Resistive and ferritic-wall plasma dynamos in a sphere

Journal Article · Mon Oct 15 00:00:00 EDT 2012 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4757219· OSTI ID:22068862

Khalzov, I V; Brown, B P; Kaplan, E J; Katz, N; Paz-Soldan, C; Rahbarnia, K; Forest, C B ^[1]; Spence, E J ^[2]

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1. University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706 (United States)
2. Center for Magnetic Self Organization in Laboratory and Astrophysical Plasmas (United States)

We numerically study the effects of varying electric conductivity and magnetic permeability of the bounding wall on a kinematic dynamo in a sphere for parameters relevant to Madison plasma dynamo experiment. The dynamo is excited by a laminar, axisymmetric flow of von Karman type. The flow is obtained as a solution to the Navier-Stokes equation for an isothermal fluid with a velocity profile specified at the sphere's boundary. The properties of the wall are taken into account as thin-wall boundary conditions imposed on the magnetic field. It is found that an increase in the permeability of the wall reduces the critical magnetic Reynolds number Rm{sub cr}. An increase in the conductivity of the wall leaves Rm{sub cr} unaffected but reduces the dynamo growth rate.

• OSTI ID: 22068862
• Journal Information: Physics of Plasmas, Vol. 19, Issue 10; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
AXIAL SYMMETRY
BOUNDARY CONDITIONS
FERRITIC STEELS
MAGNETIC FIELDS
MAGNETIC REYNOLDS NUMBER
MAGNETIC SUSCEPTIBILITY
MAGNETOHYDRODYNAMICS
MATHEMATICAL SOLUTIONS
NAVIER-STOKES EQUATIONS
PLASMA
SPHERES
WALL EFFECTS
WALLS