Enhancement of waves at rotational oscillations of a liquid

Zhilenko, D. Yu.; Krivonosova, O. E.

doi:10.1134/s0021364016200133

Cited by 6 publications

(2 citation statements)

References 14 publications

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“…This difference from white noise is probably caused by the faster decay rate of the high-frequency part of the velocity fluctuations compared to that of the low-frequency ones, where the decay increases with the distance from the noise source. The phenomenon of faster damping of oscillations at high frequencies compared to low frequencies is known, for example, from [47].…”

Section: Methodsmentioning

confidence: 99%

Noise induced effects in the axisymmetric spherical Couette flow

Krivonosova

Gritsevich

Zhilenko

et al. 2023

Phil. Trans. R. Soc. A.

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We study the axisymmetric, wide gap, spherical Couette flow in the presence of noise in numerical simulations and experiments. Such studies are important because most of the flows in nature are subjected to random fluctuations. Noise is introduced into the flow by adding fluctuations to the inner sphere rotation which are random in time with zero mean. Flows of a viscous incompressible fluid are induced either by rotation of the inner sphere only or by the co-rotation of the spheres. Mean flow generation was found to occur under the action of additive noise. A higher relative amplification of meridional kinetic energy compared to the azimuthal component was also observed under certain conditions. Calculated flow velocities were validated by laser Doppler anemometer measurements. A model is proposed to elucidate the rapid growth of meridional kinetic energy for flows induced by varying the co-rotation of the spheres. Our linear stability analysis for flows induced by the rotation of the inner sphere revealed a decrease in the critical Reynolds number, corresponding to the onset of the first instability. Also, in this case, a local minimum of the mean flow generation on approaching the critical Reynolds number was observed, which is consistent with the available theoretical predictions. This article is part of the theme issue ‘Taylor–Couette and related flows on the centennial of Taylor’s seminal Philosophical Transactions paper (part 2)’.

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Section: Methodsmentioning

confidence: 99%

Noise induced effects in the axisymmetric spherical Couette flow

Krivonosova

Gritsevich

Zhilenko

et al. 2023

Phil. Trans. R. Soc. A.

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“…The influence of Coriolis forces of inertia on the dynamics of viscous incompressible fluid increases significantly with increasing oscillatory Reynolds numbers [3][4][5][6][7][8][9]. Nonlinear effects can destabilize the Couette flow in the layers between rotating spheres [10][11][12][13][14], but this is true when their angular velocities are significantly different. The aim of this work is to simulate the centering effect of a spherical hydrodynamic suspension based on the asymptotic integration of the reduced Navier-Stokes equations for the isothermal flow of a viscous incompressible fluid in a rotating support layer.…”

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confidence: 99%

Modeling the effect of centering of a spherical hydrodynamic suspension

Andreichenko¹,

Andreichenko²,

Melnicnuk³

2020

Tomsk State University Journal of Control and Computer Science

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Based on the methods of asymptotic integration in the case when the decentering force is orthogonal to the sensitivity axis, the fast centering of the spherical hydrodynamic suspension at large values of the oscillatory Reynolds number is shown. It is shown that, up to the constant factor, the asymptotics of the dependence of the relative eccentricity on the oscillatory Reynolds number is similar to the results obtained earlier for cylindrical hydrodynamic suspension.

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