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Example for TANK module

Task

Heavy fuel oil HFO 180 shall be stored in a storage tank with circular cross section at a minimum temperature of 50°C.

Dimensions of the tank:

Inside diameter:          12 m

Height:                          15 m

Filling level:                  14 m

The shell of the tank consists of 8 mm steel (St steel l = 52 W/(m·K))  and is insulated shell side and roof side with 100 mm mineral wool (l = 0,04 W/(m·K)). It is placed on a 250 mm thick concrete plate with l = 2,5 W/(m·K).

What is the heat loss of the tank in the winter at an air temperature and ground temperature of - 20°C and a wind velocity of 10 m/s?

For compensating the heat losses, the tank is heated with a flat coil. The heat transfer takes place by ‘free convection’.

Heating medium:

Thermal oil Transcal LT

Volume Flow: 10 m³/h

Inlet temperature: 140 °C

Flat coil:

DN 50 (60.3 x 2.9 mm)

Material: Steel

Thermal conductivity 52 W/(m·K)

A possible fouling of the coil is not considered.

 

What is the heat transfer area?

 


Calculation of the heat losses

Start TANK module (option 'round sketch')

Enter given values

Wind velocity is assumed as 10 m/s (fresh to strong wind) Ground temperature is entered with - 20°C, same as the air temperature.

  


Select the medium to be stored / Enter physical properties

If the storage medium is not included in the database, you may enter the physical properties by selecting ‘Free Input’.

Select ‘Heavy Fuel Oils and then in the module “Properties tank medium” select HFO 180

For the gas phase above the heavy fuel oil, use physical properties of air.

Enter the remaining values.

 Wall thickness = 8 mm, l= 52 W/(m·K),  thickness of mineral wool = 100 mm, l = 0.04 W/(m·K). The thermal conductivity of the soil is pre-set with 2 W/(m·K) (according VDI Heat Atlas, Soil of unknown consistency)

Results

There is a heat loss of 21.46 kW

The medium in the tank cools down by 0.7 °C within 24 hours, unless you do not compensate the heat losses. (Calculation of the required heat transfer area)

You can find the individual calculations of the heat losses in the different modules


Calculation of the required heat transfer area

For compensating the heat losses the tank is heated with a flat coil. The heat transfer takes place by ‘free convection’.

Heating medium:

Thermal oil Transcal LT

Volume Flow: 10 m³/h

Inlet temperature: 140 °C

Flat coil:

DN 50 (60.3 x 2.9 mm)

Material: Steel

Thermal conductivity 52 W/(m·K)

A possible fouling of the coil is not considered.

Heating medium

As soon as you have entered pressure and temperature, you may select the Transcal LT thermal oil.

Heating coil data

Results

The required heat transfer area for compensating the heat losses of the tank is 2.179 m². This means that the flat coil made of steel of DN 50 must be of a length of 11.50 m to be able to compensate the heat losses.

Thermal conductivity of vessel material

Thermal conductivity l in W/(m·K) depending on temperature

Density r [103 kg/m³] at 20°C

No.

DIN Description

Material number

Density r

103 kg/m³

Thermal conductivity l

W/(m·K)

High temperature steels, unalloyed

 

 

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

1

St 35.8

1.0305

7.85

 

 

 

57

57

54

50

45

42

37

 

 

 

 

2

St 37.8

1.0315

7.85

 

 

 

57

57

54

50

45

42

37

 

 

 

 

3

St 45.8

1.0405

7.85

 

 

 

54

53

50

47

43

40

36

 

 

 

 

4

St 42.8

1.0498

7.85

 

 

 

54

54

50

47

43

40

36

 

 

 

 

5

P 235 GH

1.0345

7.80

 

 

 

55

55

51

48

44

41

 

 

 

 

 

6

P 265 GH

1.0425

7.80

 

 

 

55

55

51

48

44

41

 

 

 

 

 

High temperature steels, low-alloyed

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

7

P 295 GH

1.0481

7.83

 

 

 

47

47

46

44

41

38

35

 

