Application of Finite Difference Domain Decomposition Method in Heat Conduction in Three-Layer Insulation Suit

Abstract

When working in a high temperature environment, people need to wear special clothing to avoid burns. The special clothing is usually composed of three layers of fabric materials, which are referred to as layers I, II and III. Layer I is in contact with the external environment directly. And there is also a gap between the layer III and the skin. We considered this gap as the layer IV. Firstly, it is assumed that heat balance exists between the air layer and the I layer, and between the IV layer and the dummy skin respectively. According to the experimental data of the outer skin temperature of the dummy and the principle of heat transfer, the heat exchange coefficient between the IV layer and the outer side of the skin is 0.0047. Using the heat balance relationship, the inner wall temperature of layer I is deduced, and the heat exchange coefficient between the air and the layer I is 0.0049. Secondly, the boundary conditions of the heat conduction model are obtained based on these heat exchange coefficients. And the one-dimensional heat conduction model of this special clothing is established. Since the medium of each layer of the special clothing is different, the diffusion coefficient of the equation is a piece-wise function. Combined the boundary conditions, we uses the implicit algorithm to obtain the discrete difference equations and ensure the stability of the numerical format. Finally, the temperature values of different space-time distributions are obtained.