An inverse analysis to estimate relaxation parameters and thermal diffusivity with a universal heat conduction equation

摘要

This paper presents an inverse analysis for simultaneous estimation of relaxation parameters and thermal diffusivity with a universal heat conduction model by using temperature responses measured at the surface of a finite medium subjected to pulse heat fluxes. In the direct analysis, the temperature responses in a finite medium subjected to pulse heat flux is derived by solving the universal heat conduction equation The inverse analysis is performed by nonlinear least-squares method for determining the two relaxation parameters and thermal diffusivity. Here, the nonlinear system of algebraic equations resultant from the sensitivity matrix is solved by the Levenberg-Marquardt iterative algorithm. The inverse analysis is utilized to estimate the relaxation parameters and the thermal diffusivity from the simulated experimental non-Fourier temperature response obtained by the direct calculation.