Abstract
This paper considers hyperbolic heat conduction model for biological tissue freezing during cryosurgery with non ideal property of tissue, metabolism and blood perfusion. Mathematical model is solved numerically using finite difference method to obtain temperature distribution and phase change interfaces in tissue during freezing. The effects of phase lag of heat flux in hyperbolic bio-heat model on freezing process are studied. Comparative study of parabolic and hyperbolic bio-heat models is also made here.
Highlights
Phase change heat transfer is a broad field that finds applications in various engineering disciplines like in the making of ice, the freezing of food, the solidification of metals and alloy, thermal energy storage, cryosurgery and cryopreservation
Ahamdikia et al [1] studied the freezing in tissue using hyperbolic heat conduction model
Ciegis et al [10] have discussed about finite difference schemes for hyperbolic heat conduction equations
Summary
Phase change heat transfer is a broad field that finds applications in various engineering disciplines like in the making of ice, the freezing of food, the solidification of metals and alloy, thermal energy storage, cryosurgery and cryopreservation. In Pennes bio-heat equation, the heat conduction in biological tissue is modeled by using Fourier’s law q(t, x) = −k∇T (t, x),. The heat transfer in tissues, using hyperbolic bio-heat equation without phase change has been studied by Liu [26]. Ahamdikia et al [1] studied the freezing in tissue using hyperbolic heat conduction model In their study, they assumed the temperature discontinuity at solid-liquid interface and neglected the source of the heat due to blood perfusion and metabolism. They assumed the temperature discontinuity at solid-liquid interface and neglected the source of the heat due to blood perfusion and metabolism They applied isothermal and non-isothermal phase change in order to simulate heat transfer in cryopreservation. To study the effect of relaxation time for heat flux on freezing, temperature profiles in tissue and position of phase change interfaces are obtained for different values of relaxation time for heat flux τ
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