Averaged dynamics of two-phase media in a vibration field

Details Averaged dynamics of two-phase media in a vibration field Averaged dynamics of two-phase media in a vibration field

2006-03-19

arxiv.org/abs/physics/0603151v2

Physics of Fluids 18, 053303 (2006)

Physics

Fluid Dynamics

new version with some minor changes, added journal reference and DOI information; 15 pages, 7 figures, published in Physics of

Scientific paper

10.1063/1.2204057

The averaged dynamics of various two-phase systems in a high-frequency vibration field is studied theoretically. The continuum approach is applied to describe such systems as solid particle suspensions, emulsions, bubbly fluids, when the volume concentration of the disperse phase is small and gravity is insignificant. The dynamics of the disperse system is considered by means of the method of averaging, when the fast pulsation and slow averaged motion can be treated separately. Two averaged models for both nondeformable and deformable particles, when the compressibility of the disperse phase becomes important, are obtained. A criterion when the compressibility of bubbles cannot be neglected is figured out. For both cases the developed models are applied to study the averaged dynamics of the disperse media in an infinite plane layer under the action of transversal vibration.

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