Toroidal vortices in resistive magnetohydrodynamic equilibria

Physics of Fluids

Volumn 9, Issue 4, 1997, Pages 1188-1193

  Montgomery, David ^a   Bates, Jason W ^a   Li, Shuojun ^a  

^a Lamont Doherty Earth Observatory   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012650223     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869206     Document Type: Article

References (6)

1. J. A. Shercliff, A Textbook of Magnetohydrodynamics (Pergamon, Oxford, 1965).
2. 2/s, respectively. A viscous Lundquist number M of about 0.1 seems aftainable in a toroid of major radius about 10 cm, minor radius about 1 cm, at a current of about 1/3 amp. Higher currents will results in dramatically higher velocities, but will invalidate the assumption of low M which has made the problem analytically soluble. These higher velocities would be easier to achieve in a more highly conducting liquid such as mercury, and seeking them there first might be an experimentally justifiable quest, while awaiting an analytical solution for them.
3. V. I. Blinov and A. F. Kolesnichenko, Magn. Gidrodin. 25, 123 (1989). [English translation: "Magnetohydrodynamic flow with a polydisperse coagulating material." Magnetohydrodynamics 25, 114 (1989)], and references therein.
4. V. I. Blinov and A. F. Kolesnichenko, Magn. Gidrodin. 25, 123 (1989). [English translation: "Magnetohydrodynamic flow with a polydisperse coagulating material." Magnetohydrodynamics 25, 114 (1989)], and references therein.
5. D. Montgomery and X. Shan, "Toroidal resistive MHD equilibria." Comments Plasma Phys. Controlled Fusion 15, 315 (1994).
6. For a treatment of the zero-flow situation with an emphasis on the plasma case, see D. Montgomery, J. W. Bates, and M. R. Lewis, "Resistive magnetohydrodynamic equilibria in a torus," to appear in Phys. Plasmas. Phys. Fluids 9 (4), April 1997