Linear Stability of Supersonic Plane Couette Flow of Vibrationally Excited Gas

  • Yurii N. GrigoryevEmail author
  • Igor V. Ershov
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 117)


The chapter contains the results of numerical and analytical studies of linear stability of a supersonic Couette flow of a vibrationally excited gas. Properties of even and odd inviscid modes of disturbances are analyzed as functions of the Mach number, depth of excitation of vibrational levels, and characteristic relaxation time. The general structure of the spectrum of plane perturbations is studied for finite Reynolds numbers. Two most unstable acoustic viscous modes are identified. Results calculated with using the constant viscosity model and Sutherland’s law are compared. Neutral stability curves are obtained, which show that the dissipative effect of vibrational mode excitation is inherent in both models of viscosity. The relative increase in the critical Reynolds number caused by excitation is approximately 12%.


Mach Number Spectral Problem Couette Flow Viscosity Model Critical Reynolds Number 
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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Computational TechnologiesRussian Academy of SciencesNovosibirskRussia

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