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arXiv · 1805.11894

Chaotic magnetoconvection in a non-uniformly rotating electroconductive fluids

M. I. Kopp·A. V. Tur·V. V. Yanovsky
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Abstract

We study a new type of magnetoconvection in a nonuniform rotating plasma layer under a constant vertical magnetic field. To describe the weakly nonlinear stage of convection we apply Galerkin-truncated approximation and we obtain the system of equations of Lorentz type. A numerical analysis of these equations shows the presence of chaotic behavior of convective flows. Criteria for the appearance of chaotic motions are found depending on the convection parameters (Rayleigh number $\textrm{Ra}$), magnetic field (Chandrasekhar number $\textrm{Q}$), rotation (Taylor number $\textrm{Ta}$) for the Keplerian angular velocity profile $(\textrm{Ro}=-3/4)$ of the medium.

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M. I. Kopp, A. V. Tur, V. V. Yanovsky. 2018-05-30. Chaotic magnetoconvection in a non-uniformly rotating electroconductive fluids. https://doi.org/10.1134/s106377611812018x

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