 0.3 7.8

St 50 20 210000 0.3 7.8

St 52 20 210000 0.3 7.8

St 60 20 210000 0.3 7.8

St 70 20 210000 0.3 7.8

50 Cr Mo 4 20 210000 0.3 7.8

20 Mn Cr 5 20 210000 0.3 7.8

Aluminium 20 70000 0.3 2.7

Aluminium 50 69000 0.3 2.7

Aluminium 100 68000 0.3 2.7

Aluminium 150 66000 0.3 2.7

26

Aluminium 200 63000 0.3 2.7

Aluminium 250 57000 0.3 2.7

Al Cu Mg 20 72000 0.3 2.7

SF-Cu -253 138000 0.3 8.92

SF-Cu -195 136000 0.3 8.92

SF-Cu -100 133000 0.3 8.92

SF-Cu 20 128000 0.3 8.92

SF-Cu 50 127000 0.3 8.92

SF-Cu 100 125000 0.3 8.92

SF-Cu 150 122000 0.3 8.92

SF-Cu 200 120000 0.3 8.92

SF-Cu 250 118000 0.3 8.92

CuZn40 / CuZn39Pb0,5 -195 108000 0.3 8.92

CuZn40 / CuZn39Pb0,5 -100 106000 0.3 8.92

CuZn40 / CuZn39Pb0,5 20 105000 0.3 8.92

CuZn40 / CuZn39Pb0,5 50 100000 0.3 8.92

CuZn40 / CuZn39Pb0,5 100 93000 0.3 8.92

CuZn40 / CuZn39Pb0,5 150 91000 0.3 8.92

CuZn40 / CuZn39Pb0,5 200 89000 0.3 8.92

CuZn40 / CuZn39Pb0,5 250 83000 0.3 8.92

CuZn20Al2 20 110000 0.3 8.92

CuZn20Al2 50 110000 0.3 8.92

CuZn20Al2 100 108000 0.3 8.92

CuZn20Al2 150 107000 0.3 8.92

CuZn20Al2 200 106000 0.3 8.92

CuZn20Al2 250 105000 0.3 8.92

GG 12 20 75000 0.3 7.8

GG 14 20 80000 0.3 7.8

GG 18 20 100000 0.3 7.8

GG 22 20 120000 0.3 7.8

GG 26 20 120000 0.3 7.8

GG 30 20 120000 0.3 7.8

GTW 35 20 170000 0.3 7.8

27

GTS 35 20 170000 0.3 7.8

28

Viscosity

Fluid

Temper

a

-ture

in K

Density

in kg/m3

Dynamic

viscosity in

kg/ms

Kinematic

viscosity

in m2/s

Conducti

vity in

W/mK

Diffusion

coefficient

m2/s

Expansion

coefficient

1/K

Prandtl

number

Water 0 999.9 17.87e-4 17.87e-7 0.56 1.33e-7 -0.6e-4 13.44

Water 5 1000 15.14e-4 15.14e-7 0.57 1.36e-7 0.1e-4 11.13

Water 10 999.7 13.04e-4 13.04e-7 0.58 1.38e-7 0.9e-4 9.45

Water 15 999.1 11.37e-4 11.38e-7 0.59 1.40e-7 1.5e-4 8.13

Water 20 998.2 10.02e-4 10.04e-7 0.59 1.42e-7 2.1e-4 7.07

Water 25 997.1 8.91e-4 8.94e-7 0.60 1.44e-7 2.6e-4 6.21

Water 30 995.7 7.98e-4 8.02e-7 0.61 1.46e-7 3.0e-4 5.49

Water 35 994.1 7.20e-4 7.25e-7 0.62 1.49e-7 3.4e-7 4.87

Water 40 992.3 6.54e-4 6.59e-7 0.63 1.52e-7 3.8e-4 4.34

Water 50 988.1 5.48e-4 5.54e-7 0.64 1.55e-7 4.5e-4 3.57

Water 60 983.2 4.67e-4 4.75e-7 0.65 1.58e-7 5.1e-4 3.01

Water 70 977.8 4.05e-4 4.14e-7 0.66 1.61e-7 5.7e-4 2.57

Water 80 971.8 3.55e-4 3.66e-7 0.67 1.64e-7 6.2e-4 2.23

Water 90 965.3 3.16e-4 3.27e-7 0.67 1.65e-7 6.7e-4 1.98

Water 100 958.4 2.83e-4 2.95e-7 0.68 1.66e-7 7.1e-4 1.78

Air -180 3.720 0.65e-5 0.175e-5 0.76e-4 0.19e-5 1.08e-2 0.92

Air -100 2.040 1.16e-5 0.57e-5 1.6e-4 0.76e-5 5.74e-3 0.75

Air -50 1.582 1.45e-5 0.92e-5 - - - -

Air 0 1.293 1.71e-5 1.32e-5 2.4e-4 1.84e-5 3.66e-3 0.72

Air 10 1.247 1.76e-5 1.41e-5 2.5e-4 1.96e-5 3.52e-3 0.72

Air 20 1.205 1.81e-5 1.50e-5 2.5e-4 2.08e-5 3.40e-3 0.72

Air 30 1.165 1.86e-5 1.60e-5 - - - -

Air 60 1.060 2.00e-5 1.88e-5 - - - -

Air 100 0.946 2.18e-5 2.30e-5 3.2e-4 3.28e-5 2.68e-3 0.7

Air 200 0.746 2.58e-5 3.46e-5 - - - -

Air 300 0.616 2.95e-5 4.81e-5 - - - -

Air 500 0.456 3.58e-5 7.85e-5 - - - -

Air 1000 0.277 4.82e-5 17.4e-5 7.6e-4 27.1e-5 7.83e-4 0.64

※ Fluid 碕裁崎腰Water: 1.013e+5 Pa腰Air ：1.013e+5 Pa 碕裁ま際甑

29

Plastic Flow

Polymer type Name Temperature Exponent m Fluidity PHI

PC Makrolon 2800 320 1.06 0.00184

PA 12 Vestamid L2101 200 1.89 0.00000000655

PETP Rynite 935 NC 10 310 2.19 0.00000000941

HDPE Hostalen GM 5010 T2 200 2.26 0.000000000179

PMMA Plexiglas 7 H 220 2.36 0.0000000000232

LDPE Lupolen 1840 D 190 2.76 0.000000000002

PP Vestolen P 5200 200 3.60 0.000000000000000609

PS Polystyrol 168 N 230 4.22 0.000000000000000000764

fea/fem units1 fea / fem 単位（unit）換算表...

Documents