Hostname: page-component-848d4c4894-ndmmz Total loading time: 0 Render date: 2024-05-04T01:14:37.878Z Has data issue: false hasContentIssue false
  • English
  • Français

Oscillatory flow over a cylinder resting on a plane boundary

Published online by Cambridge University Press:  26 September 2008

M. F. Wybrow  and
N. Riley
M. F. Wybrow
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
N. Riley
Affiliation:
School of Mathematics, University of East Anglia, Norwich, UK
Get access Rights & Permissions [Opens in a new window]

Abstract

Oscillatory flow over a circular cylinder, or part-cylinder, placed on a plane boundary, when the Strouhal and streaming Reynolds numbers are large, is considered. The solution is developed in matching inner and outer boundary layers. A steady streaming motion in the outer layer can lead to a net flow away from the cylinder along the plane boundary. A simple experiment substantiates this prediction, and the implications for bed-scouring are examined.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 6 , December 1996 , pp. 545 - 558
Copyright
Copyright © Cambridge University Press 1996

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] Van Dyke, M. D. (1982) An Album of Fluid Motion, plate 191. Parabolic Press, Stanford.CrossRefGoogle Scholar
[2] Stuart, J. T. (1963) Laminar Boundary Layers, Ch. 7. Rosenhead, L. (Ed.), Oxford University Press.Google Scholar
[3] Milne-Thompson, L. M. (1960) Theoretical Hydrodynamics (4th edition), Macmillan, New York.Google Scholar
[4] Riley, N. (1967) Oscillatory viscous flows. Review and extension. J. Inst. Maths. Applies. 3, 419–434.CrossRefGoogle Scholar
[5] Wybrow, M. F. (1996) PhD Thesis, University of East Anglia.Google Scholar
[6] Stuart, J. T. (1966) Double boundary layers in oscillatory viscous flows. J. Fluid Mech. 24, 673–687.CrossRefGoogle Scholar
[7] Davidson, B.J. & Riley, N. (1972) Jets induced by oscillatory motion. J. Fluid Mech. 53, 287–303.CrossRefGoogle Scholar
[8] Lighthill, M. J. (1978) Acoustic streaming. J. Sound Vib. 61, 391–418.CrossRefGoogle Scholar