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

Thomas, C., Bassom, A. P. and Davies, Christopher ORCID: https://orcid.org/0000-0002-5592-9541 2010. The linear stability of a Stokes layer with an imposed axial magnetic field. Journal of Fluid Mechanics 662 , pp. 320-328. 10.1017/S0022112010004210

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	boundary layer stability
Additional Information:	Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/0022-1120/ (accessed 21/02/2014).
Publisher:	Cambridge University Press
ISSN:	0022-1120
Date of First Compliant Deposit:	30 March 2016
Last Modified:	06 Jan 2024 04:51
URI:	https://orca.cardiff.ac.uk/id/eprint/13417

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