Numerical estimation of the temperature-dependent thermophysical parameters using hybrid method of differential evolution and the Levenberg-Marquardt algorithm

A hybrid method of estimation the temperature-dependent thermophysical parameters is presented. The method of differential evolution (DE) developed by Storn and Price [1] is used at the beginning of calculations to find an initial set of coefficients which represent the unknown temperature depending thermophysical parameters in a priori given base of functions. Then a deterministic method based on a modified Newton-Raphson approach and the Levenberg-Marquardt algorithm is applied to find a minimum of the mean square functional J(u[^T]) involving the measured and the model temperature response of the system. The proposed hybrid method turned out to be very effective and efficient tool for solving the coefficient inverse heat conduction problem (CIHCP) of simultaneous estimation of the temperature-dependent thermal conductivity k[r](T), k[z](T) and the specific heat C[p](T) of an orthotropic material.