publication . Article . Preprint . 2010

an analytic interface dynamo over a shear layer of finite depth

Petrovay, K.; Kerekes, A.; Erdélyi, R.;
Open Access
  • Published: 09 Jul 2010 Journal: Geophysical & Astrophysical Fluid Dynamics, volume 104, pages 619-630 (issn: 0309-1929, eissn: 1029-0419, Copyright policy)
  • Publisher: Informa UK Limited
Abstract
Parker's analytic Cartesian interface dynamo is generalized to the case of a shear layer of finite thickness and low resistivity ("tachocline"), bounded by a perfect conductor ("radiative zone") on the one side, and by a highly diffusive medium ("convective zone") supporting an $\alpha$-effect on the other side. In the limit of high diffusivity contrast between the shear layer and the diffusive medium, thought to be relevant for the Sun, a pair of exact dispersion relations for the growth rate and frequency of dynamo modes is analytically derived. Graphic solution of the dispersion relations displays a somewhat unexpected, non-monotonic behaviour, the mathematic...
Subjects
arXiv: Astrophysics::Solar and Stellar AstrophysicsPhysics::Space PhysicsPhysics::Fluid Dynamics
free text keywords: Astronomy and Astrophysics, Mechanics of Materials, Geochemistry and Petrology, Geophysics, Computational Mechanics, Radiation zone, Dispersion relation, Tachocline, Finite thickness, Classical mechanics, Dynamo theory, Dynamo, Physics, Solar dynamo, Convection zone, Astrophysics - Solar and Stellar Astrophysics
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publication . Article . Preprint . 2010

an analytic interface dynamo over a shear layer of finite depth

Petrovay, K.; Kerekes, A.; Erdélyi, R.;