The resistance and mobility functions of two equal spheres in low‐Reynolds‐number flow
The resistance and mobility functions of two equal spheres in low‐Reynolds‐number flow
复制标题
低雷诺数流动中两个等球体的阻力函数和流度函数
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
R. Mifflin
中科院分区：
文献类型：
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作者：
Sangtae Kim;R. Mifflin
使用边界配置技术计算了阻力和迁移率函数，它完全表征了低雷诺数流中两个球体的力、扭矩和应力与平移和旋转速度之间的线性关系。假设环境速度场是均匀流和线性（涡度和应变率）场的叠加。这是整套函数的精确表达式的首次汇编。对于可获得此类结果的所有函数，计算结果与早期结果一致。除了几乎接触（间隙小于球体直径的 0.005）配置之外，该技术在所有球体与球体分离中均取得成功。应力波函数的新结果已用于确定 Batchelor 和 Green 的结果 [J.流体机械。 56, 401 (1972)] 体应力中的 c2 阶系数（7.1 而不是 7.6）。双球函数也被用来确定模...
The resistance and mobility functions which completely characterize the linear relations between the force, torque, and stresslet and the translational and rotational velocities of two spheres in low‐Reynolds‐number flow have been calculated using a boundary collocation technique. The ambient velocity field is assumed to be a superposition of a uniform stream and a linear (vorticity and rate‐of‐strain) field. This is the first compilation of accurate expressions for the entire set of functions. The calculations are in agreement with earlier results for all functions for which such results are available. The technique is successful at all sphere–sphere separations except at the almost‐touching (gaps of less than 0.005 of the sphere diameter) configuration. New results for the stresslet functions have been used to determine Batchelor and Green’s [J. Fluid Mech. 56, 401 (1972)] order c2 coefficient in the bulk stress (7.1 instead of their 7.6). The two‐sphere functions have also been used to determine the mo...