Eur. Phys. J. Plus (2018) 133: 138
https://doi.org/10.1140/epjp/i2018-11971-6

Regular Article

Analytical studies of heat transport in the peripheral region of a human limb undergoing healing after surgery

Département d’informatique et d’ingénierie, Université du Québec en Outaouais, 101 St-Jean-Bosco, Succursale Hull, J8Y 3G5, Gatineau, Canada

^* e-mail: kengem01@uqo.ca

Received: 10 January 2018
Accepted: 7 March 2018
Published online: 9 April 2018

Abstract

In the present study, an axisymmetric one-dimensional Pennes bioheat transfer model is used to investigate analytically the heat transport in the peripheral region of a human limb undergoing healing after surgery. The analytical exact solution to the model is presented in terms of modified Bessel functions. Through the found analytical solution, the time-dependent temperature distribution of normal and abnormal tissues is investigated. Effects of different biological parameters like metabolic heat generation, rate of sweat evaporation, variable physiological parameters in dermal layer of peripheral region, and ambient temperature on temperature distribution are also studied.