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Axial stability of Taylor bubbles

Published online by Cambridge University Press:  10 November 2006

X. LU  and
A. PROSPERETTI
X. LU
Affiliation:
Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
A. PROSPERETTI
Affiliation:
Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA Faculty of Applied Physics, Twente Institute of Mechanics, and Burgerscentrum, University of Twente, AE 7500 Enschede, The Netherlands
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Abstract

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Long gas bubbles rising in a vertical tube are observed to lose axial symmetry and become unstable in a downward liquid flow. In this paper an approximate linear stability analysis of this phenomenon is presented. It is found that, under the combined effect of gravity and the pressure gradient which drives the liquid flow, the relative velocity between the bubble and the liquid decreases with increasing downflow, which diminishes the stabilizing effect of convection. The decrease of the relative velocity is accompanied by a flattening of the bubble nose, which also has a destabilizing effect by strengthening the Rayleigh–Taylor instability at the bubble nose.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 568 , 10 December 2006 , pp. 173 - 192
Copyright
© 2006 Cambridge University Press