NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION IN A FINITE SLAB WITH SPACE-DEPENDANT VOLUMETRIC HEAT SOURCE

摘要

In this paper, the non-Fourier heat conduction problem in a finite slab with volumetric heat generation is investigated numerically. A linear dependence on space for heat generation has been considered. MacCormack's explicit predictor corrector scheme is used for solving the wave propagation problem. Results show that the space-dependent heat generation strongly affects the temperature distribution. A temperature peak in the slab has been observed due to superposition of thermal waves. It has been shown that the magnitude of the temperature peak increases with increasing the slope of dimensionless heat generation function. In order to validate the approach, the results have been compared with the analytical solution which shows an excellent agreement.