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Dispersed-phase stress tensor in flows of bubbly liquids at large Reynolds numbers

Published online by Cambridge University Press:  26 April 2006

A. S. Sangani  and
A. K. Didwania
A. S. Sangani
Affiliation:
Department of Chemical Engineering and Materials Science, Syracuse University, Syracuse, NY 13244, USA
A. K. Didwania
Affiliation:
Department of Chemical Engineering and Materials Science, Syracuse University, Syracuse, NY 13244, USA Present address: Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, CA 92093-0310, USA.
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Abstract

We derive averaged equations for large Reynolds number laminar flows of gas–liquid dispersions accounting for slowly varying spatial and temporal fields. In particular, we obtain an exact expression for the dispersed-phase stress tensor to be used in the force balance equation for gas bubbles and illustrate its application by evaluating the stress tensor for a few special cases. It is shown that the dispersed-phase stress tensor gradient with respect to the mean relative motion or the void fraction for the uniformly random bubbly liquids under conditions of large Reynolds number laminar flows is negative and thus has a destabilizing influence on the dynamics of void fraction waves in bubbly liquids.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 248 , March 1993 , pp. 27 - 54
Copyright
© 1993 Cambridge University Press

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