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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 8, Pages 1499–1505 (Mi zvmmf4926)

This article is cited in 3 papers

A ground nonequilibrium jet boundary layer in a polyatomic gas

A. L. Ankudinov

Zhukovskii Central Institute of Aerohydrodynamics, ul. Zhukovskogo 1, Zhukovskii, Moscow oblast, 140180 Russia

Abstract: The two-dimensional nonequilibrium hypersonic free jet boundary layer gas flow in the near wake of a body is studied using a closed system of macroscopic equations obtained (as a thin-layer version) from moment equations of kinetic origin for a polyatomic single-component gas with internal degrees of freedom. (This model is can be used to study flows with strong violations of equilibrium with respect to translational and internal degrees of freedom.) The solution of the problem under study (i.e., the kinetic model of a nonequilibrium homogeneous polyatomic gas flow in a free jet boundary layer) is shown to be related to the known solution of the well-studied simpler problem of a Navier–Stokes free jet boundary layer, and a method based on this relation is proposed for solving the former problem. It is established that the gas flow velocity distribution along the separating streamline in the kinetic problem of a free jet boundary layer coincides with the distribution obtained by solving the Navier–Stokes version of the problem. It is found that allowance for the nonequilibrium nature of the flow with respect to the internal and translational degrees of freedom of a single-component polyatomic gas in a hypersonic free jet boundary layer has no effect on the base pressure and the wake angle.

Key words: hypersonic flow, near wake region, free jet boundary layer, homogeneous polyatomic gas, nonequilibrium with respect to internal and translational degrees of freedom, thin-layer version of the 13-moment equations in the kinetic theory of gases.

UDC: 519.634

Received: 06.07.2009


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:8, 1427–1432

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