Atsushi Ito and Noriyoshi Nakajima 2009 Plasma Phys. Control. Fusion 51 035007 doi:10.1088/0741-3335/51/3/035007
Analytic high-beta tokamak equilibria with poloidal-sonic flow
Atsushi Ito and Noriyoshi Nakajima
Show affiliationsA reduced set of equations for high-beta tokamak equilibria with flow comparable to the poloidal sound velocity is solved analytically. The solution includes higher-order terms of asymptotic expansions in terms of the inverse aspect ratio and indicates the modification of the magnetic structure and the departure of the pressure surfaces from the magnetic surfaces by sub- or super-poloidal-sonic flows. The analytical representation for the shift of the magnetic axis from the geometrical axis (the Shafranov shift) and that of the pressure maximum and the equilibrium beta limit are also obtained. The Shafranov shift is enhanced by a slightly super-poloidal-sonic flow and it produces a forbidden region of equilibrium by the poloidal-sonic flow. The physical mechanism of the shift of the pressure maximum from the magnetic axis due to the poloidal-sonic flow is discussed in analogy to those of the geodesic acoustic mode and the slow magnetosonic wave.
- PACS
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52.55.Fa Tokamaks, spherical tokamaks
52.30.Cv Magnetohydrodynamics (including electron magnetohydrodynamics)
- Subjects
- Dates
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Issue 3 (March 2009)
Received 19 August 2008, in final form 22 October 2008
Published 31 December 2008
A Corrigendum for this article has been published in 2010 Plasma Phys. Control. Fusion 52 079802
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Analytic high-beta tokamak equilibria with poloidal-sonic flow
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