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首页> 外文期刊>Computational thermal sciences >A DISCRETE METHOD TO TREAT HEAT CONDUCTION IN COMPRESSIBLE TWO-PHASE FLOWS
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A DISCRETE METHOD TO TREAT HEAT CONDUCTION IN COMPRESSIBLE TWO-PHASE FLOWS

机译：可压缩两相流中导热的离散方法

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摘要

This paper deals with modeling of heat conduction in two-phase compressible flows. This kind of flow is predominant in propulsion, space, or defense applications. A total nonequilibrium model for two-phase compressible flows with heat conduction is first built. Without heat conduction, the Baer and Nunziato model is recovered. When heat conduction terms are present, extra nonconservative terms appear in the flow model and are responsible for interface condition satisfaction with heat conduction. When dealing with interface problems between compressible fluids, this model contains useless effects that may be omitted. That is why simpler models are derived. They are obtained by successive asymptotic reductions in the limit of stiff relaxation effects of velocities, pressures, and eventually temperature from the nonequilibrium model. The presented models respect conservation laws and guarantee entropy production. From a numerical point of view, a specific discrete explicit and implicit numerical method is developed to solve numerically heat conduction terms. Coupled with a suitable numerical method for two-phase compressible flows, an efficient method is obtained to simulate interface problems between compressible fluids with heat conduction. Analytical solutions of steady state problems of heat conduction in compressible single- and two-phase media are also specially derived to validate the numerical strategy.
机译：本文研究两相可压缩流中的热传导模型。这种流动主要在推进，空间或国防应用中。首先建立具有热传导的两相可压缩流的总非平衡模型。没有热传导，Baer和Nunziato模型得以恢复。当存在热传导项时，额外的非保守项会出现在流模型中，并导致界面条件对热传导的满意度。当处理可压缩流体之间的界面问题时，此模型包含无用的影响，可以将其忽略。这就是为什么导出更简单的模型的原因。它们是通过非平衡模型的速度，压力以及最终温度的刚性松弛效应极限的连续渐近减小而获得的。提出的模型尊重守​​恒定律并保证熵产生。从数值的角度出发，开发了一种特定的离散显式和隐式数值方法来求解数值导热项。结合适用于两相可压缩流的数值方法，获得了一种有效的方法来模拟具有导热性的可压缩流体之间的界面问题。还专门导出了可压缩单相和两相介质中热传导稳态问题的解析解，以验证数值策略。

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