Toroidal flows in resistive magnetohydrodynamic steady states

L.P.J. Kamp, D.C. Montgomery, J.W. Bates

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Abstract

We consider the resistive steady states of a uniformly conducting magnetofluid inside a toroidal boundary. The problem becomes tractable in the limit of slow flow: i.e., low Reynolds number, which may be in turn justified when the viscous Lundquist number is small. Previous calculations are extended to apprehend the toroidal component of the necessary flow. The emerging pattern is one of helical vortices which seem likely to be ubiquitous in toroidal geometry, and which disappear in the ``straight--cylinder approximation.''
Original languageEnglish
Pages (from-to)1757-1767
JournalPhysics of Fluids
Volume10
Issue number7
DOIs
Publication statusPublished - 1998

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