Numerical simulation of laminar plasma dynamos in a cylindrical von Karman flow

Journal Article · Tue Mar 15 04:00:00 EDT 2011 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.3559472· OSTI ID:21537270

Khalzov, I V; Brown, B P; Schnack, D D; Forest, C B ^[1]; Ebrahimi, F ^[2]

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1. University of Wisconsin, 1150 University Avenue, Madison, Wisconsin 53706 (United States)
2. University of New Hampshire, 8 College Road, Durham, New Hampshire 03824 (United States)

The results of a numerical study of the magnetic dynamo effect in cylindrical von Karman plasma flow are presented with parameters relevant to the Madison Plasma Couette Experiment. This experiment is designed to investigate a broad class of phenomena in flowing plasmas. In a plasma, the magnetic Prandtl number Pm can be of order unity (i.e., the fluid Reynolds number Re is comparable to the magnetic Reynolds number Rm). This is in contrast to liquid metal experiments, where Pm is small (so, Re>>Rm) and the flows are always turbulent. We explore dynamo action through simulations using the extended magnetohydrodynamic NIMROD code for an isothermal and compressible plasma model. We also study two-fluid effects in simulations by including the Hall term in Ohm's law. We find that the counter-rotating von Karman flow results in sustained dynamo action and the self-generation of magnetic field when the magnetic Reynolds number exceeds a critical value. For the plasma parameters of the experiment, this field saturates at an amplitude corresponding to a new stable equilibrium (a laminar dynamo). We show that compressibility in the plasma results in an increase of the critical magnetic Reynolds number, while inclusion of the Hall term in Ohm's law changes the amplitude of the saturated dynamo field but not the critical value for the onset of dynamo action.

• OSTI ID: 21537270
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 18; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COMPUTERIZED SIMULATION
COUETTE FLOW
DIMENSIONLESS NUMBERS
FLUID FLOW
FLUID MECHANICS
HYDRODYNAMICS
LAMINAR FLOW
MAGNETIC REYNOLDS NUMBER
MAGNETOHYDRODYNAMICS
MECHANICS
PLASMA
PLASMA SIMULATION
PRANDTL NUMBER
REYNOLDS NUMBER
SIMULATION
VISCOUS FLOW