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The centring dynamics of a thin liquid shell in capillary oscillations

Published online by Cambridge University Press:  21 April 2006

Chun P. Lee  and
Taylor G. Wang
Chun P. Lee
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91103, USA
Taylor G. Wang
Affiliation:
Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91103, USA
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Abstract

The physical mechanism governing the centring of a hollow liquid shell in capillary oscillations, which has been observed in experiments, is investigated theoretically. First, the shell is assumed to be inviscid and to have a thickness that is much less than its spherical radius. A system of one-dimensional nonlinear equations of motion is derived using a thin-sheet model. From a numerical study the nonlinear effects of the wave are found to cause the core to oscillate slowly relative to the shell while the centre of mass of the whole system remains stationary. The effects of small viscosity are then considered in an approximation. Finally the strength of the centring mechanism is compared with that of the decentring effect due to buoyancy. The findings are consistent with the limited experimental information available.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 188 , March 1988 , pp. 411 - 435
Copyright
© 1988 Cambridge University Press

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