Steady Streaming around a Circular Cylinder near a Plane Boundary due to Oscillatory Flow
Publication: Journal of Hydraulic Engineering
Volume 137, Issue 1
Abstract
Steady streaming due to an oscillatory flow around a circular cylinder close to and sitting on a plane boundary is investigated numerically. Two-dimensional (2D) Reynolds-averaged Navier-Stokes equations are solved using a finite element method with a turbulent model. The flow direction is perpendicular to the axis of the cylinder. The steady streaming around a circular cylinder is investigated for Keulegan-Carpenter (KC) number of with a constant value of Stokes number of 196. The gap (between the cylinder and the plane boundary) to diameter ratio investigated is in the range of 0.0–3.0. The steady streaming structures and velocity distribution around the cylinder are analyzed in detail. It is found that the structures of steady streaming are closely correlated to KC regimes. The gap to diameter ratio has a significant effect on the steady streaming structure when . The magnitude of the steady streaming velocity around the cylinder can be up to about 70% of the velocity amplitude of the oscillatory flow. One three-dimensional (3D) simulation ( , , and ) is carried out to examine the effect of three dimensionality of the flow on the steady streaming. Although strong 3D vortices are found around the cylinder, the steady streaming in a cross section of the cylinder span is in good agreement with the 2D results.
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Acknowledgments
The writers would like to acknowledge the support from Australia Research Council through ARC Discovery Project Program (Grant No. UNSPECIFIEDDP0557060) and the National Natural Science Foundation of China (Grant No. NNSFC50428908).
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Information
Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 1 • January 2011
Pages: 23 - 33
Copyright
© 2011 ASCE.
History
Received: Feb 4, 2009
Accepted: Apr 12, 2010
Published online: Apr 24, 2010
Published in print: Jan 2011
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