Quasi-geostrophic motions in a rotating layer of an electrically conducting fluid

Kholodova, S. E.

doi:10.1007/s10808-009-0004-3

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…Electrically conductive ideal fluid of a variable depth was considered in Ref. [94]. Magnetic, Archimedean and Coriolis forces were involved.…”

Section: Vortex Motion Of Conducting Ideal Liquids In the Presence Of...mentioning

confidence: 99%

“…Similar to that in Ref. [94], assumptions were made about the same order of Rossby numbers and about the approximate constancy of the inclination of the surface bounding the layer from above. Then, it was possible to obtain an exact solution to the system of corresponding nonlinear equations and the dispersion relation.…”

Section: Vortex Motion Of Conducting Viscous Fluids In the Presence O...mentioning

confidence: 99%

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Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Gurchenkov,

Matveev

2024

Physics

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Since the middle of the 20th century, an understanding of the diversity of the natural magnetohydrodynamic phenomena surrounding us has begun to emerge. Magnetohydrodynamic nature manifests itself in such seemingly heterogeneous processes as the flow of water in the world’s oceans, the movements of Earth’s liquid core, the dynamics of the solar magnetosphere and galactic electromagnetic fields. Their close relationship and multifaceted influence on human life are becoming more and more clearly revealed. The study of these phenomena requires the development of theory both fundamental and analytical, unifying a wide range of phenomena, and specialized areas that describe specific processes. The theory of translational fluid motion is well developed, but for most natural phenomena, this condition leads to a rather limited model. The fluid motion in the cavity of a rotating body such that the Coriolis forces are significant has been studied much less. A distinctive feature of the problems under consideration is their significant nonlinearity, (i.e., the absence of a linear approximation that allows one to obtain nontrivial useful results). From this point of view, the studies presented here were selected. This review presents studies on the movements of ideal and viscous fluids without taking into account electromagnetic phenomena (non-conducting, non-magnetic fluid) and while taking them into account (conducting fluid). Much attention is payed to the macroscopic movements of sea water (conducting liquid) located in Earth’s magnetic field, which spawns electric currents and, as a result, an induced magnetic field. Exploring the processes of generating magnetic fields in the moving turbulent flows of conducting fluid in the frame of dynamic systems with distributed parameters allows better understanding of the origin of cosmic magnetic fields (those of planets, stars, and galaxies). Various approaches are presented for rotational and librational movements. In particular, an analytical solution of three-dimensional unsteady magnetohydrodynamic equations for problems in a plane-parallel configuration is presented.

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“…Electrically conductive ideal fluid of a variable depth was considered in Ref. [94]. Magnetic, Archimedean and Coriolis forces were involved.…”

Section: Vortex Motion Of Conducting Ideal Liquids In the Presence Of...mentioning

confidence: 99%

Section: Vortex Motion Of Conducting Viscous Fluids In the Presence O...mentioning

confidence: 99%

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Gurchenkov,

Matveev

2024

Physics

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Dynamic Processes at the Boundary of the Earth's Liquid Core

Peregudin,

Kholodova

2024

Springer Proceedings in Earth and Environmental Sciences

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The effect of density turbulent diffusion intensity on magnetohydrodynamic wave processes in a spherical layer of electrically conducting liquid

Peregudin¹,

Peregudina²,

Kholodova

2019

J. Phys.: Conf. Ser.

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The paper considers large-scale 3D wave motion of weakly compressible and perfectly conducting inhomogeneous inviscid liquid subject to a magnetic field and the Coriolis force, with due account the spherical topography of bounding surfaces. The results of the studies can be used in geophysics and astrophysics, and in particular, in the study of dynamical processes occurring in the Earth liquid core and in stellar interiors. Moreover, they can be also employed in evaluation of magnetohydrodynamic characteristics of a liquid medium and for estimation of the parameters of the wave disturbance in the electromagnetic field induced by the corresponding hydrodynamic excitement. In addition, the above results can be used in the study of magnetohydrodynamic processes in engineering devices and in the study of foreground energy materials.

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Quasi-geostrophic motions in a rotating layer of an electrically conducting fluid

Cited by 5 publications

References 13 publications

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Dynamics of Fluids in the Cavity of a Rotating Body: A Review of Analytical Solutions

Dynamic Processes at the Boundary of the Earth's Liquid Core

The effect of density turbulent diffusion intensity on magnetohydrodynamic wave processes in a spherical layer of electrically conducting liquid

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