TY - JOUR
TI - Analysis of the DPL bio-heat transfer equation with constant and time-dependent heat flux conditions on skin surface
AU - Poor Hamed Ziaei
AU - Moosavi Hassan
AU - Moradi Amir
JN - Thermal Science
PY - 2016
VL - 20
IS - 5
SP - 1457
EP - 1472
PT - Article
AB - 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.