1 melting temperature 1,680 -...

24
Thermal Property Tables TABLE Thermal Properties of Selected Metallic Elements at 293 K (20°C) or (65°F) Specific heat, Thermal conductivity, Diffusivity, a Melting temperature Specific Element gravity x x K " R Aluminum Beryllium Chromium Copper Gold Iron Lead Magnesium Manganese Molybdenum Nickel Platinum Potassium Silicon Silver Tin Titanium Tungsten Uranium Vanadium Zinc 2.702 1.850 7.160 8.933 19.300 7.870 11.340 1.740 10.240 8.900 21 0.860 2.330 5.750 4.500 19.300 19.070 6.100 7.140 896 1 750 383 129 452 129 1017 486 133 741 703 227 611 134 113 502 385 0.214 0.418 0.0308 0.108 0.0308 0.243 0.116 0.107 0.0318 0.168 0.0559 0.0542 0.0320 0.0270 0.120 0.0920 236 205 399 316 91.4 31.1 35.3 156 138 91 71.4 103 153 427 7.78 22.0 27.4 31.4 179 121 136 118 231 183 52.8 18.0 20.4 4.50 79.7 52.6 41.2 59.6 88.4 38.7 12.7 15.8 18.1 69.9 247 103 97.5 63.3 29.0 116.6 126.9 22.8 24.1 88.2 2.2 53.7 22.9 25.0 161.6 93.4 173.8 51.3 8.0 69.2 12.7 10.3 0.681 0.312 1.26 1.37 0.245 0.259 0.949 0.0236 0.246 0.269 1.74 1.01 1.87 0.552 0.0861 0.745 0.137 0.111 0.474 933 1550 2 118 1356 1336 1810 923 1517 2 883 1 726 2042 337 1685 1234 505 1953 3 653 2 192 693 1,680 3,812 2,441 2,405 3,258 1,082 1 1 5,189 3,107 3,676 607 3,033 2,221 909 3,515 6,575 2,533 3,946 1,247 Source: Data from several sources. Notes: Density = = specific gravity x 62.4 = specific gravity x 1 Also, a = Diffusivity= a; for aluminum, a x = a = x

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88.2

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10.3

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81

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70.2

45

0.2

59

0.9

49

0.0

236

0.2

46

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69

1.7

41.0

11.8

70.5

52

0.0

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0.7

45

0.1

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0.1

11

0.4

74

933

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2118

1356

1336

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923

1517

2883

1726

2042

337

1685

1234

505

19

53

3653

2192

693

1,6

80

3,8

12

2,4

41

2,4

05

3,2

58

1,0

82 1 1

5,1

89

3,1

07

3,6

76

607

3,0

33

2,2

21

909

3,5

15

6,5

75

2,5

33

3,9

46

1,2

47

Source:

Dat

afr

om

seve

ralsources.

No

tes:

Densi

ty=

=sp

ecif

icg

rav

ity

x62.4

=sp

ecif

icg

rav

ity

x1

Als

o,a

=

Dif

fusi

vit

y=a;for

alu

min

um

,a

x=

a=

x

TA

BL

EB

.2

Th

erm

al

Pro

pert

ies

of

Sele

cte

dA

llo

ys

at

293

K(20°C)

or

(65°F)

Sp

ecif

ich

eat,

Th

erm

al

con

du

ctiv

ity,

Dif

fusi

vit

y,a

Ba

se m

etal

Co

mp

osi

tio

ngra

vit

yx

x

Alu

min

um

Du

ralu

min

Sil

um

in

Al -

bro

nze

Bro

nze

Red

bra

ssB

rass

Ger

ma

n s

ilv

er

Con

sta

nta

n

Cast

Wro

ught

iro

n

Carb

on

ste

el

Co

pp

er

Iron

Ste

el Ch

rom

e st

eel

Ch

ro

me

Nic

kel

steel

nic

kel

ste

el

chro

me

steel

Man

ga

nes

e

Sil

icon

stee

lS

tain

less

Tu

ng

sten

stee

l

3-5

Cu

.

tr2.7

87

833

164

94.7

7.1

87

Al,

13

Si

871

0.2

08

164

94.7

7.0

99

95

Cu

,5

410

0.0

979

83

47.9

2.3

30

2.5

08

75

Cu

,25

Sn

343

26

15.0

0.9

25

85

Cu

,9

Sn,

6Z

n8.7

14

38.5

0.0

920

61

35.2

1.8

04

1.9

42

70

Cu

,30

8.5

22

385

0.0

920

111

64.1

3.4

12

3.6

73

62

Cu

,15

Ni,

Zn

8.6

18

394

0.0

941

24.9

14.4

60

Cu

,40

Ni

4c

0.5

CH

c1

Cr

5C

r10

Cr

15

Cr,

10

Ni

20

Cr,

15

Ni

10N

iN

i40

Ni

60

Ni

Ni,

15

C40

Ni,

15

C1

Mn

5M

n1

Si

5S

i

347

8.9

22

410

420

7.8

49

7.8

01

473

7.7

53

486

7.8

65

7.8

33

7.7

85

7.8

65

7.8

33

7.9

93

8.1

69

8.3

78

8.5

22

8.0

73

7.8

65

7.8

49

7.7

69

7.4

17

7.8

17

461

7.8

17

461

7.9

13

448

8.0

73

435

0.1

00

0.1

10

0.1

16

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

10

0.1

07

22.7

52

30.0

59

34.1

43

36

20.8

61

35.2

40

23.1

31

17.9

19

11.0

18.7

226 19

11.0

5.7

819

11.0

17

9.8

211.6

6.7

050

28.9

22

4224.3

19

11.0

14.4

8.3

2

14.3

8.2

666

54

0.6

12

1.6

26

1.1

72

0.9

70

0.8

67

0.5

26

0.4

15

0.7

20

0.2

79

0.4

93

0.3

05

1.3

88

0.6

37

1.1

64

0.5

55

0.3

87

1.5

25

1.8

32

1.0

41.7

92

1.1

95

0.9

33

0.5

66

0.3

00

0.5

31

0.4

78

0.3

28

0.686

1.1

64

0.4

17

0.4

17

1.6

42

No

tes:

