2021/04/21 by M. I. Kopp, Kopp, M. I., K. N. Kulik +5
Engineering · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Thermodynamic Systems and Engines #Combustion and flame dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Plasma Physics (physics.plasm-ph) #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.2104.11068
openalex publication_date 2021/04/21 · openalex created_date 2021/04/26 · openalex updated_date 2026/07/28
In this paper, the generation of magnetic fields in a nonuniformly rotating layer of finite thickness of an electrically conducting fluid by thermomagnetic (TM) instability. This instability arises due to the temperature gradient ∇ T0 and thermoelectromotive coefficient gradient ∇α. The influence of the generation of a toroidal magnetic field by TM instability on convective instability in a nonuniformly rotating layer of an electrically conductive fluid in the presence of a vertical constant magnetic field \bfB0 ‖ \rm OZ is established. As a result of applying the method of perturbation theory for the small parameter ε= √ (\textrm Ra-\textrm Rac) / \textrm Rac of supercriticality of the stationary Rayleigh number \textrm Rac a nonlinear equation of the Ginzburg-Landau type was obtained. This equation describes the evolution of the finite amplitude of perturbations. Numerical solutions of this equation made it possible to determine the heat transfer in the fluid layer with and without TM effects. It is shown that the amplitude of the stationary toroidal magnetic field noticeably increases with allowance for TM effects.