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Wall effects on a sphere translating at constant velocity

Published online by Cambridge University Press:  20 April 2006

A. Ambari ,
B. Gauthier-Manuel  and
E. Guyon
A. Ambari
Affiliation:
Laboratoire d'Hydrodynamique et de Mécanique Physique, ERA No 1000, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05
B. Gauthier-Manuel
Affiliation:
Laboratoire d'Hydrodynamique et de Mécanique Physique, ERA No 1000, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05
E. Guyon
Affiliation:
Laboratoire d'Hydrodynamique et de Mécanique Physique, ERA No 1000, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05
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Abstract

We present experimental results on the modified Stokes force F exerted on a sphere in magnetic levitation whose position is kept fixed by an optical feedback system. A Newtonian liquid moves at a constant velocity U relative to the sphere. We consider the motion in two different situations.

(i) When the sphere approaches a wall perpendicular to U, the increase in |F| due to lubrication agrees quantitatively with theoretical results such as those of Brenner (1961) and Maude (1961), obtained neglecting the unsteadiness of the flow field.

(ii) In the complementary situation of a sphere moving along the axis of a cylindrical tube, our results expressed as a function of the eccentricity of the trajectory and of the ratio of the two radii confirm and extend previous theoretical analyses. They show in particular the existence of a minimum of |F| away from the axis of the cylinder and a sharp increase in |F| when the sphere approaches the sidewall. By comparing with the results for a sphere moving parallel to a flat wall, we analyse the effect of the curvature of the cylindrical tube.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 149 , December 1984 , pp. 235 - 253
Copyright
© 1984 Cambridge University Press

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