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Hydromagnetic Taylor-Couette flow at very small aspect ratio

Lookup NU author(s): Dr Anthony Youd, Professor Carlo Barenghi

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Abstract

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.

Publication metadata

Author(s): Youd AJ, Barenghi CF

Publication type: Article

Publication status: Published

Journal: Journal of Fluid Mechanics

Year: 2006

Volume: 550

Pages: 27-42

ISSN (print): 0022-1120

ISSN (electronic): 1469-7645

Publisher: Cambridge University Press

URL: http://dx.doi.org/10.1017/S0022112005007743

DOI: 10.1017/S0022112005007743

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