dorsal/arxiv
View SchemaCapture of particles of dust by convective flow
| Authors | Dmitry V. Lyubimov, Arthur V. Straube, Tatyana P. Lyubimova |
|---|---|
| Categories | |
| ArXiv ID | physics/0603155 |
| URL | https://arxiv.org/abs/physics/0603155 |
| DOI | 10.1063/1.1926187 |
| Journal | Physics of Fluids 17, 063302 (2005) |
Abstract
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.
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"abstract": "Interaction of particles of dust with vortex convective flows is under\ntheoretical consideration. It is assumed that the volume fraction of solid\nphase is small, variations of density due to nonuniform distribution of\nparticles and those caused by temperature nonisothermality of medium are\ncomparable. Equations for the description of thermal buoyancy convection of a\ndusty medium are developed in the framework of the generalized Boussinesq\napproximation taking into account finite velocity of particle sedimentation.\nThe capture of a cloud of dust particles by a vortex convective flow is\nconsidered, general criterion for the formation of such a cloud is obtained.\nThe peculiarities of a steady state in the form of a dust cloud and backward\ninfluence of the solid phase on the carrier flow are studied in detail for a\nvertical layer heated from the sidewalls. It is shown that in the case, when\nthis backward influence is essential, a hysteresis behavior is possible. The\nstability analysis of the steady state is performed. It turns out that there is\na narrow range of governing parameters, in which such a steady state is stable.",
"arxiv_id": "physics/0603155",
"authors": [
"Dmitry V. Lyubimov",
"Arthur V. Straube",
"Tatyana P. Lyubimova"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1063/1.1926187",
"journal_ref": "Physics of Fluids 17, 063302 (2005)",
"title": "Capture of particles of dust by convective flow",
"url": "https://arxiv.org/abs/physics/0603155"
},
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