The Heat-Balance Integral—Further Considerations and Refinements

[+] Author and Article Information
Theodore R. Goodman

Allied Research Associates, Inc., Boston, Mass.

J. Heat Transfer 83(1), 83-85 (Feb 01, 1961) (3 pages) doi:10.1115/1.3680474 History: Received January 12, 1960


Integral methods have previously been applied to transient heat conduction in a slab with constant thermal properties. In this paper the method is extended so as to include temperature-dependent thermal properties in the analysis. In addition, it is shown how to improve the accuracy of a solution by increasing the order of the polynomial used to represent the temperature profile. For the case of a prescribed step surface temperature in a semi-infinite slab, a quartic profile is shown to give excellent accuracy.

Copyright © 1961 by ASME
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