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Homework_C8 - Homework Set 8 Using Shell Energy Balance to...

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Homework Set # 8: Using Shell Energy Balance to Obtain Temperature Profile Due Date 10 -21- 05 Problem #1: Consider a circular steel pipe having an inner diameter of 2.067 in., and wall thickness of 0.154 in. The pipe carrying steam is insulted with 2 in. of 85% magnesia covered in turn with 2 in. of cork. Estimate the heat loss per hour per foot of pipe if the inner surface of the pipe is at 250 o F and the outer surface of the cork is at 90 o F. The thermal conductivities (in Btu/hr.ft.F) of the substances concerned are: steel, 26.1; 85% magnesia, 0.04; cork, 0.03. Problem #2: An oil is acting as a lubricant for a pair of cylindrical surfaces such as those shown in Fig. 9.4-1 (see section 9-4 in the textbook, 1 st edition) or Fig.10.4-1 (2 nd edition). The angular velocity of the outer cylinder is 7908 rpm. The outer cylinder has a radius of 5.06 cm, and the clearance between the cylinders is 0.027 cm. What is the maximum temperature in the oil if both wall temperatures are know to be 158 o F? The physical
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