 

 

 

8

19 Mn 5

1.0482

7.83

 

 

 

40

41

41

40

38

36

34

 

 

 

 

9

16 Mo 3

1.5415

7.85

 

 

 

51

51

49

45

42

39

36

 

 

 

 

10

16 Mo 5

1.5423

7.85

 

 

 

48

47

46

43

40

37

34

 

 

 

 

11

15 MnNi 6-3

1.6210

7.84

 

 

 

42

43

43

41

39

36

 

 

 

 

 

12

20 MnMoNi 5-5

1.6310

7.85

 

 

 

42

43

43

41

39

36

 

 

 

 

 

13

15 NiCuMoNb 5-6-4

1.6368

7.85

 

 

 

38

41

42

41

39

38

35

 

 

 

 

14

13 CrMo 4-5

1.7335

7.85

 

 

 

46

46

46

43

41

38

36

 

 

 

 

15

12 CrMo 19-5

1.7362

7.77

 

 

 

20

23

25

26

27

28

28

 

 

 

 

16

10 CrMo 9-10

GS-12 CrMo 9-10

1.7380

7.80

 

 

 

35

37

38

38

37

35

33

 

 

 

 

17

14 MoV 6-3

1.7715

7.84

 

 

 

46

47

46

44

41

39

36

 

 

 

 


No.

DIN Description

Material number

Density r

103 kg/m³

Thermal conductivity l

W/(m·K)

High temperature steels, high-alloyed

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

18

X 10 CrMoVNb 9-1

1.4903

7.77

 

 

 

26

27

28

28

29

30

30

 

 

 

 

19

X 20 CrMoV 11-1

1.4922

7.75

 

 

 

24

24

25

25

26

26

26

 

 

 

 

20

X 8 CrNiMoNb 16-16

1.4981

8.01

 

 

 

15

16

17

19

20

21

22

24

25

 

 

21

X 12 CrMo 9-1

1.7386

7.77

 

 

 

21

23

24

26

27

28

29

 

 

 

 

Highly heat resisting steels

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

22

X 3 CrNiMoBN 17-13-3

1.4910

7.89

 

 

 

13

15

16

18

19

21

22

24

25

 

 

23

X 6 CrNiMoB 17-12-2

1.4919

7.98

 

 

 

16

17

18

19

20

22

23

24

 

 

 

24

X 6 CrNi 18-10

1.4948

7.90

 

 

 

17

18

19

20

21

22

23

24

 

 

 

25

X 3 CrNiN 18-11

1.4949

7.93

 

 

 

17

18

19

20

21

22

23

24

 

 

 

Heat-resistant steels

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

26

X 10 CrAlSi 7

1.4713

7.7

 

 

 

21

22

23

24

25

25

26

26

 

 

 

27

X 18 CrN 28

1.4749

7.7

 

 

 

17

 

 

 

 

 

 

 

 

 

 

28

X 15 CrNiSi 20-12

1.4828

7.9

 

 

 

13

14

16

17

19

21

22

23

25

26

28

29

X 10 NiCrAlTi 32-21

1.4876

8

 

 

 

12

13

15

16

18

20

21

23

24

26

27

30

X 5 NiCrNbCe 32-27

1.4877

8

 

 

 

12

 

 

 

 

20

 

 

 

 

 

Stainless and acid-resistant steels

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

31

X 6 Cr 17

1.4016

7.7

 

 

 

24

24

25

25

25

25

26

26

27

27

28

32

X 17 CrNi 16-2

1.4057

7.7

 

 

 

25

 

 

 

 

 

 

 

 

 

 

33

X 5 CrNi 18-10

1.4301

7.9

 

 

 

15

16

18

19

21

22

24

25

26

28

29

34

X 3 CrTi 17

1.4510

7.7

 

 

 

16

17

19

20

21

22

23

24

26

27

28

35

X 6 CrNiTi 18-10

1.4541

7.9

 

 

 

15

16

18

20

21

22

24

25

27

28

29

36

X 6 CrNiNb 18-10

1.4550

7.9

 

 

 

15

16

18

19

20

22

23

24

26

27

28

37

X 6 CrNiMoTi 17-12-2

1.4571

7.98

 

 

 

13

15

17

18

20

21

22

24

25

 

 


No.

