A thin-walled cylindrical container of diameter Dandheight

Chapter 10, Problem 10.76

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A thin-walled cylindrical container of diameter Dandheight Lis filled to a height ywith a low boiling pointliquid (A) at Tsat,A. The container is located in a largechamber filled with the vapor of a high boiling pointfluid (B). Vapor-B condenses into a laminar film on theouter surface of the cylindrical container, extendingfrom the location of the liquid-A free surface. The con-densation process sustains nucleate boiling in liquid-Aalong the container wall according to the relation q??C(Ts?Tsat)3, where Cis a known empirical constant. (a) For the portion of the wall covered with the con-densate film, derive an equation for the averagetemperature of the container wall, Ts. Assume thatthe properties of fluids A and B are known.(b) At what rate is heat supplied to liquid-A?(c) Assuming the container is initially filled com-pletely with liquid, that is, y?L, derive anexpression for the time required to evaporate allthe liquid in the container.

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