=p

=sp

ecif

icgra

vit

yx

62.4

=sp

ecif

ic g

ravit

y x

Dif

fusi

vit

y=a;

for

Du

ralu

min

,a

=6.6

76

soa

=

Als

o,a

=

XT

AB

LE

B.3

Th

erm

al

Pro

per

ties

ofS

ele

cte

dB

uil

din

g M

ate

rials

an

d I

nsu

lati

on

s a

t2

93

K(2

0°C

)or

(65

°F)

Sp

ecif

ic h

eat,

T

herm

al

con

du

cti

vit

y,

Dif

fusi

vit

y,

Sp

ecif

ic

Mate

ria

l gravit

y

J/(

K)

xx

Asb

est

os

Asp

halt

Bak

eli

te

Bri

ck Carb

oru

nd

um

Co

mm

on

Magn

esi

te

Maso

nry

Sil

ica

Card

board

Cem

en

t(h

ard

)C

lay

(48.7

%m

ois

t)

Co

al

(an

thracit

e)

Con

crete

(d

ry)

Cork

board

Cork

(ex

pa

nd

ed

)

Eart

h(d

iato

ma

ceo

us)

Eart

h(c

lay w

ith

28%

mo

ist)

Eart

h(s

an

dy w

ith

8%

mo

ist)

0.3

83

2.1

20

1.2

70

816

0.1

95

0.1

13

0.6

98

0.2

33

0.4

03

0.1

35

0.0

36

3.8

8

5.8

23.3

62.2

00

1.8

00

840

0.2

01

3

2.6

80.6

58

1 0.3

81.700

837

0.200

0.0

46

5.0

1.0

7

1.0

47

1.2

60.2

38

0.1

28

0.0

42

0.0

36

0.1

26

0.6

18

0.7

28

0.1

37

0.074

0.0

243

0.0

208

0.072

1.5

45

1.3

70

0.500

0.1

20

0.466

880

260

837

1880

0.210

0.3

01

0.0

49

10.9

5.3

879

0.2

10

0.0

31

3.3

11.5

10.8

72

11.0

50.6

07

TA

BL

EB

.3

(co

nti

nu

ed)

Gla

ssG

lass

(win

do

wp

an

e)G

lass

(wo

ol)

Gra

nit

eIc

ea

t0°C

Kap

ok

Lin

ole

um

Mic

aP

ine

bark

Pla

ster

Ple

xig

las

Ply

wo

od

Poly

styre

ne

Ru

bb

er

Eb

on

ite

Mo

ist

Sa

wd

ust

San

d

Fir

,p

ine,

an

d

Oa

k

Fib

ersh

eets

spru

ce

Wo

ol

0.2

20

2.8

00

0.2

00

0.9

13

0.3

42

1.8

00

1.1

80

1.0

50

1 0.2

24

0.2

15

0.7

05

0.2

00

800

670

18

30

2720

2390

0.035

0.1

91

0.8

1

0.1

60

0.4

37

2.22

3.0

0.0

35

0.08

1

0.5

23

0.0

80

0.8

14

0.1

95

0.1

09

0.1

57

0.1

63

0.5

82

1.13

0.0

71

0.6

50

0.19

0.0

55

0.0

47

0.03

8

0.02

0.4

7

1.73

1.2

80.

02

0.0

47

0.3

02

0.4

70.

113

0.06

3

0.2

69

0.0

942

0.03

18

0.3

36

0.6

53

0.0

41

0.034

0.0

28

0.1

24

3.66

3.0

20.6

7

0.0

87

0.0

12 4

1.33

0.1

11

31.2

20.0

318

0.0

172

No

tes:

Den

sity

==

specific

gra

vit

yx

62.4

=specific

gra

vit

yx

Als

o,

=

Dif

fusi

vit

y=a;

forasbestos,a

x=0.036

soa

=0.0

36

x

3 3

Satu

rate

dL

iqu

idP

rop

ert

yT

ab

les

TA

BL

E

Pro

pert

ies

ofS

atu

rate

dL

iqu

ids:

Am

mo

nia

Sp

ecif

icT

her

mal

hea

r,K

inem

ati

cco

nd

uct

ivit

y,

Th

erm

al

Tem

p,

vis

co

sity

,v

dif

fusi

vit

y,

Pra

nd

tlW

BT

U

gra

vit

yn

um

ber

,P

r

-50

-58

-40

-40

-30

-22

-20

-4

-10

14

032

10

50

20

68

30

40

50

122

0.7

03

0.6

91

0.6

53

0.6

26 1

0.5%

0.5

64

4463

4476

4509

4635

1.1

07

4714

1.1

26

4798

1.1

46

4890

1.1

68

1.1

94

5116

0.4

35

x

0.3

87

0.3

81

0.3

73

0.3

68

0.3

59

0.3

49

0.3

30

x0.5

47

0.4

37

0.5

47

0.4

17

0.5

49

0.4

10

0.5

47

05

43

0.4

02

0.3

%

0.3

86

05

21

0.3

76

0.3

66

0.4

93

0.4

76

0.3

16

0.3

16

0.3

17

0.3

14

0.3

12

0.3

01

0.2

85

0.2

75

x2.6

0

6.8

82.2

8

1.8

01

6.9

8

1.8

19

7.0

52.0

9

1.8

25

7.0

7

1.8

19

7.0

52.0

5

1.8

01

6.9

0

1.7

42

6.7

52.0

1

1.7

01

6.5

92.0

0

1.9

9

2.0

2x

--

Da

tata

ken

from

An

aly

sisof

and

Tra

nsf

er

E.R.

G.

an

dR

.M

.D

rak

e,Jr.

.T

aylo

rF

rancis

Inc.

1972.U

sed

wit

hp

erm

issi

on

.

