Fundamentals of Heat and Mass Transfer – Problem 1.44

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Radioactive wastes are packed in a long, thin-walled cylindrical container. The wastes generate thermal energy nonuniformly according to the relation q = qo [1 – (r/ro)2], where q is the local rate of energy generation per unit volume, qo is a constant, and ro is the radius of the container. Steady-state conditions are maintained by submerging the container in a liquid that is at T∞ and provides a uniform convection coefficient h. Obtain an expression for the total rate at which energy is generated in a unit length of the container. Use this result to obtain an expression for the temperature Ts of the container wall.

All sample problem and notes are based off the following textbook: Fundamentals of Heat and Mass Transfer Seventh Edition

ISBN-13: 9780470501979

ISBN-10: 0470501979

Edition: 7

Author: Theodore L. Bergman, Adrienne S. Lavine, Frank P. Incropera, David P. DeWitt

Publication date: 2011

Publisher: Wiley

Format: Hardcover 1072 pages

9780470501979-0470501979-Fundamentals of Heat and Mass Transfer

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