Methodology for Comparison of Inverse Heat Conduction Methods

[+] Author and Article Information
M. Raynaud, J. V. Beck

Heat Transfer Group, Mechanical Engineering Department, Michigan State University, East Lansing, MI 48824

J. Heat Transfer 110(1), 30-37 (Feb 01, 1988) (8 pages) doi:10.1115/1.3250468 History: Received December 17, 1985; Online October 20, 2009


The inverse heat conduction problem involves the calculation of the surface heat flux from transient measured temperatures inside solids. The deviation of the estimated heat flux from the true heat flux due to stabilization procedures is called the deterministic bias. This paper defines two test problems that show the tradeoff between deterministic bias and sensitivity to measurement errors of inverse methods. For a linear problem, with the statistical assumptions of additive and uncorrelated errors having constant variance and zero mean, the second test case gives the standard deviation of the estimated heat flux. A methodology for the quantitative comparison of deterministic bias and standard deviation of inverse methods is proposed. Four numerical inverse methods are compared.

Copyright © 1988 by ASME
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