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The effects of surface tension and tube inclination on a two-dimensional rising bubble

Published online by Cambridge University Press:  21 April 2006

Benoit Couët  and
Gary S. Strumolo
Benoit Couët
Affiliation:
Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877-4108, USA Present address: Schlumberger Cambridge Research, P.O. Box 153, Cambridge, CB3 0HG, UK.
Gary S. Strumolo
Affiliation:
Schlumberger-Doll Research, Old Quarry Road, Ridgefield, CT 06877-4108, USA
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Abstract

The effects of surface tension σ and tube inclination β on the Froude number Fr of a large bubble rising in a two-dimensional duct is considered. It is found that there exists either one (for small σ and β > 0°) or a set (for any σ and β = 0°) of Fr-values for which the bubble has a continuous derivative at the nose. By selecting either this single Fr (or the maximum of the set), we obtain solutions in excellent agreement with both theoretical predictions and experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 184 , November 1987 , pp. 1 - 14
Copyright
© 1987 Cambridge University Press

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