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Title:
Nonlinear states of the screw dynamo
Authors:
Dobler, Wolfgang; Shukurov, Anvar; Brandenburg, Axel
Affiliation:
AA(Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, United Kingdom), AB(Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, United Kingdom), AC(Department of Mathematics, University of Newcastle, Newcastle upon Tyne, NE1 7RU, United Kingdom)
Publication:
Physical Review E, vol. 65, Issue 3, id. 036311 (PhRvE Homepage)
Publication Date:
03/2002
Origin:
APS
PACS Keywords:
Generation of magnetic fields, magnets, Magnetohydrodynamics and plasmas, Jets outflows and bipolar flows
DOI:
10.1103/PhysRevE.65.036311
Bibliographic Code:
2002PhRvE..65c6311D

Abstract

The self-excitation of magnetic field by a spiral Couette flow between two coaxial cylinders is considered. We solve numerically the fully nonlinear, three-dimensional magnetohydrodynamic (MHD) equations for magnetic Prandtl numbers Pm (ratio of kinematic viscosity to magnetic diffusivity) between 0.14 and 10 and kinematic and magnetic Reynolds numbers up to about 2000. In the initial stage of exponential field growth (kinematic dynamo regime), we find that the dynamo switches from one distinct regime to another as the radial width δrB of the magnetic field distribution becomes smaller than the separation of the field maximum from the flow boundary. The saturation of magnetic field growth is due to a reduction in the velocity shear resulting mainly from the azimuthally and axially averaged part of the Lorentz force, which agrees with an asymptotic result for the limit of Pm<<1. In the parameter regime considered, the magnetic energy decreases with kinematic Reynolds number as Re-0.84, which is approximately as predicted by the nonlinear asymptotic theory (~Re-1). However, when the velocity field is maintained by a volume force (rather than by viscous stress) the dependence of magnetic energy on the kinematic Reynolds number is much weaker.
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