Journal of Fluid Mechanics

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Wall effects on a rotating sphere

QIANLONG LIUa1 and ANDREA PROSPERETTIa1a2 c1

a1 Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA

a2 Faculty of Science and Technology and J. M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands

Abstract

The flow induced by a spherical particle spinning in the presence of no-slip planar boundaries is studied by numerical means. In addition to the reference case of an infinite fluid, the situations considered include a sphere rotating near one or two infinite plane walls parallel or perpendicular to the axis of rotation and a sphere centred within a cube. The hydrodynamic force and couple acting on the sphere exhibit a complex behaviour under the sometimes competing, sometimes cooperating action of viscous, inertial and centrifugal effects.

(Received September 26 2009)

(Revised January 26 2010)

(Accepted March 09 2010)

(Online publication May 26 2010)

Correspondence:

c1 Email address for correspondence: prosperetti@jhu.edu

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