Thermal processes proceeding in domain of biological tissue subjected to a strong external heat flux can cause the water evaporation effect (the concentration of liquid in the tissue is taken to be 79%). The phase change is assumed to occur between 98 and 102°C. This rather artificial range results from the mathematical model basing on a concept of fixed domain approach which is used in this paper. The high temperature of tissue can be an effect of accidental burns or conscious activities connected with the hyperthermia treatments. From the mathematical point of view the problem is described by the well known Pennes equation with additional term controlling the evaporation process and a set of boundary-initial conditions. On a stage of numerical simulation the finite difference method is used. The examples of computations are also presented.
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In the paper the application of the gradient method coupled with the boundary element method for numerical solution of the inverse parametric problem is presented. On the basis of the knowledge of temperature field in the domain considered the temperature dependent thermal conductivity is identified. The non-steady state is considered and 1D problem is discussed. In the final part of the paper the results of computations are shown.
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