DIN Description

Material number

Density r

103 kg/m³

Thermal conductivity l

W/(m·K)

Case-hardened and heat-treated steels

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

38

C 22

1.0402

7.85

 

 

 

55-61

 

 

 

 

 

35-40

 

 

 

 

39

C 45 E

1.1191

7.85

 

 

 

47-52

 

 

 

 

 

32-37

 

 

 

 

Fine-grain and low-temperature steels

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

40

St E 255

1.0461

7.85

 

 

 

54

53

50

47

43

40

 

 

 

 

 

41

P 460 N

1.8905

7.85

 

 

 

40

41

41

40

38

36

 

 

 

 

 

42

13 MnNi 6-3

1.6217

7.85

 

 

 

41

 

 

 

 

 

 

 

 

 

 

Aluminium alloays

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

43

EN AW-Al 99,0

EN AW-1200

2.71

327

242

235

 

240

237

232

226

219

 

 

 

 

 

44

EN AW-AlMn 1 Cu

EN AW-3003

2.73

 

 

(202)

 

180

183

(177)

(171)

 

 

 

 

 

 

45

EN AW-AlMg 2,5

EN AW-5052

2.68

 

 

(134)

 

146

155

 

 

 

 

 

 

 

 

46

EN AW-AlMg 4,5 Mn 0,7

EN AW-5083

2.66

 

 

(113)

 

126

137

 

 

 

 

 

 

 

 

47

EN AW-AlMg 1 SiCu

EN AW-6061

2.7

 

 

(164)

 

172

176

(179)

(180)

 

 

 

 

 

 

48

EN AW-AlMg 1 Si

EN AW-6060

2.7

 

 

(209)

 

206

202

200

197

 

 

 

 

 

 


No.

DIN Description

Material number

Density r

103 kg/m³

Thermal conductivity l

W/(m·K)

Copper alloys

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

49

CuNi 10 Fe 1 Mn

CW 352 H

8.90

 

 

 

51.7

60.2

70

78.9

86.7

91.9

92

85.9

90

93.3

 

50

CuNi 30 Mn 1 Fe

CW 354 H

8.90

 

 

 

25.8

29.8

34.8

39.6

44.3

48.5

52.4

56.1

59.8

63.4

 

51

CuZn 39 Pb 3

(Ms 58)

CW 614 N

8.47

 

 

 

108

119

131

136

139

138

 

 

 

 

 

52

CuZn 39 Pb 0.5

(Ms 60 Pb)

CW 610 N

8.40

 

 

(68)

 

79

90

100

(111)

 

 

 

 

 

 

53

CuZn 28 Sn 1 As

(50 Ms 71)

CW 706 R

8.56

 

(99)

110

 

120

136

152

 

 

 

 

 

 

 

54

CuZn 38 Sn 1

(50 Ms 60)

CW 717 R

8.35

41

69

99

 

131

142

146

148

150

(151)

 

 

 

 

55

CuZn 20 Al 2 As

(50 Ms 76)

CW 702 R

8.33

 

(87)

100

 

112

125

(138)

 

 

 

 

 

 

 

56

CuSn 4

(Phosphor bronze)

CW 450 K

8.90

 

(65)

(77)

 

88.6

95.2

(112)

 

 

 

 

 

 

 

57

CuAl 8 Fe 3

(Aluminium bronze)

CW 303 G

7.70

 

(61)

72

 

83

94

(105)

 

 

 

 

 

 

 

Nickel alloys

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

58

Ni 99,2

2.4066

8.90

 

77.4

72.2

 

70

61.4

56.6

55.7

57.6

59.7

61.8

63.9

65.9

 

59

NiCu 30 Fe

2.4360

8.80

15.5

19.7

21.4

 