TA

BLE

C.2

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:C

arb

on

Dio

xid

e

Th

erm

al

Sp

ecif

ic

Kin

emati

cT

her

mal

Tem

p,

vis

cosi

ty,

va

Pra

nd

rl

spec

ific

Wn

um

ber

.

gra

vit

yP

r

-50

-40

-30

-20

-10 0

10

-58

-40

-22

-4

14 32 50

68

86

1.156

1.117

1.076

1.032

0.926

0597

1880

970

2050

2180

2470

3140

36

0.45

0.47

0.49

052

0.59

0.75

1.2

8.7

0.119

x

0.118

0.117

0.113

0.101

0.080

0.128

x

0.127

0.126

0.124

0.117

0.1011

0.1116

0.1151

0.0703

0.0584

0.0654

1

0.0504

0.4810

2.46

0.5272

0.5133

1.989

2.20

0.4578

2.38

0.108

28.7

0.2219

4.10

3.67

x

TA

BL

EC.3

Pro

pert

ies

ofS

atu

rate

dLiq

uid

s:

Dic

hlo

rod

iflu

oro

meth

an

e(F

reo

n-1

2)

hea

t,K

inem

ati

cco

nd

uct

ivit

y,

kT

her

mal

va

Sp

ecif

icW

nu

mb

er.

