Abstract

The classical Fourier’s law assumes that the propagation speed of thermal disturbance is infinite, which is contradictory to physical reality. The living tissues are highly non-homogeneous and need a relaxation time to accumulate enough energy to transfer to the nearest element. This study proposes hyperbolic bio-heat model to study the freezing process in triple layer skin tissue with non-ideal property of skin tissue, metabolism and blood perfusion. The enthalpy formulation and finite difference method are used to solve the hyperbolic bio-heat model for triple layer skin tissue freezing. The effects of relaxation time for heat flux on temperature profile, liquidus and solidus interfaces are studied during the freezing of skin tissue. It is observed that the different values of relaxation time for heat flux have significant effect on temperature distribution, liquidus and solidus interfaces within the skin tissue.

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