Inverse estimation of boundary heat flux for heat conduction model

Abstract EN

Mathematical model of direct and inverse problems is developed for the flat plate probe which is subjected to time dependent heat flux at one end, while the other end is kept insulated.

The direct solution, which is concerned with determination of the temperature distribution in the probe, is developed using an approach based on the method of variation of parameters.

The direct solution is used to solve the inverse heat conduction problem (IHCP) for any assumed heat flux.

In this paper, the piecewise linear interpolation model for heat flux is used.

The inverse algorithm is developed using the Levenberg-Marquardt method.

Different test cases for known heat flux profile are used to validate the inverse algorithm.

A satisfactory agreement between exact and estimated heat flux profiles is achieved.

The algorithm is used to estimate the heat flux for a flat plate probe developed at Ohio University.

Keywords : Direct problem, Inverse problem, Variation of parameters, IHCP