Nonlinear Inverse Heat Conduction With a Moving Boundary: Heat Flux and Surface Recession Estimation

[+] Author and Article Information
V. Petrushevsky

MobileComm Ltd., Argaman Industrial Park, P. O. Box 16, Yavne 81550, Israel

S. Cohen

Heat Transfer Group, Israel Aircraft Industries, Ben Gurion International Airport, 70100, Israel

J. Heat Transfer 121(3), 708-711 (Aug 01, 1999) (4 pages) doi:10.1115/1.2826037 History: Received August 04, 1997; Revised April 20, 1999; Online December 05, 2007


A one-dimensional, nonlinear inverse heat conduction problem with surface ablation is considered. In-depth temperature measurements are used to restore the heat flux and the surface recession history. The presented method elaborates a whole domain, parameter estimation approach with the heat flux approximated by Fourier series. Two versions of the method are proposed: with a constant order and with a variable order of the Fourier series. The surface recession is found by a direct heat transfer solution under the estimated heat flux.

Copyright © 1999 by The American Society of Mechanical Engineers
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