Linear Stability of Inviscid Plane-Parallel Flows of Vibrationally Excited Diatomic Gases

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


This chapter is devoted to investigations of linear stability of plane-parallel flows of an inviscid nonheat-conducting vibrationally excited gas. Some classical results of the theory of linear stability of ideal gas flows, such as the first and second Rayleigh’s theorems and Howard’s theorem, are generalized. An equation of the energy balance of disturbances is derived, which shows that vibrational relaxation generates an additional dissipative factor, which enhances flow stability. Calculations of the most unstable inviscid modes with the maximum growth rates in a free shear layer are described. It is shown that enhancement of excitation of vibrational modes leads to reduction of the growth rates of inviscid disturbances.


Mach Number Vibrational Mode Potential Vorticity Bulk Viscosity Unstable Mode 
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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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