a1 School of Mathematics & Statistics, University of Western Australia, Crawley, WA 6009, Australia
a2 School of Mathematics, Cardiff University, Cardiff CF24 4AG, UK
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.
(Received June 27 2010)
(Revised August 02 2010)
(Accepted August 04 2010)
(Online publication September 27 2010)