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arXiv 2008.12862physics.flu-dyn
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自由演变颗粒悬浮液的颗粒分辨模拟:流动物理和建模

Particle-resolved simulation of freely evolving particle suspensions: Flow physics and modeling

Vahid Tavanashad, Alberto Passalacqua, Shankar Subramaniam

摘要:

本研究的目的是了解自由演变的颗粒悬浮液在很宽的范围内的颗粒与流体的密度比的动力学。颗粒悬浮的动力学由平均动量方程表征,其中对颗粒和流体之间的平均动量传递的主要贡献是平均拖曳力。在这项研究中,平均阻力量化使用粒子分辨直接数值模拟在一个典型的问题:一个统计均匀的悬浮液,其中施加的平均压力梯度建立一个稳定的平均滑移速度之间的阶段。分别研究了颗粒速度波动、颗粒聚团和颗粒迁移率的影响。结果表明,这些因素的竞争效应可以减少,增加,或保持恒定的阻力自由演变悬浮液相比,固定床在不同的流动条件。它还表明,颗粒的聚集和颗粒速度波动的影响是不独立的。最后,提出了一个相关的相间阻力的体积分数,雷诺数和密度比。两种不同的方法(符号回归和预定义的功能形式)被用来开发的阻力相关性。由于这种阻力相关性是从颗粒悬浮物的模拟中推断出来的,因此它包括了颗粒运动的影响。该阻力相关性可用于含颗粒流的计算流体动力学模拟,该模拟求解平均双流体方程,其中阻力定律的准确性影响整体流动行为的预测。

英文摘要:

The objective of this study is to understand the dynamics of freely evolving particle suspensions over a wide range of particle-to-fluid density ratios. The dynamics of particle suspensions are characterized by the average momentum equation, where the dominant contribution to the average momentum transfer between particles and fluid is the average drag force. In this study, the average drag force is quantified using particle-resolved direct numerical simulation in a canonical problem: a statistically homogeneous suspension where an imposed mean pressure gradient establishes a steady mean slip velocity between the phases. The effects of particle velocity fluctuations, particle clustering, and mobility of particles are studied separately. It is shown that the competing effects of these factors could decrease, increase, or keep constant the drag of freely evolving suspensions in comparison to fixed beds at different flow conditions. It is also shown that the effects of particle clustering and particle velocity fluctuations are not independent. Finally, a correlation for interphase drag force in terms of volume fraction, Reynolds number, and density ratio is proposed. Two different approaches (symbolic regression and predefined functional forms) are used to develop the drag correlation. Since this drag correlation has been inferred from simulations of particle suspensions, it includes the effect of the motion of the particles. This drag correlation can be used in computational fluid dynamics simulations of particle-laden flows that solve the average two-fluid equations where the accuracy of the drag law affects the prediction of overall flow behavior.

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