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.

Issue Section:
Technical Briefs
Keywords:
Ablation, Heat Transfer, Inverse, Numerical Methods, Phase Change.
Topics:
Ablation (Vaporization technology), Heat conduction, Heat flux, Heat transfer, Fourier series, Numerical analysis, Parameter estimation, Temperature measurement
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