Exact solutions for helical magnetohydrodynamic equilibria

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physics of Fluids B; (United States)

DOI:https://doi.org/10.1063/1.860750· OSTI ID:6483687

Villata, M ^[1]; Tsinganos, K ^[2]

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1. Istituto di Fisica Generale, Universita di Torino, Via Pietro Giuria 1, I-10125 Torino (Italy)
2. Department of Physics, University of Crete and Research Center of Crete, GR-71409, Heraklion, Crete (Greece)

Three novel classes of exact solutions of the generalized Grad--Shafranov equation for helically symmetric magnetohydrodynamic (MHD) equilibria are presented. The first two classes may be applied to helical MHD equilibria for plasma confined between two coaxial cylinders, while the third one to the modeling of helicoidal magnetic fields and flows in several recently observed astrophysical jets. The same solutions can be also used for the testing of sophisticated numerical codes. It is also shown that all helically symmetric MHD equilibria can be treated by the same general method which is employed to generate exact MHD solutions for systems possessing an ignorable coordinate in a system of three orthogonal basis vectors, although in the case of helical symmetry an [ital orthogonal] ignorable coordinate does not exist, contrary to what happens in the well-known cases of axial and translational symmetries.

• OSTI ID: 6483687
• Journal Information: Physics of Fluids B; (United States), Journal Name: Physics of Fluids B; (United States) Vol. 5:7; ISSN 0899-8221; ISSN PFBPEI
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700370* -- Plasma Fluid & MHD Properties-- (1992-)
ANALYTICAL SOLUTION
CONFIGURATION
CONFINEMENT
COORDINATES
CYLINDERS
EQUILIBRIUM
HELICAL CONFIGURATION
MHD EQUILIBRIUM
PLASMA CONFINEMENT
SOLAR ACTIVITY
SOLAR PROMINENCES
SYMMETRY