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

Published online by Cambridge University Press:  27 September 2010

CHRISTIAN THOMAS ,
ANDREW P. BASSOM  and
CHRISTOPHER DAVIES
CHRISTIAN THOMAS
Affiliation:
School of Mathematics & Statistics, University of Western Australia, Crawley, WA 6009, Australia
ANDREW P. BASSOM*
Affiliation:
School of Mathematics & Statistics, University of Western Australia, Crawley, WA 6009, Australia
CHRISTOPHER DAVIES
Affiliation:
School of Mathematics, Cardiff University, Cardiff CF24 4AG, UK
*
†Email address for correspondence: bassom@maths.uwa.edu.au
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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.

JFM classification

Boundary Layers: Boundary layer stability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 662 , 10 November 2010 , pp. 320 - 328
Copyright
Copyright © Cambridge University Press 2010

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References

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