A class of semi-analytical solutions for a rotating toroidal plasma

Details A class of semi-analytical solutions for a rotating toroidal plasma A class of semi-analytical solutions for a rotating toroidal plasma

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ap%26ss.145..277k&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 145, no. 2, June 1988, p. 277-286.

Astronomy and Astrophysics

Astrophysics

2

Magnetohydrodynamic Flow, Rotating Plasmas, Toroidal Plasmas, Current Density, Gas Pressure, Magnetic Flux, Magnetohydrodynamic Stability, Neutral Beams, Partial Differential Equations

Scientific paper

The problem of stationary MHD flow for a rotating toroidal plasma is investigated by assuming that the entropy is a surface quantity. Then, the system of ideal MHD equations is reduced to a single second-order elliptic partial differential equation known as the modified Grad-Shafranov (or Maschke-Perrin) equation. Under the assumption that both the function, Ps and f2 are quadratic polynomials of the flux function, a class of semi-analytical solutions is obtained for a plasma contained in a perfectly conducting toroidal boundary with a rectangular cross section. The flux function, poloidal current and the generalized pressure are obtained and discussed for relevant values of the parameters.

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