Abstract
Unsteady axially symmetric flows of a viscous incompressible liquid in a spherical layer, which are formed by modulation of the rotation rate of one of the spherical boundaries, are considered. The wave structures of such flows are investigated by the method based on determination of the instantaneous difference in phases between the sphere velocity and the azimuthal velocity at each flow point. The steady-state character of the distribution of the instantaneous phase difference in the meridional plane of flows is established. The possibility of applying the method at very low vibrational amplitudes is shown.
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