A study of thermal injuries when skin surface subjected under most generalized boundary condition

Abstract

In this paper, we studied a mathematical model describing the process of heat transfer in multi-layer of skin when the skin surface is subjected to the most generalized boundary conditions (B.C.): a multi-layer skin made of three different layers known as the epidermis, dermis, and subcutaneous layer, and each layer was studied separately. We considered time lagging heat transfer model with different physical parameters. Metabolic heat varies linearly with temperature. The mathematical model has been solved using the Finite Element Legendre Wavelet Galerkin Method (FELWGM). In the epidermis layer, we analyzed the effect of diffusion and vaporization of water which increases heat loss in a skin layer. The obtained results are shown graphically and found close to the exact solution in a special case. The effect of lagging time, perfusion of blood, vaporization, and diffusion of water on temperature related to the burning of skin layer are analyzed and discussed in detail for the three layers. © 2020 by Begell House, Inc. www.begellhouse.com.