dorsal/arxiv
View SchemaAveraged dynamics of two-phase media in a vibration field
| Authors | Arthur V. Straube, Dmitry V. Lyubimov, Sergey V. Shklyaev |
|---|---|
| Categories | |
| ArXiv ID | physics/0603151 |
| URL | https://arxiv.org/abs/physics/0603151 |
| DOI | 10.1063/1.2204057 |
| Journal | Physics of Fluids 18, 053303 (2006) |
Abstract
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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"abstract": "The averaged dynamics of various two-phase systems in a high-frequency\nvibration field is studied theoretically. The continuum approach is applied to\ndescribe such systems as solid particle suspensions, emulsions, bubbly fluids,\nwhen the volume concentration of the disperse phase is small and gravity is\ninsignificant. The dynamics of the disperse system is considered by means of\nthe method of averaging, when the fast pulsation and slow averaged motion can\nbe treated separately. Two averaged models for both nondeformable and\ndeformable particles, when the compressibility of the disperse phase becomes\nimportant, are obtained. A criterion when the compressibility of bubbles cannot\nbe neglected is figured out. For both cases the developed models are applied to\nstudy the averaged dynamics of the disperse media in an infinite plane layer\nunder the action of transversal vibration.",
"arxiv_id": "physics/0603151",
"authors": [
"Arthur V. Straube",
"Dmitry V. Lyubimov",
"Sergey V. Shklyaev"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1063/1.2204057",
"journal_ref": "Physics of Fluids 18, 053303 (2006)",
"title": "Averaged dynamics of two-phase media in a vibration field",
"url": "https://arxiv.org/abs/physics/0603151"
},
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