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One-field equations for two-phase flows

Published online by Cambridge University Press:  17 February 2009

Murray Rudman
Murray Rudman
Affiliation:
Commonwealth Scientific and Industrial Research Organisation, Division of Building, Construction and Engineering, PO Box 56, Highett, Victoria 3190, Australia
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Abstract

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A new derivation of the averaged heat and mass transport equations for two-phase flows is presented. A volume averaging technique is used in which averaging is perform over both phases simultaneously in order to derive equations that describe transport the mixture, rather than transport in each phase. The derivation is particularly applicable to incompressible liquid/solid systems in which the two phases are tightly coupled. An example of the numerical solution of the equations is then presented in which a thermally convecting suspension is modelled. It is seen that large-scale instability can result from the interaction of thermal and compositional density gradients.

Type
Research Article
Information
The ANZIAM Journal , Volume 39 , Issue 2 , October 1997 , pp. 149 - 170
Copyright
Copyright © Australian Mathematical Society 1997

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