Status of the Navier–Stokes Equations in Gas Dynamics. A Review

The existing ideas on the status of the Navier–Stokes equations are changed in taking into account the following facts: generally speaking, the terms of these equations neglected in the boundary layer equations are of the order of certain Burnett terms in the conservation equations; the Navier–Stoke...

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Bibliographic Details
Published in:Fluid dynamics 2018, Vol.53 (1), p.152-168
Main Authors: Galkin, V. S., Rusakov, S. V.
Format: Article
Language:English
Subjects:
Boundary layer
Boundary layer equations
Classical and Continuum Physics
Classical Mechanics
Conservation equations
Engineering Fluid Dynamics
Fluid dynamics
Fluid flow
Fluid- and Aerodynamics
Gas dynamics
Mathematical analysis
Navier-Stokes equations
Physics
Physics and Astronomy
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Summary:The existing ideas on the status of the Navier–Stokes equations are changed in taking into account the following facts: generally speaking, the terms of these equations neglected in the boundary layer equations are of the order of certain Burnett terms in the conservation equations; the Navier–Stokes equations cannot be used to describe slow nonisothermal gas flows since in this case it is necessary to take the Burnett temperature stresses into account; and in the transport relations the Burnett terms determine certain effects (for example, the mechanocaloric effect).
ISSN:0015-4628
1573-8507
DOI:10.1134/S0015462818010056