Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-11T00:13:43.035Z Has data issue: false hasContentIssue false
  • English
  • Français

The rotation of two circular cylinders in a viscous fluid

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

E. J. Watson
E. J. Watson
Affiliation:
Department of Mathematics, University of Manchester, Manchester M13 9PL.
Get access

Summary

In earlier treatments of the title problem it was found that it is impossible, in general, to obtain solutions of Stokes's equations of slow viscous flow in which the fluid velocity vanishes at infinity. It is shown here that the paradox can be resolved by the introduction of a resultant force on the cylinders. This enables the solution to be matched to an outer solution of the full Navier-Stokes equations.

MSC classification

Secondary: 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 105 - 126
Copyright
Copyright © University College London 1995

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Jeffery, G. B.. Phil. Trans. Roy. Soc. A, 221 (1920), 265.Google Scholar
2.Jeffery, G. B.. Proc. Roy. Soc. A, 101 (1922), 169.Google Scholar
3.Smith, S. H.. Mathematika, 38 (1991), 63.CrossRefGoogle Scholar
4.Riley, N. and Watson, E. J.. Mathematika, 40 (1993), 187.CrossRefGoogle Scholar
5.Capell, K.. J. Fluid Mech., 55 (1972), 49.CrossRefGoogle Scholar
6.Smith, S. H.. Mathematika, 42 (1995), 127–132.CrossRefGoogle Scholar