Application of the Finite Element Method to the Two-Dimensional Nonlinear Inverse Heat Conduction Problem

摘要

The calculation of the surface temperature and surface heat flux from measured temperature transients at one or more interior points of a body is identified in the literature as the inverse heat conduction problem. An inverse solution technique applicable to the two-dimensional nonlinear model with temperature dependent thermophysical properties is presented. The technique utilizes a finite element heat conduction model and a generalization of Beck's one-dimensional nonlinear estimation procedure. Results are presented to demonstrate that the inverse formulation is capable of successfully treating experimental data. (ERA citation 05:034987)