Open AccessNumerical study of partial differential equations to estimate thermoregulation in human dermal regions for temperature dependent thermal conductivity
Author(s) -
M. A. Khanday
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.05.006
Subject(s) - thermal conductivity , boundary value problem , partial differential equation , mathematics , finite difference method , thermoregulation , skin temperature , mathematical analysis , distribution (mathematics) , boundary (topology) , function (biology) , heat equation , subcutaneous fat , thermodynamics , mechanics , physics , chemistry , medicine , biomedical engineering , biochemistry , adipose tissue , evolutionary biology , biology , endocrinology
AbstractThe 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 computational results