Analysis of heat transfer in a multilayear living tissue using the Galerkin weighted residual method

In this paper, the thermal behavior of a living biological tissue during electromagnetic radiation thermal therapy is investigated. While, a large number of studies devoted to the Fourier and non-Fourier heat transfer in living tissue are anavilible for different boundary condition, less analytical asnd semi-analytical works exist on the heat transfer in the multilayears tissue. In the present study, semi analytical Galerkin weighted residual method is used to solve the DPL non-Fourier heat transfer equation in the multilayer tissue with a tumor placed in. The results show that considering a multilayer tissue with temperature dependent properties for each layer is very effective on temperature distribution in the tissue, so that 2°C difference in tumor temperature after 1800 s is observed. The effect of the Vernot number on the temperature distribution shows that increasing the flux relaxation time results in reducing the temperature signal velocity and the tumor temperature. The results concerning the skin surface temperature and the blood perfusion rate indicate with lowering the surface temperature, the maximum temperature acces deeper in the tissue. Moreover, the reduction in the blood perfusion rate that accures in the hypoxy tumors results in the increase of the tumors temperatures during the thermal therapy.