TY  - JOUR
A1  - Straube, Arthur V.
A1  - Lyubimov, Dmitry V.
A1  - Shklyaev, Sergey V.
T1  - Averaged dynamics of two-phase media in a vibration field
N2  - 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. (C) 2006 American Institute of Physics
Y1  - 2006
UR  - http://pof.aip.org/resource/1/phfle6/v18/i5/p053303_s1?view=fulltext
U6  - https://doi.org/10.1063/1.2204057
ER  - 
TY  - JOUR
A1  - Lyubimov, Dmitry V.
A1  - Straube, Arthur V.
A1  - Lyubimova, T. P.
T1  - Capture of particles of dust by convective flow
N2  - Interaction of particles of dust with vortex convective flows is under theoretical consideration. It is assumed that the volume fraction of solid phase is small, variations of density due to nonuniform distribution of particles and those caused by temperature nonisothermality of medium are comparable. Equations for the description of thermal buoyancy convection of a dusty medium are developed in the framework of the generalized Boussinesq approximation taking into account finite velocity of particle sedimentation. The capture of a cloud of dust particles by a vortex convective flow is considered, general criterion for the formation of such a cloud is obtained. The peculiarities of a steady state in the form of a dust cloud and backward influence of the solid phase on the carrier flow are studied in detail for a vertical layer heated from the sidewalls. It is shown that in the case, when this backward influence is essential, a hysteresis behavior is possible. The stability analysis of the steady state is performed. It turns out that there is a narrow range of governing parameters, in which such a steady state is stable. (c) 2005 American Institute of Physics
Y1  - 2005
SN  - 1070-6631
ER  -