### Abstract

An exact solution of the Navier-Stokes equations is presented for an incompressible circulatory flow about an infinite circular cylinder with uniform suction or injection. An asymptotic evaluation of the solution for large time shows that, starting from a typical initial state, the flow ultimately becomes irrotational for R ≦ 1; for 1 < R ≦ 2, the initial vorticity distribution remains unchanged in the final state of flow; but for R > 2, the initial vorticity distribution changes with the circulation at infinity remaining constant: Here R = Va/v, with V, a and v being the suction velocity, radius of the cylinder and the kinematic viscosity, respectively. The torque on the cylinder has been evaluated for both small and large times.

Original language | English |
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Pages (from-to) | 446-449 |

Number of pages | 4 |

Journal | journal of the physical society of japan |

Volume | 55 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jan 1 1986 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

**Unsteady Circulatory Flow about a Circular Cylinder with Suction or Injection.** / Fukumoto, Yasuhide.

Research output: Contribution to journal › Article

*journal of the physical society of japan*, vol. 55, no. 2, pp. 446-449. https://doi.org/10.1143/JPSJ.55.446

}

TY - JOUR

T1 - Unsteady Circulatory Flow about a Circular Cylinder with Suction or Injection

AU - Fukumoto, Yasuhide

PY - 1986/1/1

Y1 - 1986/1/1

N2 - An exact solution of the Navier-Stokes equations is presented for an incompressible circulatory flow about an infinite circular cylinder with uniform suction or injection. An asymptotic evaluation of the solution for large time shows that, starting from a typical initial state, the flow ultimately becomes irrotational for R ≦ 1; for 1 < R ≦ 2, the initial vorticity distribution remains unchanged in the final state of flow; but for R > 2, the initial vorticity distribution changes with the circulation at infinity remaining constant: Here R = Va/v, with V, a and v being the suction velocity, radius of the cylinder and the kinematic viscosity, respectively. The torque on the cylinder has been evaluated for both small and large times.

AB - An exact solution of the Navier-Stokes equations is presented for an incompressible circulatory flow about an infinite circular cylinder with uniform suction or injection. An asymptotic evaluation of the solution for large time shows that, starting from a typical initial state, the flow ultimately becomes irrotational for R ≦ 1; for 1 < R ≦ 2, the initial vorticity distribution remains unchanged in the final state of flow; but for R > 2, the initial vorticity distribution changes with the circulation at infinity remaining constant: Here R = Va/v, with V, a and v being the suction velocity, radius of the cylinder and the kinematic viscosity, respectively. The torque on the cylinder has been evaluated for both small and large times.

UR - http://www.scopus.com/inward/record.url?scp=0022662164&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022662164&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.55.446

DO - 10.1143/JPSJ.55.446

M3 - Article

AN - SCOPUS:0022662164

VL - 55

SP - 446

EP - 449

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 2

ER -