The Establishment of a Mathematical Model of Dedicated Heat-Protective Clothing and the Optimization of Design

摘要

In this paper, with the aim of designing dedicated heat-protective clothing for high temperatures, a mathematical model of a heat conduction system is established, and the temperature distribution on a dummy skin's surface, as well as the effects of various parameters on the temperature, are calculated via programming. Firstly, the partial differential equation is discretized into a linear equation; and next, the weakly-diagonally dominant equation is solved using the Gauss-Seidel iterative method in order to ensure a favorable convergence and stability. With regard to the solution for the thickness of a single layer and the thicknesses of multiple layers, this study combines a qualitative analysis and trial and employed dichotomy and a nested interval for determining the control method and the optimal strategy of the thicknesses of various layers under given temperature requirements. Accordingly, solutions related to speed and precision can be guaranteed.