Weakly nonlinear stability of Hartmann boundary layers

P. Moresco, T. Alboussière

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

By means of a weakly nonlinear stability analysis it is shown that the Hartmann boundary layer presents subcritical instability in the proximity of the minimum linear critical Reynolds number. This gives further support to earlier speculations that finite amplitude effects account for the discrepancies between the results of the linear stability analysis and experimental evidence on laminarisation.

Original languageEnglish
Pages (from-to)345-353
Number of pages9
JournalEuropean Journal of Mechanics, B/Fluids
Volume22
Issue number4
DOIs
StatePublished - Jul 2003
Externally publishedYes

Funding

This work was supported by the Engineering and Physical Sciences Research Council of the UK, grant GR/N04072.

Keywords

  • Hartmann layers
  • Magnetohydrodynamics
  • Transition
  • Weakly nonlinear

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