Magnetohydrodynamically generated velocities in confined plasma
نویسندگان
چکیده
It is shown numerically that both toroidal and poloidal rotational flows are intrinsic to a rigid toroid confining a conducting magnetofluid in which a current is driven by the application of externally-supported electric and magnetic fields. The computation involves no microscopic instabilities or kinetic theory and is purely magnetohydrodynamic (MHD) in nature. The properties and intensity of the rotations are regulated by dimensionless numbers (Lundquist, viscous Lundquist, and Hartmann) that contain the resistivity and viscosity of the magnetofluid. The computation makes use of the recently developed “penalization method” to enforce visco-resistive boundary conditions. The point is not that other more exotic kinetic effects may not also contribute to rotational effects in toroidal laboratory devices, but rather that at the most simple magnetohydrodynamic level (uniform mass density and incompressible magnetofluids), they are not necessary. Rotational flows are an irreducible effect inherent in toroidal, driven MHD by itself, without necessary kinetic complications. ha l-0 08 49 74 2, v er si on 1 31 J ul 2 01 3 Magnetohydrodynamically generated velocities in confined plasma 2
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