斯托克斯流中刚性圆柱体在平行平板间的运动：第2部分：泊肃叶流和库埃特流

MOTION OF A RIGID CYLINDER BETWEEN PARALLEL PLATES IN STOKES FLOW: PART 2: POISEUILLE AND COUETTE FLOW.

作者信息

Dvinsky A S, Popel A S

机构信息

Creare Inc., P.O. Box 71, Hanover, NH 03755, U.S.A.

Department of Biomedical Engineering, School of Medicine, Johns Hopkins University, Baltimore, MD 21205, U.S.A.

出版信息

Comput Fluids. 1987;15(4):405-419. doi: 10.1016/0045-7930(87)90032-6.

DOI:10.1016/0045-7930(87)90032-6

PMID:28943672

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC5609703/

Abstract

A numerical solution is presented for the motion of a neutrally buoyant circular cylinder in Poiseuille and Couette flows between two plane parallel boundaries. The force and torque on a stationary particle are calculated for a wide range of particle sizes and positions across the channel. The resistance matrix calculated in Ref. [1] (henceforth referred to as Part 1) is utilized to find the translational and angular velocity for a drag- and torque-free particle. The results are compared with analytical perturbation solutions for a small cylindrical particle situated on the channel centerline, and for the motion of a spherical particle in a circular tube or between plane parallel boundaries. It is found the behavior of flow around a cylindrical particle in a channel is qualitatively similar to the behavior of flow around a spherical particle in a tube, while the flow around a spherical particle in a channel frequently exhibits different trends from the above two cases.

摘要

本文给出了在两个平面平行边界之间的泊肃叶流和库埃特流中，中性浮力圆柱体运动的数值解。针对通道内各种粒径和位置的静止粒子，计算了其受力和扭矩。利用文献[1]（以下简称第1部分）中计算的阻力矩阵，求出了无阻力和无扭矩粒子的平移速度和角速度。将结果与位于通道中心线上的小圆柱粒子的解析摄动解，以及球形粒子在圆管中或在平面平行边界之间运动的解析摄动解进行了比较。结果发现，通道中圆柱粒子周围的流动行为在定性上与管中球形粒子周围的流动行为相似，而通道中球形粒子周围的流动行为常常呈现出与上述两种情况不同的趋势。