Unsteady Circulatory Flow about a Circular Cylinder with Suction or Injection

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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 languageEnglish
Pages (from-to)446-449
Number of pages4
Journaljournal of the physical society of japan
Volume55
Issue number2
DOIs
Publication statusPublished - Jan 1 1986
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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