Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-11T05:21:58.527Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on Stokes flow due to a line rotlet

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

S. H. Smith
S. H. Smith
Affiliation:
Department of Mathematics, University of Toronto, Toronto, M5S 1A1, Canada.
Get access

Summary

The results developed by Watson [1] are interpreted to indicate how the slow viscous flow due to the rotation of a small circular cylinder in the presence of a stationary cylinder can be calculated. It is shown how the stream function is given as a combination of the force-free representations corresponding to a line rotlet and a line stokeslet outside the stationary body, plus the streaming flow past the body. The coefficients which multiply these representations are calculated by techniques already described by Watson.

MSC classification

Secondary: 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Mathematika , Volume 42 , Issue 1 , June 1995 , pp. 127 - 132
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.Watson, E. J.. The rotation of two circular cylinders in a viscous fluid. Mathematika, 42 (1995), 105–126.CrossRefGoogle Scholar
2.Jeffery, G. B.. The rotation of two circular cylinders in a viscous fluid. Proc. Roy. Soc. (A), 101 (1922), 169–174.Google Scholar
3.Smith, S. H.. The rotation of two circular cylinders in a viscous fluid. Mathematika, 38 (1991), 63–66.CrossRefGoogle Scholar
4.Dorrepaal, J. M., O'Neill, M. E. and Ranger, K. B.. Two-dimensional Stokes flows with cylinders and line singularities. Mathematika, 31 (1984), 65–75.CrossRefGoogle Scholar
5.Shail, R. and Onslow, S. H.. Some Stokes flows exterior to a spherical boundary. Mathematika, 35 (1988), 233–246.CrossRefGoogle Scholar
6.Smith, S. H.. The Jeffery paradox as the limit of a three-dimensional Stokes flow. Phys. Fluids A, 2 (1990), 661–665.CrossRefGoogle Scholar
7.Ranger, K. B.. The Stokes flow round a smooth body with an attached vortex. J. Eng. Math., 11 (1977), 81–88.CrossRefGoogle Scholar