m-K

Pr

-50

-40

-30

-20

-10 0 10 20 50

-58

-40

-4

14 32

50

68

104

122

1

884.7

895.6

920.3

9345

1021.6

0.2113

0.2139

0.2198

0.2393

0.310

x0279

0.253 1

0.214

0.203

0.198

0.191

0.334

x

0219

0.213

0.069

0.069

0.071

0.073

0.073

0.073

0.039

0.041

0.042

0.042

0.042

0.041

0.039

0501x

0.514

0539

0.550

0545

x6.2

2.63

x1.4

1.99

4.8

2.09

4.4

4.0

2.16

3.8

2.17

3.6

2.17

3.5

L17

3.5

3.5

I

TA

BLE

C.4

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

En

gin

eO

il(U

nu

sed

).*

Th

erm

al

heat,

Kin

emat

icco

nd

ucti

vit

y,

BT

U

Th

erm

al

Te

mp

,T

vP

ran

dtl

nu

mb

er,

BT

US

pec

ific

gra

vit

y

Xa

0

20

80

100

120

32

68

I76

212

248

284

320

0.8

88

0.8

76

0.8

28

0.8

16

0.8

05

17

96

18

80

964

2047

2 22

19

2 3

07

2 3

95

2483

0.4

29

0.4

69

0.5

09

0.5

30

0.5

51

0.5

93

28

24 x

0.3

75

0.2

03

0.1

24

0.0

80

0.0

56

x

0.2

19

0.1

33

0.0

86

0.1

45

0.1

40

0.1

38

0.1

37

0.1

35

0.1

33

0.1

32

0.0

85

0.0

84

0.0

83

0.0

81

0.0

80

0.0

79

0.0

78

0.9

11

x

0.8

72

3.3

8

0.8

34

0.8

00

3.1

0

2.9

8

0.7

38

2.8

6

0.7

10

2.7

5

0.6

86

0.6

63

2.5

7

3.5

3x

47

0.7

0x

x

2870

1050

490

276

175

116

84

TA

BLEC.5

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

Eth

yle

ne

Gly

co

l

Sp

ecif

icT

he

rma

l

hea

t,K

inem

ati

cco

nd

ucti

vit

y,

Th

erm

al

Te

mp

,T

vis

cosi

ty,v

dif

fusi

vit

y,a

Pra

nd

tlW

BT

Un

um

ber,

--

Sp

ecif

ic

"Cg

rav

ity

m-K

032

1.1

30

22

94

57.5

3x

x0.9

34x

3.6

2x

615

40

1.1

01

2474

0.5

91

0.1

48

93

60

140

1.0

87

25

62

0.6

12

4.7

55.1

10.2

60

0.1

50

0.9

32

51

80

176

2650

0.6

33

2.9

83.2

10.1

51

0.9

21

3.5

732.4

212

1.0

58

2742

0.2

63

0.1

52

3.5

222.4

20

68

1.1

16

2382

0.5

69

20.6

40.9

39

3.6

4204

x

TA

BLE

C.6

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

Eu

tectic

Calc

ium

Ch

lori

de S

olu

tio

n

Th

erm

al

hea

t,K

inem

ati

cco

nd

ucti

vit

y,

Th

erm

al

Tem

p,

vis

co

sity

,v

dif

fusi

vit

y,

Pra

nd

rlB

TU

WB

TU

nu

mb

er,

gra

vit

ym

-K

-50

-40

-30

-20

-10 0 10 20

20

50

-58

-4 14 32

50

68

86 122

1.319

1.314

1.310

1.300

.2%

1.291

1.286

1.281

1.272

2608

2635.6

2661.1

2688

2713

2738

2763

2788

2814

2839

2868

0.623

0.6356

0.654

0.672

0.685

36.35

x39.13

x26.88

17.18

18.49

6.%

4.39

4.73

3.35

2.72

2.93

2.44

1.92

1.65

1.78

0.415

0.429

0.459

0.472

0.498

0.535

0.248

0.265

0.273

0.280

0.288

0.295

1.166

x

1.200

1.300

1.332

1.363

1.394

1.419

1.468

4.65

4.78

4.91

5.04

5.16

5.40

5.50

5.69

312

208

139

87.1

33.0

19.6

16.0

TA

BLE

C.7

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

Gly

ceri

n

Sp

ecif

icT

herm

al

hea

t,K

inem

ati

cco

nd

ucti

vit

y,k

Th

erm

al

Tem

p,

Tv

isco

sity

,v

dif

fusi

vit

y,a

W

"Fgra

vit

ym

-KP

r

032

1.276

2261

0.0895

0.282

x3.81

84.7

x

20

68

1.264

2386

0.00118

0.0127

0.286

0.165

3.67

xx

1050

1.270

2319

0.554

0.00300

0.0323

0.284

0.164

3.74

30

861.258

0.584

3.60

5.38

104

2512

0.0024

0.286

0.165

0.914

3.54

2.45

50

122

2583

0.617

0.0016

0.287

3.46

I

TA

BLE

C.8

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

Merc

ury

Sp

ecif

icT

her

ma

l

hea

t,K

inem

ati

cco

nd

uct

ivit

y,

Th

erm

al

Te

mp

,T

vis

cosi

ty,v

dif

fusi

vit

y,a

Pra

nd

tln

um

ber,

WB

TU

Sp

ecif

ic

"Fg

rav

ity

Pr

032

20

68

50

122

212

150

302

200

392

482

315.5

13.628

13.505

13.384

13.264

€3.144

13.025

12.847

139.4

138.6

136.5

135.7

134.0

0.0335

0.0333

0.0331

0.0326

0.0375

0.0324

0.032

x

0.114

8

0.0853 2

0.0765

0.133

x

0.112

0.0863

0.0823

0.0724

8.20

8.69

9.40

12.34

14.02

5.43

6.07

7.13

7.55

8.10

42.99

x

50.22

57.16

63.54

69.08

81.5

TA

BLE

C.9

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

Me

thy

lC

lori

de

166.6

x0.0288

178.5

0.0249

1.82

x1.01

x

194.6

7

221.5

0.0162

246.2

0.0134

267.7

0.01

16

287.0

0.0103

316

3

Sp

ecif

ic

hea

t,K

inem

ati

cco

nd

uct

ivit

y,

Th

erm

al

Tem

p,

Tv

isco

sity

,v

dif

fusi

vit

y,

Pra

nd

tln

um

ber

,S

pec

ific

BT

U-

WB

TU

gra

vit

yrn

-K

-50

-40

-20

-10 0 10 20

30

50

-58

-22-4

14

32

68

86

1.052

1.033

1.016

0.981

0.923

0.903

0.883

0.861

1 14922

1504.3

1537.8

1560.0

1586.0

1689.0

0.3525

0.3541

0.3564

0.3593

0.3673

0.3788

0.3860

0.4034

0.320

x

0.318

0.314

0.309

0.302

0.297

0.288

0.281

0.274

0.344

x10

0.342

0.338

0.320

0.315

0.303

0.295

0.202

0.178

0.171

0.163

0.154

0.124

0.121

0.117

0.113

0.108

0.094

0.089

0.083

x5.38

x

1.368

5.30

1.337

5.18

1.301

4.87

1.213

4.70

1.166

4.52

4.31

1.058

4.10

0.9%

3.86

1.32

2.38

2.49

2.55

2.63

2.72

2.97

U X

TA

BL

E

Pro

pert

ies

of

Satu

rate

dL

iqu

ids:

Surf

ur

Dio

xid

e

Sp

ecif

ic

hea

r,co

nd

ucti

vit

y,

va

nu

mb

er,

WB

TU

BT

US

pec

ific

gra

vit

yh

r-ft

-"R

Pr

-50

-5

81.5

60

1359.5

0.3

247

x0.5

21

x0.1

40

1.1

41x

4.4

2x

4.2

4-

40

1.5

36

0.3

250

0.4

24

0.4

56

0.2

35

1.1

30

4.3

83.7

4

-3

0-22

1.5

20

0.3

99

0.1

33

1.1

17

4.3

3

-2

0-

41.4

88

0.3

24

0.3

49

0.1

30

1.1

07

4.2

92.9

3

-14

1.4

63

1362.8

0.3

255

0.2

88

0.3

10

0.2

18

2.6

2

032

1.4

38

1363.6

0.3

257

1.0

81

4.1

9

105

01.4

12

0.3

259

0.2

32

0.2

50

0.2

04

2.1

8

86

1.3

59

0.3

263

0.1

90

0.1

92

0.1

11

1.0

35

4.0

11.8

3

40

1.3

29

1367.4

0.1

73

0.1

86

0.1

85

1.0

19

3.9

5

50

12

20.1

62

0.1

02

1.6

1

20

68

1.3

86

0.3

261

0.1

99

0.1

15

xx

X ..

TA

BLE

C.l

l

Pro

pert

ies

ofS

atu

rate

dL

iqu

ids:

Wa

ter

Sp

ecif

ic

heat,

Th

erm

al

Kin

eatic

co

nd

ucti

vit

y,

Th

erm

al

Te

mp

,T

vis

cosi

ty,v

dif

fusi

vit

y,a

Pra

nd

tlS

pec

ific

BT

UW

BT

Un

um

ber,

"C

"Fg

rav

ity

032

20

68

40

104

80

176

100

212

120

248

284

160

320

180

356

392

220

428

240

260

280

537

300

1.0

02

1 0.9

94

0.9

74

0.9

45

0.9

28

0.8

89

0.8

42

0.8

15

0.7

85

0.7

52

4217

4181

4 1

78

4184

41

%

4216

4250

4 2

83

4342

4417

4505

4610

4756

4949

5208

5 7

28

0.9

988

0.9

980

1 1.0

070

1 1.0

55

1.0

76

1.1

01

1.1

36

1.1

82

1.3

68

1.7

88

x

0.2

94

0.2

47

0.2

14

0.1

73

0.1

60

0.1

43

0.1

37

1.9

25

x

1.0

83

0.7

08

0.5

14

0.3

92

0.2

66

0.2

30

0.2

04

0.1

86

0.1

54

0.1

48

0.1

45

0.5

52

0.3

19

0.5

97

0.3

63

0.6

51

0.3

76

0.3

86

0.3

93

0.6

85

0.3

%

0.6

75

0.390

0.3

84

0.6

35

0.3

67

0.6

11

0.3

53

0.3

35

0.5

40

x

1.4

30

1.5

12

5.8

6

16.0

2

1.6

36

1.6

80

1.7

08

6.6

2

1.7

29

1.7

24

6.6

8

1.6

80

6.5

1

1.6

39

6.3

5

1.3

24

x13.6

7.0

2

3.0

2

2.2

2

1.7

4

0.9

37

0.8

91

0.8

71

0.8

74

0.9

10

1.0

19

Gas

Pro

pert

yT

ab

les

TA

BLE

D.l

Pro

pert

ies

of

Gases

at

Atm

osp

heri

cP

ressu

re(1

01.3

=14.7

Air

[Gas

co

nsta

nt=

286.8

=53.3

==

con

du

ctiv

ity.

