Azimutal Waves in a Flotating Rotating Viscous Fluid
I. N. Soldatov1,2, N. V. Klyueva1,2
1Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, 603950, Russia
2Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, 603022, Russia
Keywords: floating viscous fluid, azimuthal inertial (gyroscopic) waves in a centrifuge, dispersion equation
Abstract
Azimuthal gyroscopic waves in a floating liquid forming a centrifuged layer on the solid wall of a cylindrical rotor cavity are studied. The exact solution of the linearized hydrodynamic problem with a nonclassical boundary condition on the free surface is obtained. The dispersion equation is derived. The influence of the inertial surface of the liquid on stability of quasi-solid rotation of the centrifuged layer is studied.
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