Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-27T05:19:40.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Eccentric oscillations of a circular cylinder in a viscous fluid

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

N. Riley  and
E. J. Watson
N. Riley
Affiliation:
School of Mathematics, University of East Anglia, Norwich. NR4 7TJ.
E. J. Watson
Affiliation:
Department of Mathematics, University of Manchester, Manchester. M1 3 9PL.
Get access

Summary

We consider the fluid motion induced when a circular cylinder performs small-amplitude oscillations about an axis parallel to a generator to which it is rigidly attached as in Fig l(a). In common with other fluid flows dominated by oscillatory motion, a time-independent, or steady streaming develops, and this is the focus of our attention. In particular we relate our results, qualitatively, to the observations that have been made in experiments.

MSC classification

Secondary: 76D25: Wakes and jets
Type
Research Article
Information
Mathematika , Volume 40 , Issue 2 , December 1993 , pp. 187 - 202
Copyright
Copyright © University College London 1993

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.Taneda, S.. J. Phys. Soc. Jap., 49 (1980), 2038.Google Scholar
2.Riley, N.. J. Inst. Maths Applies, 3 (1967), 419.Google Scholar
3.Watson, E. J.. Quart. Jl Mech. appl. Math., 45 (1992), 263.Google Scholar
4.Stuart, J. T.. Unsteady boundary layers. Laminar boundary layers (Oxford, 1963).Google Scholar
5.Stuart, J. T.. J. Fluid Mech., 24 (1966), 673.Google Scholar
6.Davidson, B. J. and Riley, N.. J. Fluid Mech., 53 (1972), 287.Google Scholar
7.Riley, N.. Mathematika, 38 (1991), 203.Google Scholar
8.Capell, K.. J. Fluid mech., 55 (1972), 49.Google Scholar
9.Van Dyke, M. D.. Perturbation methods in fluid mechanics (Parabolic Press, Stanford, 1975).Google Scholar
10.Smith, F. T. and Duck, P. W.. Quart. J. Mech. appl. Math., 30 (1977), 143.Google Scholar