Th

erm

al

Tem

p,

TP

va

Wn

um

ber

,J

Pr

100

350

450

700

750

800

850

950

100

1500

1700

2100

2200

2

450

720

810

1170

1350

1620

1710

2520

2700

3240

3420

4140

4320

3.601

1.768

1.413

0.883

0.642

0.589

0.543

0.503

0.471

0.415

0.393

0.352

0.320

0.197

0.186

0.176

0.168

0.154

0.146

0.139

1026.6

0.110

0.0735

1005.7

0.0551

1020.7

10295

0.0339

10635

0.0314

1075.2

0.0259

0.0245

1121.2

1141.7

0.0169

1197

1214

0.0147

0.0138

1248

0.0115

0.0110

1338

0.0105

1372

1419

1482

1574

1688

0.245

0241

0241

0.242

0.252

0.254

0.268

0270

0.273

0282

0.298

0.307

0.313

0.339

0.354

1.923x

4.343

7.490

1568

37.90

5851

66.25

82.29

99.3

1082

117.8

138.6

159.1

182.1

205.5

2545

338.5

432.6

543.5

90.75

x4.674

31.06

40.80

47.73

62.98

71.31

8858

97.68

1165

126.8'

149.2

171.3

196.0

2213

397.2

430.1

465.6

0.013735

0.01809

0.02624 03

0.03365

0.03707

38

0.04360

59

0.049 53

30

09

0.05779

79 52 2

0.0782 7

0.100

0.111

0.117

0.124

0.139

0.149

0.175

0.005342

0.01045

0.01516

0.02142

0.02333

0.03628

0.0515

0.0.547

0.0578

0.0757

0.0803

0.0930

0.101

0.02501x

45

0.10165

0.131 61

0.3760

0.4222

0.5564

0.6532

0.7512

0.8578

1

15510

2.583

2.920

3.262

4379

5.715

6.120

6.540

7.020

0.394

1.156

1.457

2531 1

3.748

4.175

5.530

6502

7.630

8.723

11.32

12.64

13.98

15.41

18.64

20.38

23.72

27.20

28.83

0.70

0.753

0.722

0.708

0.697

0.689

0.680

0.680

0.682

0.692

0.6%

0.702

0.707

0.705

0.704

0.704

0.700

0.707

0.710

So

urc

e:

