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Gravitational and zero-drag motion of a spheroid adjacent to an inclined plane at low Reynolds number

Published online by Cambridge University Press:  26 April 2006

Richard Hsu  and
Peter Ganatos
Richard Hsu
Affiliation:
Department of Mechanical Engineering, The City College of The City University of New York, New York, NY 10031, USA Current address: Department of Physiology, University of Arizona, Tucson, Arizona 85724, USA.
Peter Ganatos
Affiliation:
Department of Mechanical Engineering, The City College of The City University of New York, New York, NY 10031, USA
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Abstract

The first highly accurate solutions for the resistance tensor of an oblate or prolate spheroid moving near a planar wall obtained by Hsu & Ganatos (1989) are used to compute the translational and angular velocities and trajectories of a neutrally buoyant spheroid in shear flow and the gravitational settling motion of a non-neutrally buoyant spheroid adjacent to an inclined plane. The neutrally buoyant spheroid in shear flow undergoes a periodical motion toward and away from the wall as it continually tumbles forward. For some orientation angles it is found that the wall actually enhances the angular velocity of the particle. For certain inclinations a spheroid settling under gravity near an inclined plane reaches an equilibrium position, after which it translates parallel to the wall without rotation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 268 , 10 June 1994 , pp. 267 - 292
Copyright
© 1994 Cambridge University Press

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