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Title: Resistive and ferritic-wall plasma dynamos in a sphere

Abstract

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.

Authors:
; ; ; ; ; ;  [1];  [2]
  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)
Publication Date:
OSTI Identifier:
22068862
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 19; Journal Issue: 10; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Khalzov, I V, Brown, B P, Kaplan, E J, Katz, N, Paz-Soldan, C, Rahbarnia, K, Forest, C B, Center for Magnetic Self Organization in Laboratory and Astrophysical Plasmas, Spence, E J, and Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543. Resistive and ferritic-wall plasma dynamos in a sphere. United States: N. p., 2012. Web. doi:10.1063/1.4757219.
Khalzov, I V, Brown, B P, Kaplan, E J, Katz, N, Paz-Soldan, C, Rahbarnia, K, Forest, C B, Center for Magnetic Self Organization in Laboratory and Astrophysical Plasmas, Spence, E J, & Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543. Resistive and ferritic-wall plasma dynamos in a sphere. United States. https://doi.org/10.1063/1.4757219
Khalzov, I V, Brown, B P, Kaplan, E J, Katz, N, Paz-Soldan, C, Rahbarnia, K, Forest, C B, Center for Magnetic Self Organization in Laboratory and Astrophysical Plasmas, Spence, E J, and Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543. 2012. "Resistive and ferritic-wall plasma dynamos in a sphere". United States. https://doi.org/10.1063/1.4757219.
@article{osti_22068862,
title = {Resistive and ferritic-wall plasma dynamos in a sphere},
author = {Khalzov, I V and Brown, B P and Kaplan, E J and Katz, N and Paz-Soldan, C and Rahbarnia, K and Forest, C B and Center for Magnetic Self Organization in Laboratory and Astrophysical Plasmas and Spence, E J and Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543},
abstractNote = {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.},
doi = {10.1063/1.4757219},
url = {https://www.osti.gov/biblio/22068862}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 10,
volume = 19,
place = {United States},
year = {Mon Oct 15 00:00:00 EDT 2012},
month = {Mon Oct 15 00:00:00 EDT 2012}
}