MATHEMATICAL STUDY OF BLOOD CIRCULATION AND BIO-CHEMICAL REACTION BASED HEAT DISTRIBUTION PROBLEM IN HUMAN DERMAL REGION
By
Padam Sharma1 and V. P. Saxena2
¹Department of Mathematics, Government Girls College, Seoni Malwa, Madhya Pradesh, India-461221
²SOMAAS, Jiwaji University, Gwalior, Madhya Pradesh, India-474011
Email: ppadam83@gmail.com; vinodpsaxena@gmail.com
Corresponding Author: Email: ppadam83@gmail.com
(Received: January 07, 2023; In format: March 30, 2023; Revised: June 10, 2023; Accepted: June 12, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53137
Abstract
In this paper we study heat distribution in outer parts of human body incorporating effect of blood circulation and metabolic activities. We solve the bio heat equation of skin for steady state case using Whittaker function and Conuent Hypergeometric function. Some parameters are taken variable. A general model has been modified and solved mathematically for comparative study of heat flow in human skin. The structure of human skin is taken as heterogeneous medium and attempt has been made to solve it by analytic methods. Numerical computation has been carried out for various values of parameters.
2020 Mathematical Sciences Classification: 33C15,33C20, 92BXX
Keywords and Phrases: Physiological Heat Flow; Differential Equation; Whittaker function; Confluent Hypergeometric function.