Abstract

A transient heat conduction problem involving contact freezing of biological tissue is investigated. The problem is modeled by a free boundary problem of the Stefan-type with phase-change and body heating terms. The effects of metabolic heat generation and blood perfusion in the tissue are taken into account in the model. The model is solved numerically by an implicit finite-difference scheme employing the enthalpy method. The numerical results predict the temperature profile in the tissue surrounding the cryogenic probe and the location of the freezing front boundary with respect to time.

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