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Lookup NU author(s): Dr Anthony Youd,
Professor Carlo Barenghi
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The work of Benjamin, Mullin, Pfister and others on the non-uniqueness of solutions of the Navier-Stokes equation in Couette flow at small aspect ratio has revealed the existence of 'anomalous' 1-cell modes. A natural question to ask is whether these 'anomalous' modes are robust enough to survive the application of a body force, such as an externally applied magnetic field. We find that the answer is positive, although, with increasing magnetic field, steady 2-cell flows are generally more stable than 1-cell states. We also show that new time-dependent flows are easy to excite at relatively low Reynolds numbers compared to the case without a magnetic field, and we present two such flows. © 2006 Cambridge University Press.
Author(s): Youd AJ, Barenghi CF
Publication type: Article
Publication status: Published
Journal: Journal of Fluid Mechanics
ISSN (print): 0022-1120
ISSN (electronic): 1469-7645
Publisher: Cambridge University Press
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