Modeling of Thermal Processes in Human Skin Layers When Measuring a Heat Flux Density

The method of modeling the temperature distribution and heat flux density distribution in the system “heat flux density sensor - human skin” is presented. For modeling thermal processes in this system the three-layers model of a human skin is used. In the system under consideration the domain of modeling is marked out which is replaced with the equivalent structure consisting of ten regions. The temperature distribution in each region is determined for Neumann boundary conditions by solving a heat differential equation with using eigenfunctions method. Heat flux densities on regions boundaries are the sums of orthogonal functions with unknown weighting coefficients the values of which are determined by means of solving a system of linear equations obtained from origin boundary conditions. These boundary conditions take into account the convective heat exchange with environment and temperature of a core tissue. The present method was used to determine the temperature distribution in the structure under consideration as well as the heat flux densities on the free skin area and the skin area with the sensor.