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The stability of the Strokes layer in periodic orbital flow around a circular cylinder

Part of: Incompressible viscous fluids

Published online by Cambridge University Press:  26 February 2010

B. Yan  and
N. Riley
B. Yan
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ
N. Riley
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ
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Summary

In this paper we carry out a linear stability analysis within the Stokes layer that, under suitable conditions, forms at the surface of a circular cylinder in periodic orbital motion. The analysis is related to that performed by Seminara [1,2] in the Stokes layer on a torsionally oscillating cylinder and by Hall [3] in the Stokes layer at the surface of a cylinder in purely oscillatory motion. In all cases we find that the minimum critical Taylor number is located where the flow at the edge of the Stokes layer has maximum speed in each period of the motion.

MSC classification

Secondary: 76D07: Stokes and related (Oseen, etc.) flows
Type
Research Article
Information
Mathematika , Volume 44 , Issue 2 , December 1997 , pp. 225 - 238
Copyright
Copyright © University College London 1997

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References

1.Seminara, G. and Hall, P.. Proc. R. Soc. Lond., A 350 (1976), 299–316.Google Scholar
2.Seminara, G. and Hall, P.Proc. R. Soc. Lond., A354 (1977), 119–126.Google Scholar
3.Hall, P.. J. Fluid Mech., 146 (1984), 347–367.CrossRefGoogle Scholar
4.Riley, N.angew, Z.Math. Phys., 22 (1971), 645–653.Google Scholar
5.Riley, N.angew, Z.Math. Phys., 29 (1978), 439–449.Google Scholar
6.Riley, N.. J. Fluid Mech., 242 (1992), 387–394.CrossRefGoogle Scholar
7.Stansby, P. K. and Smith, P. A.. J. Fluid Mech., 229 (1991), 159–171.CrossRefGoogle Scholar
8.Chaplin, J. R.. J. Fluid Mech., 246 (1993), 397–418.CrossRefGoogle Scholar
9.Stuart, J. T.. J. Fluid Mech., 24 (1966), 673–687.CrossRefGoogle Scholar
10.Honji, H.. J. Fluid Mech., 107 (1981), 509–520.CrossRefGoogle Scholar
11.Riley, N. and Yan, B.. J. engng Math., 30 (1996), 587–601.CrossRefGoogle Scholar