International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 2, Pages 403-408
doi:10.1155/S0161171289000475
Pseudo-analytic finite partition approach to temperature distribution problem in human limbs
V.P. Saxena1
and J.S. Bindra2
1School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, India
2Department of Applied Sciences, Mathematics Section, G.N. Engineering College, Ludhiana, India
Abstract
The main object of this paper is to Introduce the Pseudo Analytic Finite Partition method and to illustrate its use in solving physiological heat distribution problems pertaining to limbs and similar body organs. A two dimensional circular region resembling the cross section of a human or animal limb is considered. The biological properties are assumed to vary along the radial direction. The theoretical model incorporates the effect of blood mass flow and metabolic heat generation. The region is divided into annular sub-regions and Ritz variational finite element method is applied along the radial direction, while for the angular direction, Fourier Series has been used due to uniformity in each annular part.