Accepted Talks Proceedings »

STEWARTSON LAYER INSTABILITY IN THE PROBLEM OF THE VIBRATIONAL HYDRODYNAMIC TOP

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The flows are studied experimentally, which are excited at differential rotation of a free light spherical body centrifuged in a cavity rotating around horizontal axis and filled with viscous liquid. The differential rotation is excited by an external force field rotating in the cavity frame (vibrational hydrodynamic top [1]). At weak differential rotation the flow has the shape of the Taylor–Proudman column of a circular cross-section. The occurrence of the column instability is found at increase of the differential rotation speed of the sphere, when a non-axisymmetric azimuthal flow develops. The comparison is done of the st ability thresholds of the axisymmetric flow with the classic case, when the sphere rotation axis is fixed on the cavity rotation axis. The instability development thresholds are different by one order of magnitude. The conclusion is done that in case of the vibrational hydrodynamic top a new type of the Stewartson layer instability is found.

Author(s):

Viktor Kozlov    
Perm State Humanitarian-Pedagogical University
Russian Federation

Nikolai Kozlov    
Perm State Humanitarian-Pedagogical University
Russian Federation

Stanislav Subbotin    
Perm State Humanitarian-Pedagogical University
Russian Federation