Sensitivity Analysis of Temperature Field in Domain of Skin Tissue with Respect to Perturbations of Protective Clothing Parameters

摘要

The aim of considerations is the numerical modeling of thermal processes proceeding in the system external heat source-protective clothing-air gap-human skin and next the application of sensitivity analysis methods to study the impact of clothing parameters on the transient temperature field in domain of skin tissue. From the mathematical point of view the problem is described by the system of Fourier and Pennes equations determining the transient temperature field in the successive sub-domains. This system is supplemented by the appropriate boundary and initial conditions. Taking into account the geometrical properties of the domain considered, the ID solution seems to be sufficiently exact (e.g. chest or back). The sensitivity model is constructed on the basis of the so-called direct approach. The equations creating the mathematical model of the process considered are differentiated with respect to selected parameter. At the stage of numerical modeling the 1~(st) scheme of the boundary element method for parabolic equations has been used.