dorsal/arxiv
View SchemaSlow inviscid flows of a compressible fluid in spatially inhomogeneous systems
| Authors | V. P. Ruban |
|---|---|
| Categories | |
| ArXiv ID | physics/0007010 |
| URL | https://arxiv.org/abs/physics/0007010 |
| DOI | 10.1103/PhysRevE.64.036305 |
| Journal | Phys. Rev. E 64, 036305 (2001) |
Abstract
An ideal compressible fluid is considered, with an equilibrium density being a given function of coordinates due to presence of some static external forces. The slow flows in such system, which do not disturb the density, are investigated with the help of the Hamiltonian formalism. The equations of motion of the system are derived for an arbitrary given topology of the vorticity field. The general form of the Lagrangian for frozen-in vortex lines is established. The local induction approximation for motion of slender vortex filaments in several inhomogeneous physical models is studied.
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"abstract": "An ideal compressible fluid is considered, with an equilibrium density being\na given function of coordinates due to presence of some static external forces.\nThe slow flows in such system, which do not disturb the density, are\ninvestigated with the help of the Hamiltonian formalism. The equations of\nmotion of the system are derived for an arbitrary given topology of the\nvorticity field. The general form of the Lagrangian for frozen-in vortex lines\nis established. The local induction approximation for motion of slender vortex\nfilaments in several inhomogeneous physical models is studied.",
"arxiv_id": "physics/0007010",
"authors": [
"V. P. Ruban"
],
"categories": [
"physics.flu-dyn",
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.64.036305",
"journal_ref": "Phys. Rev. E 64, 036305 (2001)",
"title": "Slow inviscid flows of a compressible fluid in spatially inhomogeneous systems",
"url": "https://arxiv.org/abs/physics/0007010"
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