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A long bubble rising in still liquid in a vertical channel: a plane inviscid solution

Published online by Cambridge University Press:  25 May 2016

Jean Fabre
Jean Fabre*
Affiliation:
Institut de Mécanique des Fluides, Institut National Polytechnique de Toulouse, Allée du Professeur Camille Soula, 31400 Toulouse, France
*
†Email address for correspondence: Jean.Fabre@imft.fr
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Abstract

An analytical model is proposed for flow around a plane bubble rising steadily in a channel. The fluid surrounding the bubble is assumed to be inviscid, and the flow is assumed to be irrotational. The resulting potential flow is sought as the sum of a uniform stream and a source in the unit strip. Explicit expressions for the bubble shape and rise velocity, and for the streamlines, are given as functions of the dimensionless surface tension. The predictions are in good agreement with existing experimental and numerical results.

JFM classification

Drops and Bubbles: Bubble dynamics Drops and Bubbles: Drops and Bubbles Multiphase and Particle-laden Flows: Gas/liquid flow
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 797 , 25 June 2016 , R4
Copyright
© 2016 Cambridge University Press 

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