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This article focuses on temperature response of skin tissue due to   time-dependent surface heat fluxes. Analytical solution is constructed for   DPL bio-heat transfer equation with constant, periodic and pulse train heat   flux conditions on skin surface. Separation of variables and Duhamel’s   theorem for a skin tissue as a finite domain are employed. The transient   temperature responses for constant and time-dependent boundary conditions   are obtained and discussed. The results show that there is major discrepancy   between the predicted temperature of parabolic (Pennes bio-heat transfer),   hyperbolic (thermal wave) and DPL bio-heat transfer models when high heat   flux accidents on the skin surface with a short duration or propagation   speed of thermal wave is finite. The results illustrate that the DPL model   reduces to the hyperbolic model when τT approaches zero and the classic   Fourier model when both thermal relaxations approach zero. However for τq = τT   the DPL model anticipates different temperature distribution with that   predicted by the Pennes model. Such discrepancy is due to the blood   perfusion term in energy equation. It is in contrast to results from the   literature for pure conduction material, where the DPL model approaches the   Fourier heat conduction model when τq = τT . The burn injury is also   investigated

Analysis of the dual phase lag bio-heat transfer equation with constant and time-dependent heat flux conditions on skin surface