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On the shape of a gas bubble in a viscous extensional flow

Published online by Cambridge University Press:  11 April 2006

G. K. Youngren  and
A. Acrivos
G. K. Youngren
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, California 94305 Present address: Atlantic-Richfield Company, Plano, Texas.
A. Acrivos
Affiliation:
Department of Chemical Engineering, Stanford University, Stanford, California 94305
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Abstract

The method developed previously (Youngren & Acrivos 1975) for obtaining numerical solutions to the Stokes equations for flows past solid particles is extended to problems with free boundaries. This technique is applied to the determination of steady shapes for an inviscid gas bubble symmetrically placed in an extensional flow. For large surface tension the computed bubble shape is found to be in excellent agreement with that obtained analytically by Barthès-Biesel & Acrivos (1973), while for small surface tension it agrees with an expression derived by Buckmaster (1972) using slender-body theory.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 76 , Issue 3 , 11 August 1976 , pp. 433 - 442
Copyright
© 1976 Cambridge University Press

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