A thin electrical heating element provides a uniform heat

Chapter , Problem 1.78

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A thin electrical heating element provides a uniform heat flux q o to the outer surface of a duct through which airflows. The duct wall has a thickness of 10 mm and a thermal conductivity of 20 W/m K. (a) At a particular location, the air temperature is 30 C and the convection heat transfer coefficient between the air and inner surface of the duct is 100 W/m2 K. What heat flux q o is required to maintain the inner surface of the duct at Ti 85 C? (b) For the conditions of part (a), what is the temperature (To) of the duct surface next to the heater? (c) With Ti 85 C, compute and plot q o and To as a function of the air-side convection coefficient h for the range 10 h 200 W/m2 K. Briefly discuss your results.

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