Function and Parameter Estimation Approaches for the Solution of an Inverse Heat Conduction Problem

L.M. Pereira and H. R. B. Orlande
Department of Mechanical Engineering, EE/COPPE
Federal University of Rio de Janeiro, UFRJ
Cid. Universitária, Cx. Postal:68503
Rio de Janeiro, RJ, 21945-970
Brasil

M. N. Ozisik
Department of Mechanical and Aerospace Engineering
North Carolina State University, NCSU
PO Box: 7910
Raleigh, NC, 27695-7910
USA

Abstract

We solve here the inverse heat conduction problem involving the estimation of the unknown time-varying strength of a plane heat source in a slab. Three parameter estimation techniques and one function estimation technique are considered for the inverse analysis. They include the Levenberg-Marquardt method and the conjugate gradient method of parameter and function estimations. The techniques are compared for a case involving a known functional form for the sought function, as well as for a case where no information is available regarding such functional form.

Nomenclature
Introduction
Direct Problem
Inverse Problem
Solution Techniques
Results
Conclusions
Acknoledgements
References