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首页> 外文期刊>International Journal of Heat and Mass Transfer >Conductive heat transfer in rarefied binary gas mixtures confined between parallel plates based on kinetic modeling
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Conductive heat transfer in rarefied binary gas mixtures confined between parallel plates based on kinetic modeling

机译：基于动力学模型的有限平行板之间的稀有二元气体混合物的导热

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The kinetic model introduced by Kosuge (2009) is implemented to solve heat transfer through rarefied binary gas mixtures confined between two parallel plates maintained at different temperatures. The results have been found to be in very good agreement with corresponding ones obtained by the Boltzmann equation, the DSMC method and the Chapman-Enskog analysis. The efficiency of the Kosuge model for this problem is clearly demonstrated in the whole range of the Knudsen number for various heat flow setups, even when the temperature difference between the plates is large. The following three intermolecular models have been implemented: Hard Sphere (HS), Lennard Jones (LJ), Realistic Potential (RP). The computed HS heat fluxes in the transition and viscous regimes vary significantly with the corresponding ones of the LJ and RP models, which are close to each other. Also, the intermolecular model has a significant effect on the distribution of the mole fraction between the plates, while it has a minor effect on the density and temperature distributions. Concerning the partial heat flux distributions of the light and heavy species it has been found that moving from the hot towards the cold plate the former one is decreasing, while the latter one is increasing with the total heat flux being always constant. Heat fluxes with partial thermal accommodation at the walls are reported for He-Ne and He-Xe. For the same mixtures dimensional heat fluxes in terms of the reference pressure are plotted indicating that the total heat fluxes of the mixture with various mole fractions are always bounded from below and above by the heat flux of the heavy and light species respectively. These data may be useful for comparisons with experiments. Applying the equivalent single gas approach, it is deduced that this concept is not useful in rarefied binary gas mixture heat flow problems, which should be treated by two coupled kinetic equations. Finally, the effective thermal conductivity approximation has been successfully applied, provided that the system Knudsen number remains adequately small.
机译：实施由Kosuge（2009）引入的动力学模型，以解决通过限制在两个保持不同温度的平行板之间的稀有二元气体混合物的传热问题。已发现结果与通过Boltzmann方程，DSMC方法和Chapman-Enskog分析获得的相应结果非常吻合。即使在板之间的温差较大时，在各种热流设置的Knudsen数的整个范围内，Kosuge模型的效率也得到了明显证明。已实现以下三个分子间模型：硬球（HS），伦纳德·琼斯（LJ），现实势（RP）。在过渡态和粘性态下，计算出的HS热通量随LJ和RP模型中彼此接近的LJ和RP模型中的相应变化显着。另外，分子间模型对板之间的摩尔分数的分布具有显着影响，而对密度和温度分布则具有较小的影响。关于轻质和重质物质的部分热通量分布，已经发现从热板向冷板移动，前者在减少，而后者在增加，而总热通量始终保持恒定。报道了氦氖和氦氙在壁上具有部分热适应的热通量。对于相同的混合物，绘制了参考压力方面的尺寸热通量，表明具有各种摩尔分数的混合物的总热通量始终始终分别由重和轻物质的热通量从下方和上方限定。这些数据可能有助于与实验进行比较。应用等效单气体方法，可以推论该概念在稀疏二元气体混合物热流问题中没有用，应通过两个耦合动力学方程来解决。最后，只要系统Knudsen数保持足够小，就可以成功应用有效的热导率近似值。

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