Data

tak

en from

aof

refe

ren

ces

atend

of

TA

BLE

D.2

Pro

pert

ies

of

Gases

at

Atm

osp

heri

cP

ressu

re(1

01

.3=

14

.7p

sia

):C

arb

on

Dio

xid

e[G

as

co

nsta

nt

=1

88

.9

=35.1

1y

==

Th

erm

al

Sp

ecif

ic

heat,

Kin

em

ati

ck

Th

erm

al

Tem

p,

TD

en

sity

,p

vis

co

sity

,v

Pra

nd

tl

JB

TU

BT

Un

um

ber,

KP

r

250

350

450

500

550

600

396

2.4

733

450

2.1

657

540

1.7

973

630

1,5

362

720

1.3

424

810

1.1

918

0.9

739

0.8

938

0.1

352

0.1

0.0

838

0.0

744

0.0

670

783

871

942

980

10

13

1047

10

76

0.1

87

0.1

92

0.2

08

0.2

15

0.2

34

0.2

42

0.2

57

x

11.1

9

17.9

0

21.6

7

30.0

2

x

12.0

5

15.4

9

23.3

3

27.7

1

32.3

1

0.0

10

805

0.0

12

884

0.0

16572

0.0

20

47

0.0

2461

0.0

28 9

7

0.0

33

52

21

0.0

09575

0.0

1183

0.0

1674

0.0

1937

0.0

2208

0.0

59 2

0 x

0.0

7401 88

0.2

48

13

0.3

08

4

0.3

75

0 3

0.2

294

0.2

868

0.4

103

0.5

738

0.7

542

1.7

37

0.8

18

0.7

93

0.7

55

0.7

38

0.7

21

0.7

02

0.6

68

TA

BLE

D.3

Pro

pert

ies o

f G

ases

at

Atm

osp

heri

cP

ressu

re(1

01

.3=

14

.7p

sia

):H

eli

um

[Gas

co

nsta

nt=

20

77

=

38

6y

==

Sp

ecif

icT

herm

al

heat,

Kin

em

ati

cI

co

nd

ucti

vit

y,

Den

sity

,p

vis

co

sity

,v

dif

fusi

vir

y,

Pra

nd

tl

BT

UW

BT

Un

um

ber,

KP

r

33

200

255

589

700

800

60

260

360

460

860

1060

1260

1620

1.4

657

0.3

380

0.2

43

0.1

3280

0.1

0204

0.0

82

82

0.0

7032

0.0

60

23

0.0

52

86

0.0

21 1

9

0.0

0517

0.0

0376

0.0

0330

5200

1.2

42

5200

1.2

42

5200

1.2

42

5200

1.2

42

5200

1.2

42

5200

1.2

42

1.2

42

5200

1.2

42

5200

5200

1.2

42

3.4

2x

37.1

1

64.3

8

95.5

0

173.6

375.8

781.3

x

39.9

5

69.3

0

102.8

186.9

289.9

682.5

841.0

0.0

35

3

0.0

92

8

0.1

177 7

0.1

69

0.2

51

0.2

75

0.2

98

0.0

536

0.0

680

0.0

784

0.1

14

0.1

45

0.1

59

0.5

27

5

0.9

28

8

1.3

675

3.7

16

5.2

15

6.6

61

10.8

34

0.1

792

3.5

99

9.4

90

20.2

1

25.8

1

34.0

0

41.9

8

0.7

4

0.7

0

0.6

9

0.7

0

0.7

1

0.7

2

0.7

2

0.7

2

0.7

2

TA

BLE

D.4

Pro

pert

ies

of

Gases

at

Atm

osp

heri

cP

ressure

(101.3

=14.7

Hyd

rog

en

[Gas

co

nsta

nt=

4126

=767

==

Sp

ecif

icT

her

mal

hea

t,K

inem

ati

ccon

du

cti

vit

y,

Th

erm

al

Tem

p,

TD

en

sity

,vis

cosi

ty,v

a

JW

BT

Un

um

ber,

KPr

3054

50

100

180

270

450

540

350

630

720

450

8

550

1080

700

1260

800

1620

1800

1980

1200

2160

1333

0.84722

0.509

0.24572

71

0.12.270

0.09819

0.08185 16

0.06135 62

0.04918 69

85 92

0.030

0.02723

0.024

1

27

0.02050

0.018

0.01842

0.05289

0.0318

1

0.01022 1

0.00341

0.00279

0.00218

0.00191

0.00170

0.00139

0.001 18

15

10 10501

11229

12602

13 14 14314

14436

14491

14507

14232

14537

14 14821

14 15165

15

638

2589

2.508

2.682

3.010

3.358

3.419

3.448

3.463

3.465

3.472

3.481

3.505

3.670

3.720

3.735

x

17.14

34.18

80.64

109.5

215.6

301.6

349.7

455.1

569

690

822

1107

1273

1328

x

5.253

36.79

86.80

117.9

152.7

232.1

324.6

612

743

885

1039

1192

1370

1429

2 5 1

0.1282

1

0.182

0.228

0.251

0.272

0.315

0.412

0.512

0.519

0.0132

0.0209

0.119

0.132

0.145

0.157

0.169

0.182

0.254

0.268

0.2%

0.300

x

6

0.2408

0.475

1.130

1.554

3.164

3.817

4.516

6.903

8563

10.217

13.726

15.484

17.394

0.262

2.99

4.38

7.87

12.26

17.50

20.56

33.18

46.49

60.00

69.80

0.721

0.718

0.713

0.697

0.690

0.682

0.659

0.676

0.703

0.733

0.736

TA

BLE

D.5

Pro

pert

ies

of

Gases

at

Atm

osp

heri

cP

ressu

re(1

01.3

=1

4.7

Nit

rog

en

[Gas

co

nsta

nt

29

6.8

=

55.1

6=

=

Sp

ecif

ic

Th

erm

al

hea

t,K

inem

ati

cco

nd

uct

ivit

y,

Th

erm

al

Tem

p,

Density,

vis

cosi

ty,v

aP

ran

dtl

BT

UW

BT

Un

um

ber,

J

Kk

g-K

100

200

300

500

600

700

800

1100

180

3.4808

360

1.7108

540

1.1421

720

0.8538

1080

0.5687

1260

0.4934

0.4277

1620

0.3796

1800

1980

0.2851

0.2173

0.1068

0.0426

0.0308

0.0267

0.0237

0.0213

0.0194

0.0178

1072.2

1055.5

1075.6

1122.5

1146.4

1167.7

1203.7

0.2561

0.2491

0.2521

0.2620

0.2681

0.2789

0.2382

0.2875

1.971

x7.568

15.63

51.19

65.13

81.46

91.06

136.0

2.122x

8.146

16.82

27.71

40.54

55.10

87.68

98.02

126.2

146.4

168.0

0.01824

0.02620 35

0.039

0.04580 23

0.05609 70

75

0.06850

0.07184

0.01514

0.01927

0.02960

0.03507

0.03958

0.025319x

0.10224

0.22044

0.3734 0

0.7486 6

1.1685

1.3946 0 1

2.0932

0.09811

1.447

2.143

3.668

6.297

7.204

8.111

2.901

0.786

0.747

0.713

0.684

0.686

0.700

0.711

0.736

0.748

TA

BL

ED

.6

Pro

pert

ies o

f G

ases

at

Atm

osp

heri

cP

ressu

re(1

01.3

=14.7

Oxyg

en

[Gas

co

nsta

nt=

260

=48.3

==

Sp

ecif

ic

Kin

ematic

con

du

ctiv

ity,k

TP

vis

cosi

ty,

a

JW

nu

mb

er,

K 150

200

350

450

550

270

540

630

720

810

3.9118

2.6190

1.9559

15618

1.1133

5 2

0.7801 6

0.6504

0.2492

0.1635

0.1221

913.1

915.7

920.3

929.1

942.0

972.2

988.1

1

0.2192

0.2181

0.2198

0.2.219

x

4.387

7593

11.45

15.86

20.80

26.18

31.99

45.05

2.095

x

17.07

22.39

28.18

48.49

56.13

0.01367

0.01824

0.02259

0.02676 6

0.038

0.04517 82

0.00522

0.01305

0.02212

0.02411

0.02610

88

0.10214 53

0.2%

8 8 9

0.5502

0.7399

0.3958

1.786

2.132

2.4%

0.815

0.745

0.725

0.709

0.702

0.695

0.694

0.697

0.700

3

TA

BL

ED

.7

Pro

pert

ies o

f G

ases

at

Atm

osp

heri

cP

ressu

re(1

01.3

=1

4.7

Wa

ter

Vap

or

or

Ste

am

[Gas

co

nsta

nt=

46

1.5

=8

5.7

8=

=

Sp

ecif

icT

her

mal

hea

t,K

inem

ati

cco

nd

uct

ivit

y,k

Th

erm

al

Tem

p,

TD

ensi

ty,

viscosity,

vd

iffu

sivit

y,a

Pra

nd

tl

JB

TU

nu

mb

er,

KP

r

380

450

550

650

700

750

850

684

720

810

1080

1170

1260

1350

1530

0.5863

0.5542

0.4902 5 5

0.3652 0

0.3140

0.2931

0.2739 9

0.0306

0.0211

0.0196

0.0183

0.0171

0.0161

2014

1980

1985

2026

2056

2085

2119

2152

2186

0.481

0.474

0.484

0.491

0.498

0.506

0.514

x2.42

3.11

3.86

4.70

6.64

7.72

8.88

10.20

11.52

2.61

4.16

6.09

7.15

8.31

9.56

10.98

0.0246

0.026

1

0.0299 9 9 2 4

0.0505

0.0549 2

0.0637

0.0142

0.0151

0.0173

0.0196

0.0219

0.0268

0.0292

0.0342

0.2036

0.2338

0.475

0.883

1.001

1.130

0.789

1.19

1.84

2.58

2.99

3.42

3.88

4.38

1.010

1 1.005

1.010

1.019

660 Engineering Heat Transfer

Emissivity Tables

TABLE E.lNormal of Various Metals

TemperatureSurface

Material condition K Normal emissivitv.

