Abstract
A semianalytical method based on the separation of variables is presented to solve the problem of heat transfer in multilayer skin tissues. This method is used to predict the temperature field and thermal damage of skin tissues, which are subjected to the time-varying laser heating and fluid cooling. The effect of convective heat transfer coefficient of the skin surface on temperature field and thermal damage is studied. The temperature field and thermal damage of skin tissue with different laser heating cycles are calculated. The relationship between the laser heating period and the temperature fluctuation is obtained. The effects of the peak time of laser heating on temperature and the thermal damage of skin tissues are investigated. The relationship between the peak time of laser and the temperature fluctuation of skin tissue is drawn. The results calculated in this paper can provide some guidance for hyperthermia of skin tissue. The presented semianalytical method can be applied to solve the general heat transfer problems of multilayer structures.
Highlights
Ermophysical parameters of different layers of skin tissue are different
Temperature field of skin tissue during laser heating and fluid cooling is obtained by the semianalytical solution. e effects of several parameters such as convective heat transfer coefficient, period, and peak time of laser heating on temperature field are studied. ese parameters can be used to control the temperature of the skin tissue and the thermal damage in the appropriate range
Compared with the traditional finite element method, finite difference method, Laplace transform method, and so on, this method has clearer physical meaning and higher calculation efficiency. e temperature field and thermal damage of skin tissue during laser hyperthermia are predicted by the analytical solution derived in this paper
Summary
It is difficult to solve the heat transfer model of skin tissue by analytical method [9, 11, 21, 22]. Several papers used analytical methods, but all of them treated skin tissue as a single layer [12]. A semianalytical method is developed to solve heat transfer in multilayer skin tissues. En the temperature function at the interface of different layers of skin tissue is assumed to be linear in a small period of time. The analytical solution of separated variables of skin tissue heat transfer is deduced in a small period of time. Temperature field of skin tissue during laser heating and fluid cooling is obtained by the semianalytical solution. Human skin tissue consists of epidermis, dermis, and subcutaneous. e geometric model of skin tissue is shown in Figure 1. e corresponding mathematical model can be established by combining the boundary conditions. e governing equation can be expressed as (1) [2, 24,25,26,27]: Epidermis
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