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Numerical solution for the flow around a cylinder at Reynolds numbers of 40, 200 and 500

Published online by Cambridge University Press:  28 March 2006

Jaime S. Son  and
Thomas J. Hanratty
Jaime S. Son
Affiliation:
Present address: Shell Development Company, Emeryville, California.
Thomas J. Hanratty
Affiliation:
Department of Chemistry and Chemical Engineering, University of Illinois, Urbana, Illinois
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Abstract

Finite difference solutions for the time dependent equations of motion have been carried out in order to extend the range of available data on steady flow around a cylinder to larger Reynolds numbers. At the termination of the calculations for R = 40 and 200, the separation angle, the drag coefficient and the pressure and vorticity distributions around the surface of the cylinder were very close to their steady-state values. For R = 500 the separation angle and drag coefficient were very close to their steady-state values but the pressure distribution and vorticity distribution at the rear of the cylinder were still changing slightly. The results at R = 500 were found to be quite different from those at R = 200 so it is not clear how closely we approximated the steady solution for R → ∞. The forces on the cylinder due to viscous drag and due to pressure drag are found to be smaller for steady flow than for laboratory experiments where the wake is unsteady.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 35 , Issue 2 , 16 January 1969 , pp. 369 - 386
Copyright
© 1969 Cambridge University Press

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