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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).

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Authors and Affiliations

  1. Zhukovsky Central Aerohydrodynamic Institute (TsAGI), Zhukovsky, Moscow oblast, Russia

    V. S. Galkin & S. V. Rusakov

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  1. V. S. Galkin
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  2. S. V. Rusakov
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Correspondence to V. S. Galkin.

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Original Russian Text © V.S. Galkin, S.V. Rusakov, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2018, No. 1, pp. 156–173.

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Galkin, V.S., Rusakov, S.V. Status of the Navier–Stokes Equations in Gas Dynamics. A Review. Fluid Dyn 53, 152–168 (2018). https://doi.org/10.1134/S0015462818010056

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