Aluminum

Brass

Chromium

Copper

Gold

Iron

Lead

Nickel

Silver

Steel

Tin

Tungsten

Zinc

Polished plate

Rolled and polishedRough plate

OxidizedPolished

Tarnished

Polished

Black oxidizedTarnishedPolished

Not polishedPolished

Smooth oxidizedGround brightPolished

Gray oxidizedPolished

OxidizedPolished

Polished

Rough oxidizedGround

Bright

Filament

TarnishedPolished

296498443298

611292573329

423

293293293

293293

398293698

293403

373373

293

3131213

293

3300

293503

533896 0.039797 0.039536 0.070

526 0.051,030 0.032

592 0.202

761 0.058

527 0.780527 0.037527 0.030

527 0.47527 0.025

716 0.78527 0.24

1,256

527 0.28725 0.056

0.41671 0.045

527 0.025

563 0.942,183 0.520

527 0.070

5,940 0.39

527 0.25905 0.045

1,100 0.22

Source: Data taken from a number of sources. See references at end of text.

Appendix A: Tables 661

TABLE E.2

Normal or Total (Hemispherical) of Various

Nonmetallic Solids

Surface

Temperature Emissivity

K Normal Total

Aluminum oxide 600 1080 0.691000 1800 0.55

Asphalt pavement 300 540

Building materials

Asbestos sheet 300 540 Red brick 300 540Gypsum or plasterboard 300 540Wood 300 540Concrete 300 540

Cloth 300 540

Glass, window 300 540

Ice 273 492

Paint

Black 300 540White 300 540

Paper, white

Skin

Snow

Soil

Teflon

300 540

300 540

273 492

300 540

300 540500 900

Water 300 540

0.98

0.95

0.850.92

0.96

Source: Data taken from a number of sources. See references at end of text.

662 Engineering Heat Transfer

Pipe and Tubing Tables

TABLE F.l

Dimensions of Wrought-Steel and Wrought-Iron Pipe*

Flow areaOutside diameter Internal diameter

Pipe size in. cm Schedule ft cm cm

a

3

3

1

2

3

0.405

0.540

0.675

0.840

1.050

1.315

1.660

1.900

2.375

2.875

3.500

1.029

1.372

1.714

2.134

2.667

3.340

4.216

4.826

6.034

7.303

8.890

40 (STD)80 (XS)

40 (STD)80 (XS)

40 (STD)80 (XS)

40 (STD)80 (XS)

160

40 (STD)80 (XS)

160

40 (STD)80 (XS)160

40 (STD)80 (XS)160

(STD)80 (XS)160

40 (STD)80 (XS)160

40 (STD)80 (XS)160

40 (STD)80 (XS)

160

0.022420.01792

0.030330.02517

0.041080.03525

0.051830.04550

0.03867

0.02100

0.068670.061830.051000.03617

0.087420.079750.067920.04992

0.11500.10650.096670.7467

0.13420.12500.11150.09167

0.17230.16160.14060.1253

0.20580.19360.17710.1476

0.25570.24170.21870.1917

0.6830.547

0.9240.768

1.2521.074

1.5801.386

1.178

0.640

2.0931.88311.103

2.6642.4302.0701.522

-3.5043.2462.9462.276

4.0903.8103.3982.794

5.2524.9264.2863.820

6.2715.9015.3974.499

7.7927.3666.6645.842

0.00039470.0002522

0.00072270.0004974

0.001326

0.0021100.001626

0.001174

0.0037030.0030030.0020430.001027

0.0060020.0049950.0036230.001957

0.010390.0089080.007339

0.014140.012270.0097640.006600

0.023300.020510.015520.01232

0.033250.029430.024630.01711

0.051340.045870.037550.02885

0,36640,2350

0.670 6 0.4632

1.2330.905 9

1.9611

1.090

3.217

3.4412.7851.898

5.5745.0833.3651.815

9.6438.2756.8164.069

13.1311.409.0686.131

21.6619.0614.4311.46

30.8927.3522.8815.90

47.6942.6134.8826.80

Dimensions in English units obtained from ANSI B36.10-1979,American National Standard Wrought Steel and

Wrought Iron Pipe, and reprinted with permission from the publisher :American Society of Mechanical Engineers.

Notes:STD implies Standard; XS is extra strong; XXS is double extra strong.

Appendix A: Tables 663

TABLE F.l

(continued)

Outside diameter Internal diameter Flow area

Pipe size in. cm Schedule ft cm

6

10

12

4.000 10.16 40 (STD)

4 4.500 11.43 40 (STD)

80 (XS)

80 (XS)

3.4

120160

5 5.563 14.13 40 (STD)80 (XS)

120160

6.625 16.83 40 (STD)80 (XS)

120160

8 8.625 21.91 203040 (STD)6080 (XS)

