Effect of relaxation of internal heat source capacity on the temperature field in the semi-infinite body

The novel heat conduction equation which takes into account both the heat flux relaxation (the finite speed of thermal wave propagation) and the relaxation of internal heat source capacity is solved numerically by the MacCormack predictor - corrector method. The temperature field in the body due to a step change in heat flux at the surface is analysed for various ratios of relaxation times. It is shown that the relaxation of internal heat source capacity can have an appreciable influence on the temperature distribution in the body.