Application of Differential Equation in Heat Conduction Model
Journal Title: International Journal of Applied Science and Mathematics - Year 2018, Vol 5, Issue 6
Abstract
Heat conduction is a phenomenon of heat transfer without macroscopic motion in the medium, and heat transfer will occur as long as there is temperature difference between the medium and the medium. As a main way of heat transfer, heat transfer theory is widely used, such as heating vulcanization of rubber products, heat treatment of steel forgings and so on. In the study of this kind of problem, most literatures use the method of partial differential equation to solve this kind of problem, but it is difficult to get the analytical solution and numerical solution. In this paper, based on the design of a certain professional garment, the establishment of ordinary differential equations as a theoretical basis, aimed at analyzing the heat conduction process in different locations of the temperature changes with time. When considering this model, the energy loss per unit time heat source can be correlated with the parameters of the medium by Fourier heat conduction law from microscopic point of view, and the total heat loss of the heat source can be correlated with temperature by energy conservation law from macroscopic point of view. In this paper, the relationship between these two aspects is established by using the ordinary differential equations, and the curves of temperature variation with time at different locations are obtained.
Authors and Affiliations
Hong - Dan Yin
Keywords
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