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Phys. Rev. E 78, 025301(R) (2008) [4 pages]

Dynamo action in Möbius flow

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Anvar Shukurov1, Rodion Stepanov1,2, and Dmitry Sokoloff3
1School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, United Kingdom
2Institute of Continuous Media Mechanics, Academy of Sciences, 1 Korolyov Street, Perm, 614013, Russia
3Department of Physics, Moscow State University, Moscow, 119992, Russia

Received 3 March 2008; published 1 August 2008

We demonstrate that flows of conducting fluid along a Möbius strip and related surfaces are hydromagnetic dynamos, i.e., they can produce an exponentially growing magnetic field from an infinitesimal seed. The critical magnetic Reynolds number in one of our models is as low as about 16. Together with other attractive features, this makes this flow an interesting candidate for a laboratory dynamo experiment.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.025301
DOI:
10.1103/PhysRevE.78.025301
PACS:
47.65.−d, 52.30.Cv, 52.72.+v
 
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