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Barometric Distribution of Hard Sphere Gas
Journal of Applied Mechanics and Technical Physics ( IF 0.6 ) Pub Date : 2019-11-01 , DOI: 10.1134/s002189441906004x
I. N. Cherepanov , P. V. Krauzin

Gas particle distribution simulated by hard spheres and located in a gravitational field at a constant temperature is under study. A hard sphere model is poorly applicable to real gases, but it can be used to describe the distribution of nanoparticles in a colloidal suspension. Various models of weakly nonideal gas are compared: virial expansion up to a second coefficient, a Wertheim-Thiel equation in a Percus-Yevick approximation, and a Carnahan-Starling approximation. In the case of virial expansion, an exact analytical solution for an equation of particle distribution by height is obtained. For more complex models, solutions are found using numerical methods. It is shown that accounting for a finite particle size leads to significant changes in the particle distribution as compared to the ideal gas distribution even at small volume fractions. The results obtained using virial expansion are in good agreement with the results obtained using more complex models provided that the volume fraction of the impurity does not exceed 0.1.

中文翻译:

硬球气体的气压分布

由硬球模拟并位于恒定温度下的重力场中的气体粒子分布正在研究中。硬球模型不适用于实际气体,但可用于描述胶体悬浮液中纳米颗粒的分布。比较了各种弱非理想气体模型:高达第二个系数的维里膨胀、Percus-Yevick 近似中的 Wertheim-Thiel 方程和 Carnahan-Starling 近似。在维里膨胀的情况下,可以获得粒子高度分布方程的精确解析解。对于更复杂的模型,可以使用数值方法找到解决方案。结果表明,即使在小体积分数下,与理想气体分布相比,考虑到有限的颗粒尺寸也会导致颗粒分布发生显着变化。
更新日期:2019-11-01
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