Optimal Solution of Differential Equations for Heat Conduction in Infinitely Large Flat Wall Models
Journal Title: International Journal of Applied Science and Mathematics - Year 2018, Vol 5, Issue 6
Abstract
Thermal protective clothing in high temperature environment is usually composed of multiple layers of insulation materials. It is of great significance to study the establishment of thermal conductivity model of multilayer protective clothing and the optimal solution of thickness. In this paper, based on the infinite large-wall heat conduction model, the Fourier heat conduction law is transformed to derive the heat conduction differential equation, and the segmented partition analysis method is adopted for the established combined model. The multi-layer infinitely large flat-wall heat conduction model in solids and the theoretical model of convective heat transfer in gas are respectively established and combined into a change function of tempera- -ture and distance at a single moment. Temperature-based logistic regression was performed using MATLAB based on available time and skin surface temperature statistics. Combined with two independent variables affecting the time and distance of temperature, the analytical solution of the "high temperature environment-clothing-air layer-skin" heat conduction partial differential model is solved.
Authors and Affiliations
Weijian Mao, et al.
Keywords
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