Finite Propagation of Heat Transfer in a Multilayer Tissue

Abstract

analytical method to analyze the problem with the instantaneous surface heat flux. The numerical results are in a good agreement with the analytical solution that evidences the rationality and reliability of the present results. We discussed the deviations between the thermal wave model of bioheat transfer and the Pennes model. The predicted resultsdepictthatthetimederivativeofheat flux,therelaxationtime,andthecompositestructuresignificantlyaffect the thermal propagation behavior. The effects of � 1@q0;t=@t ≠ 0 on the results from the equation for the thermal wave model of bioheat transfer are also distinct. The finite propagation effect should be described in the heating surface boundary condition. Nomenclature B, C, D, E = coefficients c = specific heat of tissue, J=kg � � C cb = specific heat of blood, J=kg � � C k = thermal conductivity, W=m � � C L = length of tissue, m ‘ = distance between two neighboring nodes, m m = node number at the boundary surface qm = metabolic heat generation, J=m 3 qr = heat source for spatial heating, J=m 3 qw = amplitude of sinusoidal surface heating, J=m 3 s = Laplace transform parameter