An axisymmetric bioheat transfer analysis through a unified model

Abstract

A unified model is developed for the analysis of heat transfer (radiation and non-Fourier conduction) in an axisymmetric participating medium. The proposed model includes three different variants of hyperbolic-parabolic heat conduction models, that is, the single phase lag model, dual phase lag model, and the Fourier (no phase lag) model. The radiating-conducting medium is radiatively absorbing, emitting, and isotropically scattering.Significance of all the above mentioned models on the heat transfer characteristics is investigated in a twodimensional axisymmetric geometry. The equation of transfer and the coupled non-Fourier conductionradiation equation are solved via finite volume method.A fully implicit scheme is used to resolve the transient terms in the energy equation. For spatial resolution of radiation information, the STEP scheme is applied. Tridiagonal-matrix-algorithm is used to solve the resulting set of linear discrete equations. Effects of two important influencing parameters: the scattering albedo and the radiation-conduction parameter are studied on the temporal evolution of temperature field in the radiatively