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Dissipation of the Kelvin–Helmholts Waves in a Relaxing Molecular Gas

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Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 117))

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Abstract

This chapter presents the results of numerical simulations of the full cycle of evolution of the Kelvin -Helmholtz instability, which adequately reproduce the local mechanism of turbulization of the free shear flow. The problem is considered both within the frameworks of the Navier-Stokes equations for a moderate level of thermal nonequilibrium and using the full system of equations of two-temperature aerodynamics for a vibrationally excited gas. Plane waves preliminary calculated by numerical solution of appropriate linearized systems of inviscid gas-dynamic equations are used as initial perturbations. The known pattern of the evolution of the “cat’s-eye” large-scale vortex structure typical for the emergence and development of inertial instability is reproduced in detail. The calculated results show the enhancement of dissipation of the kinetic energy of the structure on a background of relaxation process.

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Correspondence to Yurii N. Grigoryev .

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Grigoryev, Y.N., Ershov, I.V. (2017). Dissipation of the Kelvin–Helmholts Waves in a Relaxing Molecular Gas . In: Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows. Fluid Mechanics and Its Applications, vol 117. Springer, Cham. https://doi.org/10.1007/978-3-319-55360-3_7

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