The stabilizing role of differential rotation on hydromagnetic waves

DOI10.1017/S002211208300035XzbMath0522.76043OpenAlexW1988414716MaRDI QIDQ3673330

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/s002211208300035x

zbMATH Keywords

differential rotationcylindrical polar coordinateselectrically conductingdynamo actiongeomagnetic secular variationcritical layer contains turning pointearth's fluid coreeighth-order system of ordinary differential equationsinfinite parallel plates have temperature differenceratio of thermal to magnetic diffusivities is zerostability of rapidly rotating fluids

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 (9)

Dynamically consistent magnetic fields produced by differential rotation ⋮ Future of geodynamo theory ⋮ Thermal and magnetically driven instabilities in a non-constantly stratified fluid layer ⋮ 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 ⋮ Differential rotation and thermal convection in a rapidly rotating hydromagnetic system ⋮ Numerical methods for the transition to wavy Taylor vortices ⋮ Nonlinear waves in rotating magnetohydrodynamics

Cites Work

• Hydromagnetic wavelike instabilities in a rapidly rotating stratified fluid
• Magnetohydrodynamics of the Earth's Core
• On the hydromagnetic stability of a rotating fluid annulus

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