Asymptotic analysis of transient heating on the triple-layered skin tissue with temperature dependent blood perfusion rate

An effective procedure to explore the thermal response of living skin tissue exposed on severe thermal circumstance is proposed in this paper. The triple-layered inner structure with variable blood perfusion is employed to construct the governing equations via the dual-phase-lag model of bio-heat transfer. An analytical procedure, based on the Laplace transform and its limit theorem, is then introduced to the solution, in which a linearization technique is prior to disperse the non-linear terms included in these governing equations. The thermal response of the skin tissue with its boundary subjected to a pulse heat flux is solved and verified. A detailed parametric study has been carried out to evaluate the effect of the temperature dependency, phase lags, and material distribution on thermal response and associated thermal damage.