Unsteady Surface Element Method

[+] Author and Article Information
N. R. Keltner

Sandia National Laboratories, Albuquerque, NM 87185

J. V. Beck

Michigan State University, East Lansing, Mich. 48824

J. Heat Transfer 103(4), 759-764 (Nov 01, 1981) (6 pages) doi:10.1115/1.3244538 History: Received January 30, 1981; Online October 20, 2009


A method for the solution of transient heat conduction problems, called the unsteady surface element (USE) method, is developed and applied to several problems. The method is intended for thermally contacting bodies of similar or dissimilar geometries such as occur in contact conductance and intrinsic thermocouple problems. The method utilizes Duhamel’s integral in several ways. Two different procedures are presented, one utilizing temperature-based kernels and the other uses heat flux-based kernels. One of the given applications is to the intrinsic thermocouple problem. Several solutions are given and the results agree very well with two finite difference solutions.

Copyright © 1981 by ASME
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