The linear stability of a Stokes layer with an imposed axial magnetic field

Christian Thomas, Andrew P. Bassom, Christopher Davies

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Abstract

The effects of a uniform axial magnetic field directed towards an oscillating wall in a semi-infinite viscous fluid (or Stokes layer) is investigated. The linear stability and disturbance characteristics are determined using both Floquet theory and via direct numerical simulations. Neutral stability curves and critical parameters for instability are presented for a range of magnetic field strengths. Results indicate that a magnetic field directed towards the boundary wall is stabilizing, which is consistent with that found in many steady flows.

Original languageEnglish
Pages (from-to)320-328
Number of pages9
JournalJournal of Fluid Mechanics
Volume662
DOIs
Publication statusPublished - 10 Nov 2010
Externally publishedYes

Keywords

  • boundary layer stability

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