Interaction and Wall Corrections for the Slow Motion of Two Fluid or Solid Particles Parallel to the Axis of a Circular Cylinder through a Viscous Fluid

T. Greenstein
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引用次数: 6

Abstract

Numerical values are provided which enable the drag force on the reference spherical fluid or solid particle, and the torque on the reference spherical solid particle, to be computed for the particular case when two spherical particles move in a direction parallel to their line of centres parallel to the axis of a circular cylinder. Results for this motion are also expressed in terms of the ratio of drag forces experienced by (1) the particle of arbitrary shape in a bounded, two particle system, and the particle in an unbounded, two particle system, and (2) the particle in a bounded, two particle system, and the particle moving alone with the same speed and orientation in the same, but unbounded, fluid. The computation furnishes the interaction and wall corrections correctly to the first-order in the ratios of characteristic particle dimension to characteristic distance of the particle from both another particle and from the cylinder wall.The axisymmetric problem was extended to the more general case wher...
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平行于圆柱体轴线的两个流体或固体颗粒通过粘性流体缓慢运动的相互作用和壁面修正
当两个球形粒子沿平行于圆柱体轴线的中心线平行的方向运动时,提供了能够计算参考球形流体或固体粒子上的阻力和参考球形固体粒子上的扭矩的数值。这种运动的结果也可以用(1)有界两粒子系统中任意形状的粒子与无界两粒子系统中的粒子所经历的阻力之比来表示,以及(2)有界两粒子系统中的粒子与在相同但无界的流体中以相同速度和方向单独运动的粒子。计算结果在特征粒子尺寸与粒子与另一个粒子和与圆柱体壁面的特征距离之比中,将相互作用和壁面修正正确地提供到一阶。轴对称问题被推广到更一般的情况,当…
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