Nonlinear axisymmetric resistive magnetohydrodynamic equilibria with toroidal flow
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چکیده
منابع مشابه
Nonlinear axisymmetric resistive magnetohydrodynamic equilibria with toroidal flow
The equilibrium of a resistive axisymmetric plasma with purely toroidal flow surrounded by a conductor is investigated within the framework of the nonlinear magnetohydrodynamic theory. It is proved that a) the poloidal current density vanishes and b) apart from an idealized case the pressure profile should vanish on the plasma boundary. For the cases of isothermal magnetic surfaces, isentropic ...
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It is shown that the magnetohydrodynamic equilibrium states of an axisymmetric toroidal plasma with finite resistivity and flows parallel to the magnetic field are governed by a second-order partial differential equation for the poloidal magnetic flux function ψ coupled with a Bernoulli type equation for the plasma density (which are identical in form to the corresponding ideal MHD equilibrium ...
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It was recently demonstrated that static, resistive, magnetohydrodynamic equilibria, in the presence of spatially-uniform electrical conductivity, do not exist in a torus under a standard set of assumed symmetries and boundary conditions. The difficulty, which goes away in the “periodic straight cylinder approximation,” is associated with the necessarily non-vanishing character of the curl of t...
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A necessary condition for existence of general dissipative magnetohydrodynamic equilibria is derived. The ingredients of the derivation are Ohm’s law and the existence of magnetic surfaces, only in the sense of KAM theorem. All other equations describing the system matter exclusively for the evaluation of the condition in a concrete case. PACS: 52.30.-q , 47.20.-k , 47.65.+a
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ژورنال
عنوان ژورنال: Journal of Plasma Physics
سال: 1998
ISSN: 0022-3778,1469-7807
DOI: 10.1017/s0022377897006338