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Propagation of fluctuations in the presence of shear layers in viscous incompressible fluid flows with rotation
Zhilenko D. Yu. 1, Krivonosova O.E. 1
1Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia
Email: jilenko@imec.msu.ru, olga@imec.msu.ru

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The propagation of periodic and random-in-time velocity fluctuations in flows formed under the rotation of spherical boundaries has been numerically investigated. Disturbances of all types are introduced into the flow by oscillations or fluctuations in the rotation velocity of the inner sphere. Regions with equal values of damping decrements of the flow velocity pulsations along the radius were found for all types of noise. Spectra of flow velocity pulsations similar to the spectra of turbulent flows have been revealed. At a distance from the inner sphere, the amplitudes of the flow velocity pulsations can either decrease or increase depending on the type of noise spectrum. Keywords: noise, spherical Couette flow.
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