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The inertial lift on a rigid sphere in a linear shear flow field near a flat wall

Published online by Cambridge University Press:  26 April 2006

Pradeep Cherukat  and
John B. Mclaughlin
Pradeep Cherukat
Affiliation:
Department of Chemical Engineering, Clarkson University, Potsdam, NY 13699-5705, USA Present address: Department of Chemical Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA.
John B. Mclaughlin
Affiliation:
Department of Chemical Engineering, Clarkson University, Potsdam, NY 13699-5705, USA
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Abstract

An expression which predicts the inertial lift, to lowest order, on a rigid sphere translating in a linear shear flow field near a flat infinite wall has been derived. This expression may be used when the wall lies within the inner region of the sphere's disturbance flow. It is valid even when the gap is small compared to the radius of the sphere. When the sphere is far from the wall, the lift force predicted by the present analysis converges to the value predicted by earlier analyses which consider the sphere as a point force or a force doublet singularity. The effect of rotation of the sphere on the lift has also been analysed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 263 , 25 March 1994 , pp. 1 - 18
Copyright
© 1994 Cambridge University Press

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Footnotes

With an appendix by P. M. Lovalenti.

References

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