Abstract:
The influence of thermal excitation on a finite-amplitude vortex disturbance in a shear flow of a molecular gas is studied in a model problem. The evolution of such vortex structures is typical of both the nonlinear stage of the laminar–turbulent transition and for developed turbulence. Since the excitation level was assumed to be comparatively low, full Navier–Stokes equations for a compressible heat-conducting gas were used in calculations; nonequilibrium was taken into account by the coefficient of bulk viscosity. As the bulk viscosity increases in the range of realistic values, the disturbance-energy damping rate in a weakly compressible flow increases approximately by 10%. The increase in the Mach number enhances the effect of disturbance suppression.
Citation:
Yu. N. Grigor'ev, I. V. Ershov, “Relaxation-induced suppression of vortex disturbances in a molecular gas”, Prikl. Mekh. Tekh. Fiz., 44:4 (2003), 22–34; J. Appl. Mech. Tech. Phys., 44:4 (2003), 471–481
\Bibitem{GriErs03}
\by Yu.~N.~Grigor'ev, I.~V.~Ershov
\paper Relaxation-induced suppression of vortex disturbances in a molecular gas
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 4
\pages 22--34
\mathnet{http://mi.mathnet.ru/pmtf2514}
\elib{https://elibrary.ru/item.asp?id=17274806}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 4
\pages 471--481
\crossref{https://doi.org/10.1023/A:1024236705242}
Linking options:
https://www.mathnet.ru/eng/pmtf2514
https://www.mathnet.ru/eng/pmtf/v44/i4/p22
This publication is cited in the following 3 articles:
Yurii N. Grigoryev, Igor V. Ershov, Fluid Mechanics and Its Applications, 117, Stability and Suppression of Turbulence in Relaxing Molecular Gas Flows, 2017, 111
Yu. N. Grigor'ev, I. V. Ershov, “Dissipation of vortex disturbances in a vibrationally nonequilibrium diatomic gas”, Thermophys. Aeromech., 19:2 (2012), 183
Yu. N. Grigor'ev, I. V. Ershov, “Effect of bulk viscosity on Kelvin–Helmholtz instability”, J. Appl. Mech. Tech. Phys., 49:3 (2008), 407–416