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1 1999

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Flows of bubbly liquids

Tao L., Rajagopal K. R.

Applied Mechanics and Engineering

1999

Vol. 4, no 3

407-442

This paper deals with the modeling of flows of a Newtonian liquid dispersed with bubbles. We provide an averaging procedure that combines and gainfully exploits area, volume and ensemble averaging methods, and arrives at the governing equations for bubbly liquids. Expressions are suggested for the interaction mechanisms and other constitutive quantities that appear as a consequence of the averaging. Restrictions on the constitutive quantities due to the second law of thermodynamics are delineated and a specific boundary value problem solved within the context of the theory. It is found that the prediction of the theory compares favorably with experimental observations for the specific boundary value problem under consideration.