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Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
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IssuesArchive of Issues2015-2pp.148-158

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Total articles in the database: 1813
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V.S. Galkin and S.V. Rusakov, "The gas dynamics equations of slow flows of polyatomic gas mixtures, non-uniform in temperature and concentrations," J. Appl. Math. Mech. 79 (2), 148-158 (2015)
Year 2015 Volume 79 Issue 2 Pages 148-158
DOI 10.1016/j.jappmathmech.2015.07.005
Title The gas dynamics equations of slow flows of polyatomic gas mixtures, non-uniform in temperature and concentrations
Author(s) V.S. Galkin (Zhukovskii, Russia)
S.V. Rusakov (Zhukovskii, Russia,
Abstract The formulation of the system of equations of the mechanics of a gas as a continuous medium is completed. This describes the non-stationary slow laminar flow of a mixture of gases (the Mach number being much less than unity), for a Reynolds number and relative drops in temperature and molar fractions of the order of unity. The distribution with respect to the internal energies of the molecules is close to Boltzmann (the case of rapid exchanges of translational and internal energies of the molecules). The difference from the similar system of equations in the Navier-Stokes approximation is the fact that in the equation of motion the Burnett stresses, expressed in terms of the second differential and paired products of the first derivatives with respect to the temperature and molar fractions (concentrations) are taken into account. A consequence of the action of these stresses is thermal-stress and concentration-stress convection. Special cases and possible extensions are considered.
Received 28 April 2014
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