Numerical study on triple layer skin tissue freezing using dual phase lag bio-heat model

•Phase lags in heat flux and temperature gradient in heat conduction model.•Mathematical model for freezing in three layer skin tissue is developed.•Non ideal property of tissue, metabolism and blood perfusion are considered.•Numerical solution of model using finite difference method is obtained.•Effects of phase lags and comparison of three heat conduction models are studied.

The present article proposes dual-phase lag (DPL) bio-heat model in triple layer skin tissue for freezing procedure during cryosurgery with non-ideal property of tissue, metabolism and blood perfusion. The enthalpy formulation and the finite difference schemes are used to evaluate temperature distribution, solidus and liquidus interfaces in soft skin tissue during the freezing process. The effect of phase lags of heat flux and temperature gradient are also discussed in this study. It is mentioned that the different values of phase lags of heat flux and temperature gradient have important effect on temperature distribution, liquidus and solidus interfaces within the skin tissue.