Physics of Magnetohydrodynamic Phenomena

Kirko, I. M.

doi:10.1007/978-1-4899-4911-0_2

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“…The theory of Earth's magnetic field created by a thermoelectric current flowing in Earth's core by the Nernst effect was developed by Hibberd [22]. In the work of Kirko [23] was proposed a physical mechanism for the occurrence of the dipole component of Earth's magnetic field by analogy with the phenomena of generation and self-excitation of a magnetic field in a fluid metal circulating in the first loop of a fast neutron reactor [24]. Here the explanation is based on the combined use of the ideas of thermoelectromagnetic hydrodynamics (TEMHD) developed by Sherkliffe [25] and the electrodynamics of mean fields [6].…”

Section: Introductionmentioning

confidence: 99%

Generation of magnetic fields by thermomagnetic effects in a nonuniformly rotating layer of an electrically conductive fluid

Kopp¹,

Kulik²,

Тур³

et al. 2021

Preprint

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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 ∇T 0 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 B 0 OZ is established. As a result of applying the method of perturbation theory for the small parameter ǫ = (Ra − Ra c )/Ra c of supercriticality of the stationary Rayleigh number Ra c 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.

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Section: Introductionmentioning

confidence: 99%