Vibrational dynamics of a light spherical body in a rotating cylinder filled with a fluid

Ivanova, A. A.; Kozlov, Nikolai; Subbotin, S. V.

doi:10.1134/s0015462812060014

Cited by 6 publications

(5 citation statements)

References 13 publications

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“…The sphere dynamics under vibration depends on the parameter . The area of intense outstripping rotation (Δ > 0) is characterized by a significant shift of the sphere out of the cavity center (the horizontal case) [5]. The displacement can occur towards any end wall.…”

Section: Resultsmentioning

confidence: 99%

“…All experiments were conducted in the resonance areas where the frequency of vibrations coincides with one of the natural frequencies of the sphere and the differential rotation Δ (outstripping or lagging) being large [5]. For chosen system, the resonant frequencies of outstripping and lagging rotation are = 2.0 and = 0.8, respectively.…”

Section: Experimental Setup and Techniquesmentioning

confidence: 99%

“…The purpose of this work is to continue the research of the "vibrational hydrodynamic top, " especially the effect of the sphere positioning at some distance from the end walls of the rotating horizontal cylinder [5]. The essence of the effect consists in the next, with increase of the speed of differential rotation that occurs under vibrations; the symmetrical sphere position relative to the cavity ends becomes unstable.…”

Section: Introductionmentioning

confidence: 99%

“…If the top has a spherical shape [5], the vibrations result in excitation of its differential rotation and positioning on the rotational axis. The positioning of bodies is an actual problem, particularly under the microgravity conditions.…”

Section: Introductionmentioning

confidence: 99%

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Vibrational Suspension of Light Sphere in a Tilted Rotating Cylinder with Liquid

Козлов

Subbotin

2014

Advances in Acoustics and Vibration

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The dynamics of a light sphere in a quickly rotating inclined cylinder filled with liquid under transversal vibrations is experimentally investigated. Due to inertial oscillations of the sphere relative to the cavity, its rotation velocity differs from the cavity one. The intensification of the lagging motion of a sphere and the excitation of the outstripping differential rotation are possible under vibrations. It occurs in the resonant areas where the frequency of vibrations coincides with the fundamental frequency of the system. The position of the sphere in the center of the cylinder could be unstable. Different velocities of the sphere are matched with its various quasistationary positions on the axis of rotating cavity. In tilted rotating cylinder, the axial component of the gravity force appears; however, the light sphere does not float to the upper end wall but gets the stable position at a definite distance from it. It makes possible to provide a vibrational suspension of the light sphere in filled with liquid cavity rotating around the vertical axis. It is found that in the wide range of the cavity inclination angles the sphere position is determined by the dimensionless velocity of body differential rotation.

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Section: Resultsmentioning

confidence: 99%

Section: Experimental Setup and Techniquesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Vibrational Suspension of Light Sphere in a Tilted Rotating Cylinder with Liquid

Козлов

Subbotin

2014

Advances in Acoustics and Vibration

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“…In this case, the movement of the liquid in the form of Taylor -Proudman columns is generated even in the absence of longitudinal movement of the body; which has a significant impact on the dynamics of the body. It was shown in [6,7] that the differential rotation of a light free body in a rotating cavity can be caused by its oscillations. The generation of an intense lagging or advancing differential rotation of the body is possible when the frequency of the vibration coincides with one of the natural frequencies of the inertial circular oscillations of the sphere in the rotating system, as a result of which a resonant increase in the amplitude of its oscillations occurs.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of light sphere motion in liquid in rotating tilted cylinder

Zvyagintseva

Kudymova

Romanets

et al. 2022

J. Phys.: Conf. Ser.

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The motion of a light spherical body in a rotating tilted cylindrical cavity with liquid is studied experimentally. The rotation rate and angle of inclination of the cuvette, the viscosity of the liquid and the characteristics of the body vary. It is shown that with an increase in the rate of the cell rotation, the velocity of the body’s ascent decreases. An increase in the angle of inclination of the cylinder relative to the vertical also leads to a decrease in the ascent rate of the body. A paradoxical behaviour of the body is demonstrated: with an increase in the viscosity of the liquid, the velocity of the body’s ascent increases while maintaining other parameters (rotation rate, size, density of the body and the angle of inclination). The results of investigations at various angles of inclination, properties of liquid and the body are generalized on the plane of two control dimensionless parameters. Comparison with theory and with experimental results of other authors in the case of vertical orientation of the cavity demonstrates good agreement. It was found that during ascent, the body performs differential rotation relative to the cavity, the rate of which depends on the axial coordinate of the body.

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The effect of oscillating force field on the dynamics of free inner core in a rotating fluid-filled spherical cavity

2015

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This research involves experimental studies of the dynamics of a free spherical core in a fluid-filled spherical cavity rotating around the horizontal axis and subject to vibration perpendicular to the rotation axis. The core stays in the center of the cavity under the action of a centrifugal force (the core density is less than the fluid density). The vibration manifests itself in resonance regions when the vibration frequency coincides with one of the core’s natural frequencies. The amplitude of the core oscillations and generation of its intensive differential rotation rise steeply, with the differential rotation lagging or leading, depending on the frequency of the core oscillations. Excitation of leading rotation is accompanied by the core shift from the cavity center to one of the poles with the core rotation axis deviated from the cavity rotation axis. The research shows that the superposition of different force fields, oscillating vibrational field, and static gravitational force field determines the differential rotation rate of the core. The gravity field causes the lagging circular oscillations of the core with respect to the cavity, and consequently its steady lagging differential rotation, which decreases as the cavity rotation rate increases. The research shows that 2D steady flow in the form of a Taylor-Proudman column accompanies the differential rotation of the core. The resulting flow is a linear superposition of flows excited independently by gravity and vibration. The instability of the flow manifests itself, as an azimuthal two-dimensional wave is propagating on the Taylor-Proudman column boundary, and depends on the flow structure.

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Vibrational dynamics of a light spherical body in a rotating cylinder filled with a fluid

Cited by 6 publications

References 13 publications

Vibrational Suspension of Light Sphere in a Tilted Rotating Cylinder with Liquid

Vibrational Suspension of Light Sphere in a Tilted Rotating Cylinder with Liquid

Experimental study of light sphere motion in liquid in rotating tilted cylinder

The effect of oscillating force field on the dynamics of free inner core in a rotating fluid-filled spherical cavity

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