Author: Manoj Kumar Sharma, V.P. Saxena and Pranveer Singh Tomar
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This chapter deals with the study of one dimensional steady state temperature distribution in human skin and subcutaneous tissue with burn injury. It is assumed that the outer surface of the skin is exposed to the hot source resulting pain and burn injury in the skin and subcutaneous tissue. Surrounding atmospheric temperature of the skin is assumed to be equal to hot source temperature. Skin is divided into two layers namely epidermis and dermis. According to biological structure of the region, the rate of blood mass flow, the rate of metabolic heat generation and the tissue thermal conductivity are assumed to be constants in epidermis and subcutaneous tissue but variables in dermis with respect to the position. Arterial blood temperature is taken position dependent. Mathematical model for steady state case is solved with the help of finite element method. Theoretical results are discussed numerically and graphically.
Finite Element Method (FEM) Rayleigh–Ritz Finite Element Method Variational Finite Element Method (VFEM)
The final results of this thesis are presented in the form of damage function which is calculated by incorporating time dependent local temperatures. These temperatures have been calculated analytically in this chapter for exposure of the body to hot atmosphere. Different thicknesses of skin layers have been assume to cover a variety of in-vivo samples. The values of damage function indicate variation for the thicknesses of sub-regions; in particular for the deeper parts. These results will prove useful information regarding burn injuries of a particular individual in relation with atmospheric conditions.
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