THE CALCULATION OF THE LOW REYNOLDS-NUMBER RESISTANCE FUNCTIONS FOR 2 UNEQUAL SPHERES
THE CALCULATION OF THE LOW REYNOLDS-NUMBER RESISTANCE FUNCTIONS FOR 2 UNEQUAL SPHERES
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DOI：
10.1063/1.858494
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发表时间：
1992-01-01
期刊：
影响因子：
--
通讯作者：
JEFFREY, DJ
中科院分区：
文献类型：
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作者：
JEFFREY, DJ
阻力函数，涉及的力，力偶，和stresslets施加在环境流体上的两个不相等的刚性球在低雷诺数流的情况下，其中球体被浸没在一个环境线性流计算。 本文结合以前的工作，完成了目前在悬架力学研究中所需的所有双球阻力函数的列表。 每个函数首先计算为一系列的中心到中心的分离的反幂，然后，为了处理由润滑力引起的奇异行为，渐近形式的功能时，球是关闭的组合成一个单一的表达式与级数展开有效的所有分离的领域。
The resistance functions that relate the forces, couples, and stresslets exerted on ambient fluid by two unequal rigid spheres in low Reynolds number flow are calculated for the case in which the spheres are immersed in an ambient linear flow. In conjunction with earlier works, this paper completes the tabulation of all of the two-sphere resistance functions at present needed in investigations of the mechanics of suspensions. Each function is calculated first as a series in inverse powers of the center-to-center separation, and then, in order to handle the singular behavior caused by lubrication forces, the asymptotic form which the function takes when the spheres are close is combined with the series expansion into a single expression valid for all separations of the spheres.