International Journal of Mathematics and Mathematical Sciences
Volume 12 (1989), Issue 2, Pages 403-408
Pseudo-analytic finite partition approach to temperature distribution problem in Human limbs
1School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, India
2Department of Applied Sciences, Mathematics Section, G.N. Engineering College, Ludhiana, India
Received 10 March 1987; Revised 8 September 1988
Copyright © 1989 V. P. Saxena and J. S. Bindra. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.