Motion of a rigid cylinder between parallel plates in Stokes flow. Part 2: Poiseuille and Couette flow.

A. S. Dvinsky, A. S. Popel

Research output: Contribution to journalArticlepeer-review

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 were calculated for a wide range of particle sizes and positions across the channel. The resistance matrix, previously calculated, was used 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 was found that the behaviour of flow around a cylindrical particle in a channel is qualitatively similar to the behaviour 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. (A)

Original languageEnglish (US)
Pages (from-to)405-419
Number of pages15
JournalINT. J. NUMER. METHODS FLUIDS
Volume7
Issue number8 , Aug. 1987
StatePublished - Jan 1 2017

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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