Orthokinetic collisions of hard spheres in simple shear flow
Orthokinetic collisions of hard spheres in simple shear flow
复制标题
简单剪切流中硬球的正运动碰撞
DOI：
10.1139/v76-541
复制
发表时间：
1976
影响因子：
1.1
通讯作者：
S. G. Mason
中科院分区：
文献类型：
--
作者：
P. Arp;S. G. Mason
在简单剪切流动的粘性流体中一对半径为b的中性硬球的严格水动力相互作用理论的基础上，建立了二体碰撞理论，用现代严格的（并经实验验证的）曲线接近理论修正了基于直线接近的经典斯摩鲁霍夫斯基理论。通过在参考球周围定义半径为ρm的曲线碰撞球，消除了定义碰撞的困难。用这种方法计算出了碰撞截面面积、碰撞频率、平均双重态寿命和分离（或瞬态）双重态浓度的校正因子。结果表明，当ρm/b接近2.38时，两种理论是相容的。
From the rigorous hydrodynamic interaction theory of a pair of neutral hard spheres of radius b in a viscous fluid undergoing simple shear flow, the two-body collision theory has been developed which corrects the classical Smoluchowski theory based on rectilinear approach by applying the modern rigorous (and experimentally verified) curvilinear theory of approach. The difficulties in defining a collision are eliminated by defining a curvilinear collision sphere of radius ρm around a reference sphere. In this way correction factors for the area of the collision cross-section, the collision frequency, the average doublet life time, and the steady-state doublet concentrations of separating (or transient) doublets have been calculated as a function of ρm. The results show that the two theories are compatible for a ρm/b close to 2.38.