24.3

27.6

30.6

33.5

36.8

39.8

42.7

(45.6)

(49)

 

60

NiCr 15 Fe

2.4816

8.43

 

13.1

14.5

 

15.9

17.3

18.9

20.4

22.2

23.9

25.6

27.3

(29.1)

 

61

NiCr 21 Mo

2.4858

8.10

 

(9.7)

(11.4)

 

13.4

15.1

16.6

18.4

20

21.7

23.3

24.8

26.5

 

62

NiCr 22 Mo 9 Nb

2.4856

8.40

 

7.9

9.3

 

10.9

12.3

13.8

15.2

16.8

18.3

19.7

21.5

23.4

 

63

NiMo 16 Cr 15 W

2.4819

8.90

 

8.1

9.6

 

11.2

13

14.7

16.4

18.2

20

21.8

23.5

25.3

 

64

NiMo 16 Cr 16 Ti

2.4610

8.60

 

(7.6)

(9.6)

 

11.2

13.2

14.9

16.8

18.5

20.4

(22.7)

(24.7)

(26.8)

 

65

NiMo 28

2.4617

9.20

 

(10.1)

11.1

 

12.2

13.4

14.6

16

17.3

18.7

(19.9)

(21.2)

(22.5)

 


No.

DIN Description

Material number

Density r

103 kg/m³

Thermal conductivity l

W/(m·K)

Other materials

Density r

Thermal conductivity l, W/(m·K)

Temperature °C

20

-200

-100

0

20

100

200

300

400

500

600

700

800

900

1000

66

Ni 36

1.3912

8.20

 

 

 

13

15

16

18

19

 

 

 

 

 

 

67

TiAl 6 V 4

3.7165

4.43

 

 

 

6.5

7.6

9.1

10.5

12

13.4

15

 

 

 

 

68

EN-GJS-415

EN-JS 1030

7.1

 

 

 

26.8

28.8

30.3

30.9

38.8

30.4

 

 

 

 

 

69

GG (w. lamell. graphite)

 

7.08

 

 

 

42.5

41.8

40.8

39.6

38.2

36.7

 

 

 

 

 

© Springer Verlag Berlin Heidelberg 2013

Thermal conductivity of insulation material

Reference values of insulants for building application

 

Declared thermal conductivity in
W/(mK) at 10 °C

Water vapor diffusion resistance factor u

Apparent density in kg/m³

Mineral wool

0.035 - 0.05

1

20 - 200

Expanded polystyrene

0.35 - 0.05

20 - 100

20 - 30

Extruded polystyrene

0.03 - 0.036

80 - 250

30 - 50

Rigid polyurethane

0.025 - 0.04

40 - 200

35 - 80

Cellular glass (CG)

0.045 - 0.055

Vapor tight

110 - 130

Phenolic foam

0.020 - 0.045

10 - 60

40 - 200

Wood wool products (WW)

0.06 - 0.065

2 - 5

 

Vermiculite

0.06 - 0.07

 

60 - 200

Expanded perlite

0.045 - 0.07

3 - 5

45 - 85


Typical fouling resistances

Fouling resistances for water in shell and tube heat exchangers (m²K/W)

Temperature of heating medium

Up to 120°C

120–200°C

Temperature of water

50°C

Over 50°C

 

Flow velocity

Flow velocity

Cooling water

≤ 1 m/s

> 1 m/s

≤ 1 m/s

> 1 m/s

Seawater

0.00009

0.00009

0.00018

0.00018

Brackish water

0.00035

0.00018

0.00053

0.00035

Cooling tower and artificial spray pond:

 

 

 

 

 Treated make up

0.00018

0.00018

0.00035

0.00035

 Untreated

0.00053

0.00053

0.00090

0.00075

City or well water

0.00018

0.00018

0.00035

0.00035

River water:

 

 

 

 

 Clean

0.00035

0.00018

0.00053

0.00035

 Normal

0.00053

0.00035

0.00070

0.00053

Sewer

0.00141

0.00090

0.00175

0.00141

Muddy or silty water

0.00053

0.00035

0.00075

0.00053

Hard (over 250 ppm)

