dorsal/arxiv
View SchemaFluid dynamics at arbitrary Knudsen on a base of Alexeev-Boltzmann equation: sound in a rarefied gas
| Authors | Sergey B. Leble, Maxim A. Solovchuk |
|---|---|
| Categories | |
| ArXiv ID | physics/0608133 |
| URL | https://arxiv.org/abs/physics/0608133 |
Abstract
The system of hydrodynamic-type equations is derived from Alexeev's generalized Boltzmann kinetic equation by two-side distribution function for a stratified gas in gravity field. It is applied to a problem of ultrasound propagation and attenuation. The linearized version of the obtained system is studied and compared with the Navier-Stokes one at arbitrary Knudsen numbers. The problem of a generation by a moving plane in a rarefied gas is explored and used as a test while compared with experiment. It is good agreement between predicted propagation speed, attenuation factor and experimental results for a wide range of Knudsen numbers.
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"date_created": "2026-03-02T18:01:11.223000Z",
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"abstract": "The system of hydrodynamic-type equations is derived from Alexeev\u0027s\ngeneralized Boltzmann kinetic equation by two-side distribution function for a\nstratified gas in gravity field. It is applied to a problem of ultrasound\npropagation and attenuation. The linearized version of the obtained system is\nstudied and compared with the Navier-Stokes one at arbitrary Knudsen numbers.\nThe problem of a generation by a moving plane in a rarefied gas is explored and\nused as a test while compared with experiment. It is good agreement between\npredicted propagation speed, attenuation factor and experimental results for a\nwide range of Knudsen numbers.",
"arxiv_id": "physics/0608133",
"authors": [
"Sergey B. Leble",
"Maxim A. Solovchuk"
],
"categories": [
"physics.flu-dyn"
],
"title": "Fluid dynamics at arbitrary Knudsen on a base of Alexeev-Boltzmann equation: sound in a rarefied gas",
"url": "https://arxiv.org/abs/physics/0608133"
},
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