Investigation of the Effects of Non-Linear and Non-Homogeneous Non-Fourier Heat Conduction Equations on Temperature Distribution in A Semi-Infinite Body

In this paper, the non-fourier heat conduction in a semi-infinite body was examined. the heat wave non-fourier heat conduction model was used for thermal analysis. thermal conductivity was assumed temperature-dependent which resulted in a non-linear equation. the heat source was also considered temperature-dependent which resulted in a non-homogeneous equation. the mac-cormack predictorcorrector numerical method was employed to solve the equations. it was concluded that, the non-linear analysis of the non-fourier heat transfer problems is of great importance. also, the case which assumed a temperature-dependent heat source had a considerable difference with the case in which a constant heat source was assumed.