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The occurrence of separation in oscillatory flow

Published online by Cambridge University Press:  20 April 2006

Ian J. Sobey
Ian J. Sobey
Affiliation:
School of Mathematics, University of Bristol
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Abstract

In this short note we use the results of numerical solutions of the unsteady Navier–Stokes equations to study the occurrence of separation in unsteady flow. The structure of a flow cycle depends strongly on the Strouhal number, whose value can be classified as small, intermediate or large. In each of these regions different effects are calculated, and we give guidelines for the boundaries of these regions. In particular, we show that the small-Strouhal-number region, in which quasi-steady flow is observed, is very small and decreases rapidly as the peak Reynolds number increases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 134 , September 1983 , pp. 247 - 257
Copyright
© 1983 Cambridge University Press

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References

Cowley, S. J. 1981 High Reynolds number flows through channels and tubes. Ph.D. dissertation, Cambridge University.
Duck, P. W. 1979 J. Fluid Mech. 95, 635–655.
Secomb, T. 1979 Flows in tubes and channels with indented and moving walls. Ph.D. dissertation, Cambridge University.
Smith, F. T. 1979 Mathematika 26, 187.
Sobey, I. J. 1980 J. Fluid Mech. 96, 1–26.
Sychev, V. V. 1979 Izv. Akad. Nauk SSSR, Mekh. Zhid. i Gaza no. 6, 21–32 [see also Fluid Dyn. 14, 829–838].