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Inverse problem of simultaneous identification of thermophysical properties and boundary heat flux

Carlos A. A. Mota, Helcio R. B. Orlande, Olivier J. M. Wellele, Ville Kolehmainen and Jari Kaipio

In this paper we apply a Bayesian approach for the simultaneous identification of volumetric heat capacity, thermal conductivity and boundary heat flux, in a one-dimensional nonlinear heat conduction problem. It is assumed that the measurement noise and the unknown parameters are normally distributed and independent, so that the solution of the inverse problem is obtained via the minimization of the maximum a posteriori objective function. Results are presented for an experiment involving the heating of a sample material with an oxyacetylene torch.

Keywords: Inverse problem, Bayesian estimation, statistical inversion approach, maximum a Posteriori, oxyacetylene torch.

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