An insulated steam pipe is used to transport high-temperature steam from one building to another. The pipe has a diameter of 500 mm, a surface temperature of 164 °C and is exposed to ambient air at -10 °C. The pipe is subjected to an external forced convection as the air moves in a cross-flow over the pipe at a speed of 5 m/s (see figure below). a. What are the main assumptions? b. What is the heat loss per unit length of pipe without insulation? c. What is the heat loss per unit length of pipe if the insulation thickness is 10 mm? V = 5 m/s Too=-10 °C Air Tsi= 150 °C !! Insulation k, = 0.026 W/m-K -T20 D= 500 mm- Osôs 50 mm Steam

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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.41P
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An insulated steam pipe is used to transport high-temperature steam from one building to another. The
pipe has a diameter of 500 mm, a surface temperature of 164 °C and is exposed to ambient air at -10 °C.
The pipe is subjected to an extermal forced convection as the air moves in a cross-flow over the pipe at a
speed of 5 m/s (see figure below).
a. What are the main assumptions?
b. What is the heat loss per unit length of pipe without insulation?
c. What is the heat loss per unit length of pipe if the insulation thickness is 10 mm?
V = 5 m/s
Too= -10 °C
Air
Tsi = 150 °C
Insulation k, = 0.026 W/m-K
D = 500 mm
Ts.o
Os8s 50 mm
Steam
Thermophysical Properties of Air at Atmospheric Pressure'
k 10
4.107
(N-s/m)
v• 10
(m/s)
a 10
(m/s)
T
(K)
(kg/m')
(kJ/kg - K)
(W/m K)
Pr
100
3.5562
1.032
71.1
2.00
9.34
2.54
0.786
150
2.3364
1.012
103.4
4.426
13.8
5.84
0.758
200
1.7458
1.007
132.5
7.590
18.1
10.3
0.737
250
1.3947
1.006
159.6
11.44
22.3
15.9
0.720
300
1.1614
1.007
184.6
15.89
26.3
22.5
0.707
350
0.9950
1.009
208.2
20.92
30.0
29.9
0.700
400
0.8711
1.014
230.1
26.41
33.8
38.3
0.690
1.021
1.030
450
0.7740
250.7
32.39
37.3
47.2
0.686
500
0.6964
270.1
38.79
40.7
56.7
0.684
550
0.6329
1.040
288.4
45.57
43.9
66.7
0.683
For gases at atmospheric pressure, the ideal gas model applies, and p- p/RT.
Convection Heat Transfer Correlations for External Flow
Flow
Correlation
Range of Applicability
0.62 Re2 Pr3
1/4
5/8 4/5
hD
0.3 +
k
Rep
282,000
Cylinder Nup =.
Rep Pr 0.2
Transcribed Image Text:An insulated steam pipe is used to transport high-temperature steam from one building to another. The pipe has a diameter of 500 mm, a surface temperature of 164 °C and is exposed to ambient air at -10 °C. The pipe is subjected to an extermal forced convection as the air moves in a cross-flow over the pipe at a speed of 5 m/s (see figure below). a. What are the main assumptions? b. What is the heat loss per unit length of pipe without insulation? c. What is the heat loss per unit length of pipe if the insulation thickness is 10 mm? V = 5 m/s Too= -10 °C Air Tsi = 150 °C Insulation k, = 0.026 W/m-K D = 500 mm Ts.o Os8s 50 mm Steam Thermophysical Properties of Air at Atmospheric Pressure' k 10 4.107 (N-s/m) v• 10 (m/s) a 10 (m/s) T (K) (kg/m') (kJ/kg - K) (W/m K) Pr 100 3.5562 1.032 71.1 2.00 9.34 2.54 0.786 150 2.3364 1.012 103.4 4.426 13.8 5.84 0.758 200 1.7458 1.007 132.5 7.590 18.1 10.3 0.737 250 1.3947 1.006 159.6 11.44 22.3 15.9 0.720 300 1.1614 1.007 184.6 15.89 26.3 22.5 0.707 350 0.9950 1.009 208.2 20.92 30.0 29.9 0.700 400 0.8711 1.014 230.1 26.41 33.8 38.3 0.690 1.021 1.030 450 0.7740 250.7 32.39 37.3 47.2 0.686 500 0.6964 270.1 38.79 40.7 56.7 0.684 550 0.6329 1.040 288.4 45.57 43.9 66.7 0.683 For gases at atmospheric pressure, the ideal gas model applies, and p- p/RT. Convection Heat Transfer Correlations for External Flow Flow Correlation Range of Applicability 0.62 Re2 Pr3 1/4 5/8 4/5 hD 0.3 + k Rep 282,000 Cylinder Nup =. Rep Pr 0.2
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