A New Solution of Nonlinear Bio-Heat Transfer Equation in Living Tissues Under Periodic Heat Flux in Tissue Surface

摘要

In the current paper, heat transfer phenomenon within a living tissue subjected to a transient heat flux is studied. The Dual Phase Lagging (DPL) non-Fourier heat conduction model is used for thermal analysis. The thermal conductivity is assumed temperature-dependent which results in a non-linear equation. The obtained equations are solved by using the approximate-analytical Adomian Decomposition Method (ADM). The effects of some important parameters such as Vernotte number and Fourier number in temperature distribution within a skin tissue are investigated. It is concluded that the method used in this study is a powerful tool for solving non-Fourier Partial Differential Equations (PDEs). In addition, it is found that the non-linear analysis is important in non-Fourier heat conduction problems.