Abstract
Plasma rotation appears in many problems of fusion (neutral beam injection) and astrophysical (magnetic stars) interest. In the case of a time-independent plasma velocity it is possible to describe a stationary magnetohydrodynamical (MHD) equilibrium by a set of infinitely nested flux surfaces. Maschke and Perrin have obtained an equation describing stationary MHD equilibria for azimuthal (toroidal) plasma rotations, when the entropy is constant on magnetic flux surfaces. In the present paper we express their equation in curvilinear coordinates, both in orthogonal and non-orthogonal cases, provided there is an ignorable quantity. This equation is presented in some coordinate systems of plasma physics interest. We consider approximated analytical and semi-analytical solutions for plasma configurations in cylindrical and spherical coordinates.
Highlights
Plasma rotations are present in various problems of both fusion and astrophysical plasmas
Plasma rotation in toroidal systems like tokamaks is often related to non-inductive current drive schemes like neutral beam injection
If the plasma velocity is time-independent the usual picture of nested toroidally-shaped magnetic flux surfaces can be retained, but with an extra outward displacement caused by plasma rotation
Summary
Sidney Tiago da Silva, Fabiane Fátima de Carvalho, Paolo Tito Estrada Marroquin and Ricardo Luiz Viana. Original content from this Abstract work may be used under Plasma rotation appears in many problems of fusion (neutral beam injection) and astrophysical the terms of the Creative. Stationary magnetohydrodynamical (MHD) equilibrium by a set of infinitely nested flux surfaces. Maschke and Perrin have obtained an equation describing stationary MHD equilibria for azimuthal attribution to the author(s) and the title of (toroidal) plasma rotations, when the entropy is constant on magnetic flux surfaces. Cases, provided there is an ignorable quantity. This equation is presented in some coordinate systems of plasma physics interest. We consider approximated analytical and semi-analytical solutions for plasma configurations in cylindrical and spherical coordinates
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