Numerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature-dependent thermal conductivity

Document Type : Original Article

Author

Department of Mathematics, University of Kashmir, Hazratbal, Srinagar 190 006, Jammu and Kashmir, India

http://dx.doi.org/10.1016/j.joems.2013.05.006

Abstract

The paper deals with the temperature distribution in multi-layered human skin and subcutaneous
tissues (SST). The model suggests the solution of parabolic heat equation together with
the boundary conditions for the temperature distribution in SST by assuming the thermal conductivity as a function of temperature. The model formulation is based on singular non-linear boundary value problem and has been solved using finite difference method. The numerical results were found similar to clinical and computationalresults.

Keywords