Computational study on constant and sinusoidal heating of skin tissue using radial basis functions

Abstract

This paper concerns the study of heat distribution in skin tissue with constant and sinusoidal heat flux at the skin surface. Three types of heat transfer models, i.e., Pennes bioheat model, single-phase lag model, and dual-phase lag model based on Fourier and non-Fourier heat conduction, are taken into consideration. Also, Fourier, as well as non-Fourier boundary conditions, are considered at both the end of skin tissue for the single and dual-phase lag model of heat conduction. The resulting models are solved using finite difference and radial basis function (RBF) approximations for the temporal and spatial variables, respectively. The effects of these three models and other parameters involved in models on heat transfer in skin tissue are studied. The effects of Fourier and non-Fourier boundary conditions on heat transfer for single and dual-phase lag models are also studied.