ON THE STABILITY AND OVER-REFLEXION OF HYDROMAGNETIC-GRAVITY WAVES.

Research output: Contribution to journalArticle

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Abstract

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 epsilon ( equals 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 epsilon **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. Refs.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalJournal of Fluid Mechanics
Volume105
Publication statusPublished - Apr 1981

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Gravity waves
gravity waves
magnetohydrodynamics
Boussinesq approximation
shear layers
shear

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

ON THE STABILITY AND OVER-REFLEXION OF HYDROMAGNETIC-GRAVITY WAVES. / Eltayeb, I. A.

In: Journal of Fluid Mechanics, Vol. 105, 04.1981, p. 1-18.

Research output: Contribution to journalArticle

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