Hydromagnetic waves in a differentially rotating sphere

DOI10.1017/S0022112083000348zbMath0522.76042OpenAlexW2131218601MaRDI QIDQ3673329

M. R. E. Proctor, David R. Fearn

Publication date: 1983

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112083000348

zbMATH Keywords

critical Rayleigh numberpolar coordinatesdifferential rotationdynamo theorymagnetic Reynolds numbersmall Ekman numberearth's magnetic fieldeffect of shear flowelectrically conducting, self- gravitating fluidelectrically-insulating spherical containerfour coupled partial differential equationsgeomagnetic secular variation phenomenonperturbations of basic state of magnetic, velocity and temperature fieldssmall diffusivity ratio

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Basic methods in fluid mechanics (76M99) Stability and instability of geophysical and astrophysical flows (76E20) Geo-electricity and geomagnetism (86A25) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (16)

Hydromagnetic waves in a differentially rotating annulus. II. Resistive instabilities ⋮ Hydromagnetic waves in a differentially rotating, stratified spherical shell ⋮ Dynamically consistent magnetic fields produced by differential rotation ⋮ Hydromagnetic waves in the Earth's fluid core ⋮ Confinement of rotating convection by a laterally varying magnetic field ⋮ Convection-driven hydromagnetic waves in planetary fluid cores. ⋮ Hydromagnetic waves in a differentially rotating annulus IV. Insulating boundaries ⋮ Future of geodynamo theory ⋮ Conditions for instability for hydromagnetic waves in a contained rotating stratified fluid ⋮ Local analysis of thermal and magnetic instabilities in a rapidly rotating fluid ⋮ Hydromagnetic waves in a differentially rotating Annulus I. A test of local stability analysis ⋮ Classification of magnetic instabilities ⋮ Eigensolutions of boundary value problems using inverse iteration ⋮ Hydromagnetic waves in a differentially rotating annulus III. The effect of an axial field ⋮ Differential rotation and thermal convection in a rapidly rotating hydromagnetic system ⋮ Nonlinear waves in rotating magnetohydrodynamics

Cites Work

• Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid
• Numerical models of hydromagnetic dynamos
• Overstable hydromagnetic convection in a rotating fluid layer
• Hydromagnetic planetary waves

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