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The standing vortex behind a disk normal to uniform flow at small Reynolds number

Published online by Cambridge University Press:  20 April 2006

Tosio Miyagi  and
Takahiro Kamei
Tosio Miyagi
Affiliation:
College of Engineering, University of Osaka Prefecture, Sakai, Japan
Takahiro Kamei
Affiliation:
College of Engineering, University of Osaka Prefecture, Sakai, Japan
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Abstract

Viscous incompressible flow around a circular disk set normal to undisturbed flow is theoretically studied at small values of the Reynolds number. The critical Reynolds number at which a standing vortex first appears behind the disk is zero, and the flow separates from the edge of the disk. Several other features of the flow are obtained from the present analysis.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 221 - 230
Copyright
© 1983 Cambridge University Press

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References

Breach, D. R. 1961 J. Fluid Mech. 10, 306.
Happel, J. & Brenner, H. 1973 Low Reynolds number Hydrodynamics. Noordhoff.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Miyagi, T. 1978 J. Phys. Soc. Japan 45, 1751.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.