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

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

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.