Abstract
In this 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,P s andf 2 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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Khater, A.H., El Sheikh, M.G. & Callebaut, D.K. A class of semi-analytical solutions for a rotating toroidal plasma. Astrophys Space Sci 145, 277–286 (1988). https://doi.org/10.1007/BF00642104
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DOI: https://doi.org/10.1007/BF00642104