0.00053

0.00053

0.00090

0.00090

Engine jacket

0.00018

0.00018

0.00018

0.00018

Distilled or closed circle

0.00009

0.00009

0.00009

0.00009

Treated boiler feedwater

0.00018

0.00009

0.00018

0.00018

Boiler blowdown

0.00035

0.00035

0.00035

0.00035

Cooling water

Fouling resistance

Quench water

0.00045

Polyphosphate treatment

0.00015

Acid treatment

0.00008

Cold brine

0.0002–0.00033

Aqueous salt solutions

0.0002–0.00033

© Springer Verlag Berlin Heidelberg 2013


TEMA fouling resistances for oil refinery streams in shell-and-tube exchangers (m²K/W)

Crude oil and vacuum unit

a) gaseous

Vacuum overhead vapors

Atmospheric tower overhead vapors

Light Naphtha

0.00035

0.00018

0.00018

b) liquid

Crude oil  (desalted at 120°C. tube side velocity > 1.3 m/s)

             T < 120°C

0.00035 – 0.0007

120°C <T < 175°C

0.00053 – 0.0007

175°C < T < 230°C

0.00070 – 0.00088

230°C < T

0.00088 – 0.0011

Light gasoline

0.00018

Kerosene

0.00035

Heavy gas oil

0.00035 – 0.00053

Gasoline

0.00035 – 0.00053

Light gas oil

0.00053 – 0.00088

Heavy fuel oils

0.00088 – 0.0012

Vacuum tower bottoms

0.0018

Atmosphere tower bottoms

0.0012

Cracking and Coking

Bottoms Slurry Oil (u>1.5 m/s)

0.00053

Light Cycle Oil

0.00035–0.00053

Light Coker Gas Oil

0.00053–0.0007

Low-boiling liquid products

0.00053

Overhead vapors

0.00035

Heavy cycle oil

0.00053–0.0007

Heavy Coker Gas Oil

0.0007–0.00088

Catalytic Reforming, Hydrocracking and Hydrodesulfurization  

Reformer Charge

0.00027

Reformer Effluent

0.00027

Hydrocracker Charge and Effluent

≥ 0.00035

Hydrodesulfurization Charge and Effluent

≥ 0.00035

Recycle Gas

0.00018

Overhead vapors

0.00018

Liquid product spec. weight > 50°API

0.00018

Liquid product 30°API-50°API

0.00035


TEMA fouling resistances for oil refinery streams in shell-and-tube exchangers (m²K/W)

Light Ends Processing Streams

Overhead vapors and gases

0.00018

Liquid products

0.00018

Alkylation Trace Acid Systems

0.00035

Absorption Oils

0.00035–0.00053

Reboiler Streams

0.00035–0.00053

Visbreaker

Overhead vapor

0.00053

Visbreaker bottoms

0.00176

Catalytic Hydro Desulfurizer

Charge

0.0007–0.00088

Effluent

0.00035

H.T. Sep. Overhead

0.00035

Liquid products

0.00035

Stripper Charge

0.00053

Naphta Hydro Desulfurizer

Charge

0.00053

Effluent

0.00035

Naphtas

0.00035

Overhead

0.00025

HF alkylation

Charge

0.00018

Head condenser

0.00018

Product cooler

0.00018

Product reboiler

0.00035

Reactor charge

0.00035

Lube Oil Processing

Solvent Feed Mix

0.00035

Feed stock

0.00018

Raffinate

0.00018

Tar

0.00053–0.00088

Solvent

0.00018

Desulfurization

Overhead

0.00018

Cooler

0.00028

Return evaporator

0.00028

© Springer Verlag Berlin Heidelberg 2013


Fouling resistances for various fluids (m²K/W)

Oils:

Fuel Oil No.2

0.00035

Fuel Oil No.6

0.00088

Transformer oil

0.00018

Engine Lube oil

0.00018

Hydraulic Oil

0.00018

Quench Oil

0.0007

Pitch

0.0008

Tar

0.0009

Vegetable Oil

0.00053

Gases and Vapors:

