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: Research - peer-reviewArticle

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)

LanguageEnglish (US)
Pages405-419
Number of pages15
JournalINT. J. NUMER. METHODS FLUIDS
Volume7
Issue number8 , Aug. 1987
StatePublished - 1800
Externally publishedYes

Fingerprint

Couette Flow
Poiseuille Flow
Stokes Flow
Motion
Stokes flow
Couette flow
parallel plates
laminar flow
Torque
Angular velocity
Circular cylinders
Drag
Particle size
Tube
torque
Perturbation Solution
Circular Cylinder
Particle Size
Numerical Solution
Range of data

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Condensed Matter Physics

Cite this

Motion of a rigid cylinder between parallel plates in Stokes flow. Part 2 : Poiseuille and Couette flow. / Dvinsky, A. S.; Popel, A. S.

In: INT. J. NUMER. METHODS FLUIDS, Vol. 7, No. 8 , Aug. 1987, 1800, p. 405-419.

Research output: Research - peer-reviewArticle

@article{51b658544a504940b39bf577c6a2ac60,
title = "Motion of a rigid cylinder between parallel plates in Stokes flow. Part 2: Poiseuille and Couette flow.",
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)",
author = "Dvinsky, {A. S.} and Popel, {A. S.}",
year = "1800",
volume = "7",
pages = "405--419",
journal = "International Journal for Numerical Methods in Fluids",
issn = "0271-2091",
publisher = "John Wiley and Sons Ltd",
number = "8 , Aug. 1987",

}

TY - JOUR

T1 - Motion of a rigid cylinder between parallel plates in Stokes flow. Part 2

T2 - International Journal for Numerical Methods in Fluids

AU - Dvinsky,A. S.

AU - Popel,A. S.

PY - 1800

Y1 - 1800

N2 - 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)

AB - 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)

UR - http://www.scopus.com/inward/record.url?scp=0013763951&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0013763951&partnerID=8YFLogxK

M3 - Article

VL - 7

SP - 405

EP - 419

JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

SN - 0271-2091

IS - 8 , Aug. 1987

ER -