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Viscous forces on a circular cylinder in orbital flow at low Keulegan—Carpenter numbers

Published online by Cambridge University Press:  26 April 2006

P. K. Stansby  and
P. A. Smith
P. K. Stansby
Affiliation:
Department of Engineering, Simon Building, The University. Manchester M13 9PL, UK
P. A. Smith
Affiliation:
Paul Scherrer Institute, Wurenlingen, CH-5232 Villigen PSI, Switzerland
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Abstract

The flow structures giving rise to the force on a circular cylinder in uniform, circular, orbital flows have been investigated for keulegan—Carpenter numbers (K) less than 2 and a Stokes parameter (β) of 483 using the random-vortex method. Comparisons with analysis using the method of inner and outer expansions are made and good agreement is found for K = 0.1. For higher K-values, the viscous force (the difference between the total force and the potential-flow force) acts mainly in opposition to the potential-flow force causing a substantial reduction in total force, in keeping with experimental measurements. Significant separation does not occur at K ≤ 1.5 and vorticity organizes itself asymmetrically about the line through the cylinder centre parallel to the incident velocity vector. Vorticity of one sense of rotation remains close to the half-surface lagging the velocity vector, while an area of vorticity of the opposite sense wraps itself around the cylinder. The net circulation in the flow (the circulation within a path encircling the cylinder at a large radius) is zero. Vortex shedding occurs at K > 1.5. Viscous forces due to non-uniform, orbital flows around a horizontal cylinder beneath waves were similar although vortex shedding tended to occur at lower K-values.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 229 , August 1991 , pp. 159 - 171
Copyright
© 1991 Cambridge University Press

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