Consider a circular tube of diameter Dand length L,with a

Chapter 8, Problem 8.11

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Consider a circular tube of diameter Dand length L,with a mass flow rate of . (a) For constant heat flux conditions, derive an expres-sion for the ratio of the temperature differencebetween the tube wall at the tube exit and the inlettemperature, Ts(x?L)?Tm,i, to the total heattransfer rate to the fluid q. Express your result interms of , L, the local Nusselt number at the tubeexit NuD(x?L), and relevant fluid properties.(b) Repeat part (a) for constant surface temperatureconditions. Express your result in terms of , L, theaverage Nusselt number from the tube inlet to the tube exit , and relevant fluid properties.

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