Numerical Solution of One Case of Inverse Heat Conduction Problems

[+] Author and Article Information
K. Kurpisz

Institute of Thermal Technology, Technical University of Silesia, Gliwice, Poland

J. Heat Transfer 113(2), 280-286 (May 01, 1991) (7 pages) doi:10.1115/1.2910558 History: Received May 18, 1989; Revised May 29, 1990; Online May 23, 2008


This paper is concerned with a method for solving one case of inverse heat conduction problems. The solution is presented in terms of a series containing the derivatives of the temperature with respect to time and shows no explicit dependence on the initial temperature distribution. In order to solve the problem some temperature histories at the interior points should be known. The derivatives are calculated with the aid of the regularization method. The results of some test cases are presented. Errors due to data accuracy, time steps, Biot numbers, etc. are investigated. The paper focuses on problems that are numerically formulated.

Copyright © 1991 by The American Society of Mechanical Engineers
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