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首页> 外文期刊>International Journal of Thermophysics >The Validity of Using the Microscopic Parabolic Heat Conduction Model in Place of the Macroscopic Parabolic Model Under the Effect of a Moving Heating Source
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The Validity of Using the Microscopic Parabolic Heat Conduction Model in Place of the Macroscopic Parabolic Model Under the Effect of a Moving Heating Source

机译：在移动热源作用下使用微观抛物线导热模型代替宏观抛物线模型的有效性

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摘要

The validity of the use of the microscopic parabolic heat conduction model under the effect of a moving heating source is investigated. Two configurations are considered which are the finite and the semi-infinite domains. For each configuration, two types of thermal boundary conditions are considered which are the isothermal and the insulated types. Four dimensionless parameters are found to control the thermal behavior of the considered problem which are the dimensionless heating source speed U, heat capacity ratio C R, dimensionless amplitude of the heating source S 0, and dimensionless plate thickness ξ0 for the finite domain configuration. It is found that the use of the microscopic parabolic heat conduction model instead of the parabolic macroscopic model is essential when the dimensionless speed of the source U > 0.1 The heat capacity ratio C R is found to have insignificant effect on the domain thermal behavior. However, the deviation between the microscopic and macroscopic models increases as ξ0 decreases. The deviation between the two models is significant within the very early stages of time.
机译：研究了在移动的热源作用下使用微观抛物线热传导模型的有效性。考虑两种配置，分别是有限域和半无限域。对于每种配置，考虑两种类型的热边界条件，即等温和绝热类型。发现了四个无因次参数来控制所考虑问题的热行为，即无因次热源速度U，热容比CR ，无因次热源S 0 和无因次板厚度ξ0。 用于有限域配置。发现当源的无量纲速度U> 0.1时，使用微观抛物线导热模型代替抛物线宏观模型是必不可少的。发现热容比CR 对区域热的影响很小。行为。然而，微观模型和宏观模型之间的偏差随着ξ0的减小而增大。两种模型之间的偏差在很早的阶段就很明显。

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