Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 3, Problem 3.133P
(a)
To determine
Heat rate per unit width, thermal resistance, efficiency, effectiveness and tip temperature for different tip conditions.
(b)
To determine
Effect of length on the heat rate.
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Some sections of the Alaska pipeline above ground are supported by vertical steel supports (k = 25 W/mK), which have a length of 1 m and a cross-sectional area of 0.05 m². Under normal operating conditions, the temperature variation along the length of the steel support is given by the expression T = 100 – 150x + 10x², where T and x have units of °C and m, respectively. Temperature variations in the cross-sectional area of the support are negligible. Evaluate the temperature and the heat conduction rate at the pipeline-support junction (x = 0) and at the support-soil interface (x = 1 m). Explain the difference in heat rates.
The rod A has a cross sectional area 2376 mm2, modulus of elasticity 68 Gpa and thermal expansion coefficient 0.000022 1 / C . The rod B has a cross sectional area 874 mm2, modulus of elasticity 176 Gpa and thermal expansion coefficient 0.000019 1 / C . When the temperature T1=24 C a 0.5 mm gap exists between the ends of the rods. If the temperature T2=182 C. Answer the following questions:
A steel pipe (outside diameter 100 mm) is covered with two
layers of insulation. The inside layer, 40 mm thick, has a
thermal conductivity of 0.07 W/(m K). The outside layer,
20 mm thick, has a thermal conductivity of 0.15 W/(m K).
The pipe is used to convey steam at a pressure of 600 kPa. The
outside temperature of insulation is 24°C. If the pipe is 10 m
long, determine the following, assuming the resistance to
conductive heat transfer in steel pipe and convective resistance
on the steam side are negligible:
a. The heat loss per hour.
b. The interface temperature of insulation.
Chapter 3 Solutions
Introduction to Heat Transfer
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