Three Dimensional Seminumerical Model to Study Heat Flow in Peripheral Layers of Elliptical Shaped Human Limbs

A number of attempts have been made to study heat flow in circular cross-section of human limbs. But almost no attempt has been reported in literature about study of heat flow in the tissue layers of elliptical shaped human limbs. Therefore, a seminumerical model has been developed to study heat flow in peripheral layers of three-dimensional elliptical shaped human limbs for a steady state case. Appropriate variation in parameters like blood mass flow rate, metabolic activity and thermal conductivity has been incorporated in the model. Appropriate boundary conditions have been framed based on the assumptions that outer surface of the limbs is exposed to the environment. The finite element method has been employed along radial and angular direction and Fourier series method along axial direction to obtain temperature profiles in the region. Mathematics Subject Classification: 92C35 , 65L60