Abstract

The goal of the proposed study is to analyze numerically and experimentally transient flux densities absorbed by specimen which is a typical thermal barrier. The studied composite material is obtained by thermal projection of a deposit of MCrAlY on a substrate in Copper. To solve this inverse heat conduction problem, we have used the implicit finite difference method for the direct problem and the iterative regularization method for the inverse problem. The developed numerical algorithm is based on the minimization of the residual functional which is the integrated difference between temperature histories measured and those calculated by solving the direct problem. The conjugate gradient method is used to solve the inverse problem. The residual functional gradient is computed by solving the adjoint problem and the optimal descent parameter is calculated by solving the problem for temperature variations. The heat flux evolution is approximated by cubic B-splines. The method is first validated with simulated numerically data and second validated experimentally by thermal cycling device. Temperature evolutions measured inside the specimen are used to solve the inverse problem.

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