dorsal/arxiv
View SchemaLattice Boltzmann Model for Axisymmetric Multiphase Flows
| Authors | Kannan N. Premnath, John Abraham |
|---|---|
| Categories | |
| ArXiv ID | physics/0503160 |
| URL | https://arxiv.org/abs/physics/0503160 |
| DOI | 10.1103/PhysRevE.71.056706 |
Abstract
In this paper, a lattice Boltzmann (LB) model is presented for axisymmetric multiphase flows. Source terms are added to a two-dimensional standard lattice Boltzmann equation (LBE) for multiphase flows such that the emergent dynamics can be transformed into the axisymmetric cylindrical coordinate system. The source terms are temporally and spatially dependent and represent the axisymmetric contribution of the order parameter of fluid phases and inertial, viscous and surface tension forces. A model which is effectively explicit and second order is obtained. This is achieved by taking into account the discrete lattice effects in the Chapman-Enskog multiscale analysis, so that the macroscopic axisymmetric mass and momentum equations for multiphase flows are recovered self-consistently. The model is extended to incorporate reduced compressibility effects. Axisymmetric equilibrium drop formation and oscillations, breakup and formation of satellite droplets from viscous liquid cylindrical jets through Rayleigh capillary instability and drop collisions are presented. Comparisons of the computed results with available data show satisfactory agreement.
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"abstract": "In this paper, a lattice Boltzmann (LB) model is presented for axisymmetric\nmultiphase flows. Source terms are added to a two-dimensional standard lattice\nBoltzmann equation (LBE) for multiphase flows such that the emergent dynamics\ncan be transformed into the axisymmetric cylindrical coordinate system. The\nsource terms are temporally and spatially dependent and represent the\naxisymmetric contribution of the order parameter of fluid phases and inertial,\nviscous and surface tension forces. A model which is effectively explicit and\nsecond order is obtained. This is achieved by taking into account the discrete\nlattice effects in the Chapman-Enskog multiscale analysis, so that the\nmacroscopic axisymmetric mass and momentum equations for multiphase flows are\nrecovered self-consistently. The model is extended to incorporate reduced\ncompressibility effects. Axisymmetric equilibrium drop formation and\noscillations, breakup and formation of satellite droplets from viscous liquid\ncylindrical jets through Rayleigh capillary instability and drop collisions are\npresented. Comparisons of the computed results with available data show\nsatisfactory agreement.",
"arxiv_id": "physics/0503160",
"authors": [
"Kannan N. Premnath",
"John Abraham"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"doi": "10.1103/PhysRevE.71.056706",
"title": "Lattice Boltzmann Model for Axisymmetric Multiphase Flows",
"url": "https://arxiv.org/abs/physics/0503160"
},
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