On the stability and over-reflexion of hydromagnetic-gravity waves

I. A. Eltayeb*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


The stability of a magnetic-velocity shear layer, of thickness L, to hydromagnetic-gravity waves of zonal wavenumber k is investigated analytically, within the Boussinesq approximation, in the situation where ∊(= kL) is small. It is found that, in addition to the unstable modes of the corresponding sheet, new modes of instability of growth rate of order ∊2 are also present provided one critical level exists within the layer. The existence of one critical level also effects over-reflexion of stable modes. Furthermore it is shown that a magnetic shear acting alone can lead to instability as well as effecting over-reflexion of stable modes.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalJournal of Fluid Mechanics
Publication statusPublished - Apr 1981
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering


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