### Abstract

An exact solution of the Navier-Stokes equations is established for a general initial/boundary-value problem which describes the development of an incompressible circulatory flow outside an infinite circular cylinder with uniform suction or injection. An asymptotic evaluation of the solution, valid after a long time, reveals the effects of suction or injection upon the ultimate flow behavior; for R>2, the circulation at infinity remains unchanged throughout the process if it is finite initially; for R≤1, all of the vorticity, even if its amount is infinite, is blown away to infinity and the flow becomes irrotational in the final state; intermediate between them is the case of 1<R≤2. Here R=Va/v, with V, a and v being the suction velocity, radius of the cylinder and the kinematic viscosity, respectively.

Original language | English |
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Pages (from-to) | 918-926 |

Number of pages | 9 |

Journal | Journal of the Physical Society of Japan |

Volume | 59 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1990 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Physics and Astronomy(all)

### Cite this

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

Research output: Contribution to journal › Article

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TY - JOUR

T1 - General Unsteady Circulatory Flow outside a Porous Circular Cylinder with Suction or Injection

AU - Fukumoto, Yasuhide

PY - 1990

Y1 - 1990

N2 - An exact solution of the Navier-Stokes equations is established for a general initial/boundary-value problem which describes the development of an incompressible circulatory flow outside an infinite circular cylinder with uniform suction or injection. An asymptotic evaluation of the solution, valid after a long time, reveals the effects of suction or injection upon the ultimate flow behavior; for R>2, the circulation at infinity remains unchanged throughout the process if it is finite initially; for R≤1, all of the vorticity, even if its amount is infinite, is blown away to infinity and the flow becomes irrotational in the final state; intermediate between them is the case of 1<R≤2. Here R=Va/v, with V, a and v being the suction velocity, radius of the cylinder and the kinematic viscosity, respectively.

AB - An exact solution of the Navier-Stokes equations is established for a general initial/boundary-value problem which describes the development of an incompressible circulatory flow outside an infinite circular cylinder with uniform suction or injection. An asymptotic evaluation of the solution, valid after a long time, reveals the effects of suction or injection upon the ultimate flow behavior; for R>2, the circulation at infinity remains unchanged throughout the process if it is finite initially; for R≤1, all of the vorticity, even if its amount is infinite, is blown away to infinity and the flow becomes irrotational in the final state; intermediate between them is the case of 1<R≤2. Here R=Va/v, with V, a and v being the suction velocity, radius of the cylinder and the kinematic viscosity, respectively.

UR - http://www.scopus.com/inward/record.url?scp=5544251007&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=5544251007&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.59.918

DO - 10.1143/JPSJ.59.918

M3 - Article

AN - SCOPUS:5544251007

VL - 59

SP - 918

EP - 926

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 3

ER -