Magnetic Field Effect on Waves in a Centrifuged Layer of a Rotating Conducting Viscous Fluid
N. V. Klueva1, V. M. Sandalov2, M. E. Tkach1, I. N. Soldatov1
1Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Nizhny Novgorod, 603024 Russia
2Lobachevskii Nizhny Novgorod State University, Nizhny Novgorod, 603950 Russia
Keywords: проводящая вязкая жидкость, инерционные волны, вращающееся магнитное поле, conducting viscous fluid, inertial waves, rotating magnetic field
Abstract
This paper considers wave processes in a centrifuged layer of an incompressible viscous conducting fluid in an axial magnetic field in the cavity of a rapidly rotating infinite cylinder with insulating walls. Inertial modes-solutions of the linearized boundary-value problem of magnetohydrodynamics - are represented as a superposition of helical fields. Expressions for the vorticity parameters of the helical flows forming the inertial mode at a small Stewart number are given. Dispersion curves of inertial waves are constructed, and the influence of the magnetic field on the flow field is analyzed. The critical frequencies at which the lowest (surface) mode arises are determined. The spatial and temporal stability of the modes are investigated.
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