Some Analytical Solutions to Steady-state Axisymmetric Magnetohydrodynamics Equations with Flow

Physics – Plasma Physics

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High-speed plasma jets and cosmic wind are common phenomena in the universe. In fusion experiments, when a lot of external energies are used to heat the plasma, plasma motion, such as rotation and flow along the magnetic fields, have been observed routinely. These diverse phenomena are believed to be described by the magnetrohydrodynamics (MHD) equations. With assumptions of steady-state and axisymmetry, the MHD equations reduce to the generalized Grad-Shafranov (or Grad-Schluter-Shafranov) (G2S/G2S2) equations with flow. We have solved the G2S/G2S2 under various assumptions. Implication of the solutions to spheromak and magneto-plama-dynamic (MPD) acceleration are discussed.

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