Inertial wave motions in the layer of a floating viscous incompressible fluid filling the cavity of a rapidly rotating
circular cylinder have been studied. The wave is represented as a superposition of six non-uniformly scaled helical
harmonics. The influence has been analyzed of the floating layer density, the liquid layer viscosity and thickness,
as well as the ratio of the wave frequency to the angular velocity of the cylinder's rotation on the real and imaginary
parts of the wave number of propagating modes.
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