Steam (non-oil bearing)

0.0000

Steam (oil bearing)

0.00018

Refrigerant vapors (oil bearing)

0.00035

Alcohol vapor

0.0000

Organic vapor

0.00009

Ammonia

0.00018

Carbon dioxide

0.00035

Combustion gas (coal)

0.00018

Combustion gas (natural gas)

0.00018–0.00035

Diesel exhaust gas

0.0018

Synthesis Gas

0.0018

Compressed air

0.00018–0.00035

Natural gas

0.00018

Nitrogen

0.00018–0.00035

Stable column overhead product

0.00018–0.00035

Fouling resistances for various fluids (m²K/W)

Liquids:

Refrigerant

0.00010–0.00018

Organic heat transfer liquid

0.00018–0.00035

Ammonia (non-oil bearing)

0.00018

Ammonia (oil bearing)

0.00053

Methanol solution

0.00035

Ethanol solution

0.00035

Glycol solution

0.00035

LPG. LNG

0.00018–0.00035

MEA- and DEA solution

0.00035

DEG- and TEG solution

0.00035

Stable column side stream

0.00018–0.00035

Stable column bottom stream

0.00018–0.00035

Caustic solutions

0.00035

Black liquor

0.0007–0.0014

© Springer Verlag Berlin Heidelberg 2013


Emissivity

Table 2 – Degrees of emission ε and directional degrees of emission εn (β=0) for some materials as a function of temperature T

Surface

T [K]

εn

ε

1. Metals  

Aluminum, rolled

443

0,039

0,049

 

773

0,05

 

–, highly polished

500

0,039

 

 

850

0,057

 

–, polished

373

0,095

 

–, roughly polished

373

0,18

 

–, oxidized at T = 872 K

472

0,11

 

 

872

0,19

 

–, strongly oxidized

366

0,2

 

 

777

0,31

 

Lead, gray oxidized

297

0,28

 

–, not oxidized

400

0,057

 

 

500

0,075

 

–, oxidized at T = 422 K

472

0,63

 

Bronze, 4 to 7% Al,

 

 

 

–, polished

422

0,03

 

 

1089

0,052

 

–, oxidized

422

0,08

 

 

1089

0,144

 

Chrome, polished

423

0,058

0,071

 

1089

0,36

 

Cobalt, polished

422

0,1

 

 

1089

0,225

 

–,oxidized

589

0,15

 

 

1089

0,3

 

Gold, highly polished

500

0,018

 

 

900

0,035

 

Copper, polished

293

0,03

 

–, slightly turned

293

0,037

 

–, black oxidized

293

0,78

 

–, oxidized

403

0,76

 

–, rubbed to a fine degree

293

0,07

 

Inconel, rolled

1089

 

0,69

–, sand-blasted

1089

 

0,79


Surface

T [K]

εn

ε

Iron and steel, highly polished

450

 

0,052

 

500

 

0,064

–, polished

700

 

0,144

 

1300

 

0,377

–, rubbed with sandpaper

293

 

0,242

Cast iron, polished

473

 

0,21

Cast steel, polished

1044

 

0,52

 

1311

 

0,56

Iron, roughly polished

373

 

0,17

Oxidized surfaces:

 

 

 

Iron sheet metal, rusty

293

 

0,612

–, strong rusty

292

 

0,685

–, from rolling

294

 

0,657

Cast iron, oxidized at T = 866 K

472

 

0,64

 

872

 

0,78

Steel, oxidized at T = 866 K

472

 

0,79

 

872

 

0,79

Steel sheet with a strong

 

 

 

Layer of oxide

297

 

0,8

Cast iron with a rough surface

 

 

 

Strongly oxidized

311 to 512

 

0,95

Molten surfaces:

 

 

 

Cast iron, molten

1572

0,29

 

Pure iron, molten

1789

0,42

 

 

2044

0,45

 

