dorsal/arxiv
View SchemaNew approach to deriving gas dynamics equations
| Authors | Alexander V. Kochin |
|---|---|
| Categories | |
| ArXiv ID | physics/0305056 |
| URL | https://arxiv.org/abs/physics/0305056 |
Abstract
We derive the gas dynamics equations considering changes of velocity distribution function on the scale of a molecule free path. We define the molecule velocity distribution function in a specific form so that only molecule velocities after intermolecular collisions in a chosen fixed volume are taken into account. The obtained equations differ from the well-known Navier-Stoks equations and contain the new terms. The continuity equation includes the second derivatives of dynamical viscosity. The equation of momentum conservation does not include the volume viscosity and the equation of energy conservation describes the transformation of gas mass velocity into the gas thermal energy. One can expect that these new equations of motion allow to construct a description of macroscopic physical phenomena in more complicated situations than the standard gas dynamics equations do.
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"abstract": "We derive the gas dynamics equations considering changes of velocity\ndistribution function on the scale of a molecule free path. We define the\nmolecule velocity distribution function in a specific form so that only\nmolecule velocities after intermolecular collisions in a chosen fixed volume\nare taken into account. The obtained equations differ from the well-known\nNavier-Stoks equations and contain the new terms. The continuity equation\nincludes the second derivatives of dynamical viscosity. The equation of\nmomentum conservation does not include the volume viscosity and the equation of\nenergy conservation describes the transformation of gas mass velocity into the\ngas thermal energy. One can expect that these new equations of motion allow to\nconstruct a description of macroscopic physical phenomena in more complicated\nsituations than the standard gas dynamics equations do.",
"arxiv_id": "physics/0305056",
"authors": [
"Alexander V. Kochin"
],
"categories": [
"physics.gen-ph",
"physics.flu-dyn"
],
"title": "New approach to deriving gas dynamics equations",
"url": "https://arxiv.org/abs/physics/0305056"
},
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