Improved Lumped Parameter Method for Transient Heat Conduction Calculations

[+] Author and Article Information
H. G. Elrod

Nuclear Development Corporation; Mechanical Engineering Department, Columbia University, New York, N. Y.

J. Heat Transfer 82(3), 181-187 (Aug 01, 1960) (7 pages) doi:10.1115/1.3679903 History: Received June 29, 1959


A general mathematical method is presented suitable for the “lumping” of many damped linear systems when the response function and the forcing function can be related by a convolution integral. The method is illustrated by application to transient heat conduction in slabs and cylindrical rods. An ordinary differential equation (equation 26) relating the mean temperature of these bodies to their surface temperature is derived, and then applied to the solution of several problems. Agreement with exact results is found to be excellent except for very rapid transients. Means for estimating error are provided in the paper.

Copyright © 1960 by ASME
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