Cast

293

0,8–0,9

 

Glass

293

0,94

 

Fused quartz (7 mm)

555

0,93

 

 

1111

0,47

 

Rubber

293

0,92

 

Wood, planed oak

273 to 366

 

0,9

–, beech

343

 

0,91

Carbon, not oxidized

298

 

0,81

 

773

 

0,79

–, fibers

533

 

0,95

–, graphitic

373

 

0,76

 

773

 

0,71

Corundum, rough

353

0,85

0,84



Surface

T [K]

εn

ε

Lacquers, paints:

 

 

 

Oil paint, black

366

 

0,92

–, green

366

 

0,95

–, red

366

 

0,97

–, white

366

 

0,94

Lacquer, white

373

0,925

 

–, dull black

353

0,97

 

Bakelite

353

0,935

 

Red lead coating

373

0,93

 

Radiator surface paint (acc. VDI-74)

373

0,925

 

Enamel, white on iron

292

0,897

 

Magnesium oxide

550

0,55

 

 

1100

0,2

 

Marble, light gray polished

273 bis 366

 

0,9

Paper

273

 

0,92

 

366

 

0,94

Porcelain, white

295

 

0,924

Quartz fireclay

473

 

0,84

 

1073

 

0,56

 

1673

 

0,47

Silicon oxide

473

 

0,82

 

1073

 

0,52

 

1473

 

0,39

Thorium oxide

716

0,58

 

 

1100

0,21

 

Clay, glazed

298

 

0,9

–, dull

298

 

0,93

Uranium oxide

1300

 

0,79

 

1600

 

0,78

Wasser

273

0,95

 

 

373

0,96

 

Ice, smooth with water

273

0,966

0,92

–, rough frost

273

0,985

 

Snow

273

 

0,8

Brick, red

273 to 366

 

0,93

Steel, 0.25% to 1.2% C,

 

 

 

Slightly oxidized, molten

1833

0,27

 

 

1983

0,39

 

Magnesium, polished

311

0,07

 

 

811

0,18

 


Surface

T [K]

εn

ε

Brass, not oxidized

298

0,035

 

 

373

0,035

 

–, oxidized

473

0,61

 

 

873

0,59

 

Molybdenum

1000

0,096

 

 

2866

0,292

 

 

373

 

0,071

 

1673

 

0,17

Nickel, not oxidized

298

 

0,045

 

373

 

0,06

–, oxidized

473

 

0,37

 

873

 

0,478

Niobium, not oxidized

1089

 

0,19

 

1366

 

0,24

Palladium

422

0,026

 

 

1089

0,094

 

Platinum

422

0,022

 

 

1089

0,123

 

Mercury, not oxidized

298

0,1

 

 

373

0,12

 

Rhodium, polished

422

0,012

 

 

1089

0,068

 

Silver, polished

311

0,022

 

 

644

0,031

 

Tantalum, polished

422

0,03

 

 

1089

0,07

 

–, oxidized

422

0,42

 

 

1089

0,42

 

Titanium, oxidized

644

 

0,54

 

1089

 

0,59

Bismuth, shiny

353

0,34

0,366

Tungsten

298

 

0,024

 

773

 

0,071

 

1273

 

0,15

 

1773

 

0,23

Zinc, pure polished

500

0,045

 

 

600

0,055

 

Iron sheet with zinc surface

 

 

 

–, shiny

301

0,228

 

–, gray oxidized

297

0,276

 


Surface

T [K]

εn

ε

Tin, not oxidized

298

 

0,043

 

373

 

0,05

Iron, tin covered, shiny

297

 

0,06

2. Non metals

Aluminu moxide

366

 

0,9

 

673

 

0,76

 

1073

 

0,623

 

1600

 

0,4

Asbestos, cardboard

296

0,96

 

–, Paper

311

0,93

 

 

644

0,94

 

Asphalt

300

 

0,93

Concrete, rough

273 bis 366

 

0,94

Roofing felt

294

0,91

 

© Springer Verlag Berlin Heidelberg 2013