100120140

160

10.750 27.31 20 3040 (STD)60 (XS)80

100120140 (XXS)160

12.750 32.39 2030

40

6080

100120140160

0.29570.2803

0.33550.31980.30200.28650.2626

0.42060.40110.38030.35940.3386

0.50540.48010.45840.48230.4081

0.67710.67260.66510.65110.6354

0.61980.59890.58340.57290.5678

0.85420.84470.83500.81250.79680.77600.75520.72920.7083

1.0211.00810.99480.97920.96880.94780.92180.89580.87500.8438

9.0128.544

9.7189.2048.7328.006

10.23

12.8212.2211.5910.9510.32

15.4114.6413.9813.1812.44

20.6420.5020.2719.8519.37

18.8918.2617.7917.4617.31

26.0425.7525.4624.7724.2923.6623.0222.2321.59

31.1230.7130.4830.3329.8529.5328.8928.1027.3126.6725.72

0.068660.06172

0.088410.079840.071630.064470.05419

0.13890.12630.11360.1015

0.20060.18100.16500.14670.1308

0.36010.35530.34740.33290.3171

0.30170.28170.26730.25780.2532

0.57300.56040.54760.51850.49870.47300.44700.41760.3941

0.81850,79720.7854

0.75300.73720.70560.66740.63030.60130.5592

63.7957.33

82.1974.1766.5459.8850.34

129.10117.30105.5094.1783.65

186.50168.30153.50136.40121.50

334.60330.10322.70309.50294.70

280.30261.90248.60239.40235.30

332.60520.80509.10481.90463.40439.70416.20388.10366.10

760.60740.71729.70722.50699.80684.90655.50620.20585.80558.60519.60

664 Engineering Heat Transfer

TABLE F.l

(continued)

Outside diameter Internal diameter Flow area

Pipe size in. cm Schedule ft cm

14

16

18

20

22

24

26

28

30

32

34

36

38

40

16.000

18.000

20.000

24.000

26.000

30.000

36.000

38.000

40.000

35.56

40.64

45.72

50.80

55.88

60.96

66.04

71.12

76.20

81.28

86.36

91.44

96.52

301.6

1.1040.9323

1.2711.068

1.4381.203

1.6041.339

1.7711.479

1.9381.609

2.104

2.271

2.438

2.604

2.938

3.104

3.271

33.6528.42

38.7332.54

43.8136.67

48.8940.80

53.9745.08

59.0549.05

64.13

69.21

74.29

79.34

84.45

89.53

-94.61

99.69

0.6827

1.2680.8953

1.6231.137

2.0211.407

2.4631.718

2.9482.034

3.477

4.050

4.666

5.326

6.030

7.568

8.403

889.30634.40

1178.00831.60

1507.001056.00

1877.0013 07 .OO

2288.001596.00

2739.001890.00

3230.00

3762.00

4335.00

4944.00

5601

6295.00

7030.00

7805.00

Dimensions in English units from ANSI B36.10-1979,American National Standard Wrought Steel andWrought iron Pipe, and reprinted with permission from the publisher: American Society of Mechanical Engineers.

Notes:STD implies Standard; XS is extra strong; XXS is double extra strong.

Appendix A: Tables 665

TABLE F.2

Dimensions of Seamless Copper Tubing*

Outside diameter Internal diameter Flow area

Standard size in. cm ft cm

0.375

0.500

0.625

0.750

0.875

1.125

2.125

2.625

3.125

3.625

4.125

5.125

0.953

1.270

1.588

1.905

2.222

2.858

3.493

4.128

5.398

6.668

7.938

9.208

10.48

13.02

L

KLM

KLM

KL

KLM

KLM

KLM

KLM

KLM

KLM

KLM

KLM

KLM

KLM

0.025420.02625

0.033500.035830.03750

0.043920.045420.04742

0.054330.05 0

0.062080.065420.06758

0.082920.085420.08792

0.10380.10540.1076

0.12340.12540.1273

0.16330.16540.1674

0.2029

0.2079

0.24230.24540.2484

0.28210.28540.2883

0.32140.32540.3279

0.40040.40630.4089

0.801

1.0221.0921.142

1.3401.3841.446

1.6571.691

1.8921.9942.060

2.5282.6042.680

2.1633.2133.279

3.7623.8243.880

4.9765.0425.102

6.1866.2626.338

7.3847.4807.572

8.5988.7008.786

9.8009.9229.998

12.2112.3812.47

0.00050740.0005412

0.00088140.0010080.001104

0.0015150.0016200.001766

0.0023 19 0.002419

0.0030270.0033610.003587

0.0054000.0057300.006071

0.0084540.0087280.009090

0.011960.012350.01272

0.020930.021490.02201

0.032340.033140.03395

0.047300.04847

0.062490.063980.06523

0,081140.083170.08445

0.12960.1313

0.47170.503 9

0.820 30.936 61.024

1.4101.5051.642

2.1562.246

2.8113.1233.333

5.0195.3265.641

7.8588.1088.444

11.1211.4811.82

11.9519.9720.44

30.0530.8040.17

42.8243.9445.03

58.0659.4560.63

75.4377.3278.51

117.10120.50122.10

Dimensions in English units obtained from “Standard Specifications forCopper Water Tube,” and reprinted with permission from the publisher: American Society for TestingMaterials.

Notes : Type K is for underground service and general plumbing; Type L is for interior plumbing; Type M isfor use only with soldered fittings.

666 Engineering Heat Transfer

TABLE F.2

(conti

Outside diameter Internal diameter Flow area

Standard size in. cm Type ft cm

6 6.125 K 0.4784 14.58 0.1798 167.00L 0.4871 14.85 0.1863 173.20M 0.4901 14.39 0.1886 175.30

8 8.125 20.64 0.6319 19.26 0.3136 291.50L 0.6438 19.62 0.3255 302.50 M 0.6488 19.78 0.3306 307.20

10 10.125 25.72 K 0.7874 24.00 0.4870 452.50L 0.8021 24.45 0.5053 469.50M 0.8084 24.64 0.5133 476.80

12 12.125 30.80 K 0.9429 28.74 0.6983 648.80L 0.9638 29.38M 0.9681 29.51 0.7361 684.00

Dimensions in English units obtained from Standard Specifications for Seamless

Copper Water Tube,” and reprinted with permission from the publisher: American Society for Testing

Materials.

Notes: Type K is for underground service and general plumbing; Type L is for interior plumbing; Type M isfor use only with soldered fittings.

TABLE

The Greek Alphabet

Greek Greek English capital lower-casespelling letters letters

Alpha A a

Beta BGammaDelta AEpsilon EZeta ZEta HThetaIota I

KLambda A 1

Mu MN VNu

XiOmicron 0Pi

Rho PSigma

UpsilonPhi

XChiPsiOmega

Tau

5