Keywords
moving boundary
inverse heat conduction problem
How to Cite
Abstract
we studied the inverse problem on a half-line for a composite medium consisting of a protective layer with low thermal conductivity and the underlying material. A temperature sensor is placed at the interface between the two media, allowing the determination of temperature on the outer surface of the protective layer. The boundary moves as the protective layer decays according to a piecewise-linear law, which can be determined experimentally and is considered known. The temperature at the moving boundary is fixed and equal to the destruction temperature of the protective layer.
When the layer finishes decaying, the problem reduces to a case with a homogeneous initial condition on the material, for which the solution is already known. To account for heterogeneity in the initial condition, it is necessary to construct it accurately by solving the problem with the moving boundary. Therefore, we constructed an exact solution for the moving-boundary problem under piecewise-linear motion, after which the problem reduces to the already solved case. The article also briefly summarizes the solution to the inverse problem we previously proposed.
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