Fundamentals of Heat and Mass Transfer
Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
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Chapter 10, Problem 10.76P

A thin-walled cylindrical container of diameter D and height L is filled to a height y with a low boiling point liquid (A) at T sat,A . The container is located in a large chamber filled with the vapor of a high boiling point fluid (B). Vapor-B condenses into a laminar film on the outer surface of the cylindrical container, extending from the location of the liquid-A free surface. The condensation process sustains nucleate boiling in liquid-A along the container wall according to the relation q = C ( T s T sat ) 3 , where C is a known empirical constant.

Chapter 10, Problem 10.76P, A thin-walled cylindrical container of diameter D and height L is filled to a height y with a low
(a) For the portion of the wall covered with the condensate film, derive an equation for the average temperature of the container wall, T s . Assume that the 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 completely with liquid, that is, y = L , derive an expression for the time required to evaporate all the liquid in the container.

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