Fundamentals of Heat and Mass Transfer – Problem 1.44

ByEngineeringCheatSheet.com December 30, 2021October 12, 2022

Radioactive wastes are packed in a long, thin-walled cylindrical container. The wastes generate thermal energy nonuniformly according to the relation q = q_o [1 – (r/r_o)²], where q is the local rate of energy generation per unit volume, q_o is a constant, and r_o 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 T_sof 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

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