Collision rate of bidisperse spheres settling in a compressional non-continuum gas flow
Collision rate of bidisperse spheres settling in a compressional non-continuum gas flow
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双分散球体在压缩非连续气流中沉降的碰撞率
DOI：
10.1017/jfm.2020.942
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发表时间：
2021
影响因子：
3.7
通讯作者：
Koch, Donald L.
中科院分区：
文献类型：
--
作者：
Dhanasekaran, Johnson;Roy, Anubhab;Koch, Donald L.
本文研究了惯性可忽略的球体在多分散稀悬浮液中通过非连续流体动力学相互作用和在缓慢的单轴压缩流中沉降时的碰撞。理想的碰撞率的重力和单轴压缩流的相对强度的函数进行评估，它偏离显着这些驱动项的线性叠加。这种非平凡的行为加剧了粒子间的相互作用的基础上一致有效的非连续流体动力学，捕获非连续润滑在小的分离和完整的连续流体动力学的相互作用在较大的分离，阻碍碰撞驱动的纯粹由沉降显着超过那些纯粹由线性流动。虽然理想的碰撞率是弱依赖于重力与压缩轴的方向，包括流体动力学相互作用的速率变化超过方向。这种戏剧性的转变可以归因于粒子间相互作用驱动的复杂轨迹，这些相互作用防止粒子对碰撞或使碰撞路径迂回。这些和其他重要功能的碰撞过程中的详细研究，使用轨迹分析在近团结和显着小于单位尺寸比的相互作用的领域。对于每一种情况下进行分析的相对强度和方向的重力单轴压缩流，和努森数（平均自由程的介质平均半径的比率）的大范围内。
Collisions in a dilute polydisperse suspension of spheres of negligible inertia interacting through non-continuum hydrodynamics and settling in a slow uniaxial compressional flow are studied. The ideal collision rate is evaluated as a function of the relative strength of gravity and uniaxial compressional flow and it deviates significantly from a linear superposition of these driving terms. This non-trivial behaviour is exacerbated by interparticle interactions based on uniformly valid non-continuum hydrodynamics, that capture non-continuum lubrication at small separations and full continuum hydrodynamic interactions at larger separations, retarding collisions driven purely by sedimentation significantly more than those driven purely by the linear flow. While the ideal collision rate is weakly dependent on the orientation of gravity with the axis of compression, the rate including hydrodynamic interactions varies by more than with orientation. This dramatic shift can be attributed to complex trajectories driven by interparticle interactions that prevent particle pairs from colliding or enable a circuitous path to collision. These and other important features of the collision process are studied in detail using trajectory analysis at near unity and significantly smaller than unity size ratios of the interacting spheres. For each case analysis is carried for a large range of relative strengths and orientations of gravity to the uniaxial compressional flow, and Knudsen numbers (ratio of mean free path of the media to mean radius).
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