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The Effect of Broadband Rotational Velocity Fluctuations on Flows in Spherical Layers

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Abstract

We report the results of a numerical investigation of isothermal axisymmetric flows of a viscous incompressible fluid in rotating spherical layers in the presence of random small-amplitude oscillations of the rotational velocity of the inner sphere about the constant (in time) average value. Two cases are considered: the rotation of the inner sphere only and the corotation of spheres with equal angular velocities. It is established that, in these two cases, the flows respond to perturbations in different ways. Comparison with experiment confirms the possibility of an increase in the average velocity in separate areas of the flow with upon an increase in the amplitude of fluctuations, which has been detected in calculations.

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Funding

This study was supported in part by the Russian Foundation for Basic Research, projects nos. 18-08-00074 and 19-05-00028.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 119192, Moscow, Russia

    D. Yu. Zhilenko & O. E. Krivonosova

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  1. D. Yu. Zhilenko
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  2. O. E. Krivonosova
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Correspondence to D. Yu. Zhilenko.

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The authors declare that they have no conflicts of interest.

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Translated by N. Wadhwa

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Zhilenko, D.Y., Krivonosova, O.E. The Effect of Broadband Rotational Velocity Fluctuations on Flows in Spherical Layers. Tech. Phys. 66, 1330–1337 (2021). https://doi.org/10.1134/S1063784221060232

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  • DOI: https://doi.org/10.1134/S1063784221060232

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