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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 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

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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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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