The forces and couples acting on two nearly touching spheres in low-Reynolds-number flow
The forces and couples acting on two nearly touching spheres in low-Reynolds-number flow
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DOI：
10.1007/bf00952109
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发表时间：
1984-09
期刊：
影响因子：
--
通讯作者：
D. J. Jeffrey;Y. Onishi
中科院分区：
文献类型：
--
作者：
D. J. Jeffrey;Y. Onishi
当两个不等的球体非常接近时，可以用润滑近似来分析它们之间狭缝中的低雷诺数流动，并推导出作用在球体上的力和力偶的渐近公式。力和力偶的表达式以前被认为是独立的，但这里显示出它们是由简单的物理考虑联系在一起的。新公式可用于提高球面不闭合情况下伴随计算的精度。
When two unequal spheres are very close, the low-Reynolds-number flow in the narrow gap between them can be analysed using lubrication approximations, and asymptotic formulae for the forces and couples acting on the spheres deduced. The expressions for the forces and couples have previously been regarded as independent, but it is shown here that they are linked by simple physical considerations. The new formulae can be used to improve the accuracy of companion calculations which apply to cases in which the spheres are not close.