Linear Stability of the Boundary Layer of Relaxing Gas on a Plate

Yu N. Grigor’ev, I. V. Ershov

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The development of inviscid and viscous two-dimensional subsonic disturbances in the supersonic flat-plate boundary layer of a vibrationally excited gas is investigated on the basis of the linear stability theory. The system of two-temperature gas dynamics which includes the Landau-Teller relaxation equation is used as the initial model. Undisturbed flow is described by the self-similar boundary-layer solution for a perfect gas. It is shown that in the inviscid approximation excitation decreases the maximum growth rate of the most unstable second mode by 10–12% as compared with an ideal gas. The neutral stability curves are calculated for the first and second most unstable modes at the Mach numbers M = 2.2, 4.5, and 4.8. For both modes the critical Reynolds numbers at maximum excitation are greater by 12–13% than the corresponding values for the perfect gas.

Original languageEnglish
Pages (from-to)295-307
Number of pages13
JournalFluid Dynamics
Issue number3
Publication statusPublished - 1 May 2019


  • critical Reynolds numbers
  • linear stability
  • unstable modes


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