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


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Abstract

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).

About the authors

V. S. Galkin

Zhukovsky Central Aerohydrodynamic Institute (TsAGI)

Author for correspondence.
Email: dsmc1@mail.ru
Russian Federation, Zhukovsky, Moscow oblast

S. V. Rusakov

Zhukovsky Central Aerohydrodynamic Institute (TsAGI)

Email: dsmc1@mail.ru
Russian Federation, Zhukovsky, Moscow oblast

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