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On the motion of particles in non-uniformly vibrating liquid

Published online by Cambridge University Press:  01 June 1999

OLGA M. LAVRENTEVA
Affiliation:
Lavrentyev Institute of Hydrodynamics, Novosibirsk 630090, Russia Present address: Department of Chemical Engineering, Technion, Haifa 3200, Israel.
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Abstract

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The motion of a rigid particle in an inviscid non-uniformly vibrating ambient liquid is considered. The vibrations are caused by a dipole changing its strength in time. This model of a vibrator presents an asymptotic case of vibrations caused by a rigid sphere periodically changing its position when the radius and amplitude are small and the velocity is large. It is found that periodic oscillations with zero mean can cause the directed motion of a submerged particle even if its density equals that of the liquid. The direction of the motion is studied. It is shown that particles of density not less that of the ambient liquid are attracted by a vibrator. The direction of motion of lighter particles depends on their initial position.

Type
Research Article
Copyright
1999 Cambridge University Press