STEADY-STATE TWO-DIMENSIONAL INVERSE HEAT CONDUCTION

Abstract

A method for analysis of multidimensional steady-state inverse heat conduction problems is presented. The method employs an adjoint formulation to approximate a set of sensitivity coefficients that relate temperature and heat flux observations to unknown surface conditions. The resulting nonsquare system of equations is regularized and subsequently solved in a least-squares sense. A technique is presented for evaluating the accuracy of the estimated surface conditions in terms of resolution and variance. The method is applied to example problems in two dimensions for cases in which limited information about the surface condition is available.