### 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 language | English (US) |
---|---|

Pages (from-to) | 405-419 |

Number of pages | 15 |

Journal | INT. J. NUMER. METHODS FLUIDS |

Volume | 7 |

Issue number | 8 , Aug. 1987 |

State | Published - 1800 |

Externally published | Yes |

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### 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

*INT. J. NUMER. METHODS FLUIDS*,

*7*(8 , Aug. 1987), 405-419.

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

Research output: Contribution to journal › Article

*INT. J. NUMER. METHODS FLUIDS*, vol. 7, no. 8 , Aug. 1987, pp. 405-419.

}

TY - JOUR

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

T2 - Poiseuille and Couette flow.

AU - Dvinsky, A. S.

AU - Popel, Aleksander 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)

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

M3 - Article

AN - SCOPUS:0013763951

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 -