Effect of Container Capacitance on Thermal Transients in Plane Walls, Cylinders, and Spheres

[+] Author and Article Information
G. E. Myers, D. J. Kotecki

Department of Mechanical Engineering, The University of Wisconsin, Madison, Wisc.

J. Heat Transfer 91(1), 67-72 (Feb 01, 1969) (6 pages) doi:10.1115/1.3580121 History: Received November 03, 1967; Online August 25, 2011


The effect of container capacitance on the thermal response of plane walls, infinite cylinders, and spheres subjected to sudden changes in ambient temperature is analyzed. A series solution is presented for each geometry which can be obtained by the method of separation of variables. The first three eigenvalues necessary for the numerical evaluation of the series are tabulated for each configuration. Analytical curves are presented which enable the engineer to determine whether the exact solution must be used or whether an additional approximation can be made which allows a simplification to results commonly found in heat transfer textbooks.

Copyright © 1969 by ASME
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