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

journal contribution
posted on 2023-05-18, 15:51 authored by Thomas, C, Andrew BassomAndrew Bassom, Davies, C
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.

History

Publication title

Journal of Fluid Mechanics

Volume

662

Pagination

320-328

ISSN

0022-1120

Department/School

School of Natural Sciences

Publisher

Cambridge Univ Press

Place of publication

40 West 20Th St, New York, USA, Ny, 10011-4211

Rights statement

Copyright Cambridge University Press 2010

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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