Simplified model of thermal interactions between environment, protective clothing and skin tissue

Abstract

Abstract. In the paper the simplified model of thermal processes proceeding in the domain of biological tissue secured with protective clothing is discussed. In particular, the simplification of the mathematical model consists in the omission of the real layer of fabric for which the transient temperature field is determined by the Fourier equation and the introduction in this place of the additional thermal resistance appearing in the boundary condition determining the heat exchange between tissue and environment. In this way both the mathematical model of the thermal processes in the system considered and also numerical realization are greatly simplified. To verify the effectiveness of the approach proposed, the solution of the basic problem and the simplified one have been solved (1D task) using the finite difference method and the results have been compared. It turned out that the results are close and from the practical point of view such simplification is fully acceptable.

Modeling of thermal contact through gap with the use of Finite Element Method

“…At the edge , g s Γ where the contact gap is located, the following condition must be fulfilled [6,8] …”

“…Currently the ideal and non-ideal thermal contact is the subject of interest of many scientists. Consideration of contact between adjoining areas is required in modelling both the solidification prob-lems where the mold is in contact with the casting [4,5] as well as the problems of heat flow in biological tissues [6][7][8]. Thermal contact can also be used in the problems of damage identification [9].…”