RESEARCH PAPERS: Heat Conduction

Numerical Solution of the General Two-Dimensional Inverse Heat Conduction Problem (IHCP)

[+] Author and Article Information
A. M. Osman, K. J. Dowding, J. V. Beck

Heat Transfer Group, Department of Mechanical Engineering, Composite Materials and Structures Center, Michigan State University, East Lansing, MI 48824

J. Heat Transfer 119(1), 38-45 (Feb 01, 1997) (8 pages) doi:10.1115/1.2824098 History: Received January 19, 1996; Revised September 13, 1996; Online December 05, 2007


This paper presents a method for calculating the heat flux at the surface of a body from experimentally measured transient temperature data, which has been called the inverse heat conduction problem (IHCP). The analysis allows for two-dimensional heat flow in an arbitrarily shaped body and orthotropic temperature dependent thermal properties. A combined function specification and regularization method is used to solve the IHCP with a sequential-in-time concept used to improve the computational efficiency. To enhance the accuracy, the future information used in the sequential-in-time method and the regularization parameter are variable during the analysis. An example using numerically simulated data is presented to demonstrate the application of the method. Finally, a case using actual experimental data is presented. For this case, the boundary condition was experimentally measured and hence, it was known. A good comparison is demonstrated between the known and estimated boundary conditions for the analysis of the numerical, as well as the experimental data.

Copyright © 1997 by The American Society of Mechanical Engineers
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