Coupled frequencies of a liquid in a circular cylindrical container with elastic liquid surface cover

Bauer, Helmut F.

doi:10.1006/jsvi.1995.0109

Cited by 73 publications

(42 citation statements)

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“…Similar investigations have been performed for rectangular containers with an elastic liquid surface cover (Bauer 1981). Recently, the coupled frequencies of a circular cylindrical container with an elastic cover and "lled with inviscid liquid has been determined by Bauer (1995). For annular liquid systems under zero-gravity conditions the coupled frequencies have also been determined (Bauer 1987).…”

Section: Introductionmentioning

confidence: 92%

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Hydroelastic Viscous Oscillations in a Circular Cylindrical Container With an Elastic Cover

Bauer

Chiba

2000

Journal of Fluids and Structures

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Section: Introductionmentioning

confidence: 92%

“…and are presented in the form of a table for n"1, 2, 2 and m"0, 1, 2, 2 in Bauer (1995). For a simply supported plate, KL is obtained from the expression…”

mentioning

confidence: 99%

Hydroelastic Viscous Oscillations in a Circular Cylindrical Container With an Elastic Cover

Bauer

Chiba

2000

Journal of Fluids and Structures

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“…Therefore, the characterization of the amplitude of the waves and the exploration of mechanisms capable of damping sloshing is of critical importance. To damp sloshing, various methods have been considered including the use of elastic membranes attached to the top of a container, [11][12][13] or baffles placed in a container. 14,15 The use of containers with elastic walls was also considered.…”

Section: Introductionmentioning

confidence: 99%

Damping of liquid sloshing by foams

et al. 2015

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When a container is set in motion, the free surface of the liquid starts to oscillate or slosh. Such effects can be observed when a glass of water is handled carelessly and the fluid sloshes or even spills over the rims of the container. However, beer does not slosh as readily as water, which suggests that foam could be used to damp sloshing. In this work, we study experimentally the effect on sloshing of a liquid foam placed on top of a liquid bath. We generate a monodisperse two-dimensional liquid foam in a rectangular container and track the motion of the foam. The influence of the foam on the sloshing dynamics is experimentally characterized: only a few layers of bubbles are sufficient to significantly damp the oscillations. We rationalize our experimental findings with a model that describes the foam contribution to the damping coefficient through viscous dissipation on the walls of the container. Then we extend our study to confined three-dimensional liquid foam and observe that the behavior of 2D and confined 3D systems are very similar. Thus we conclude that only the bubbles close to the walls have a significant impact on the dissipation of energy. The possibility to damp liquid sloshing using foam is promising in numerous industrial applications such as the transport of liquefied gas in tankers or for propellants in rocket engines.

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“…Bauer [1995] considered the coupled frequencies of a liquid in a circular cylindrical container with an elastic liquid surface cover; for this an analytic method is employed considering the deformation equation of the membrane in which the pressure force is obtained through the velocity potential using Bernouilli's linearized equation. Chiba et al .…”

Section: Introductionmentioning

confidence: 99%

Acoustic Influence on the Vibration of a Cylindrical Membrane Drum Filled with a Compressible Fluid

Gascón-Pérez

2017

Int. J. Appl. Mechanics

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Received RevisedT he study of the dynamic behaviour of a membrane in contact with a fluid is interesting due to the numerous applications in technology. The vibro-acoustic behaviour of a circular membrane in a cylindrical container or a membrane drum filled with a non-viscous fluid is analyzed . A boundary element method is used and the acoustic pressure over the boundary is calculated employing the Kirchhoff`s integral equation and that with the equation of motion of the membrane, the natural frequencies of vibration are obtained. Furthermore the effect of the drum height, drum radius, membrane material density, tension parameter and fluid density on the frequencies are evaluated, as well as the variation of the fluid mass coefficient with the wave number. Validation of the method is made comparing the results with those obtained by other authors and theories.

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Coupled frequencies of a liquid in a circular cylindrical container with elastic liquid surface cover

Cited by 73 publications

References 0 publications

Hydroelastic Viscous Oscillations in a Circular Cylindrical Container With an Elastic Cover

Hydroelastic Viscous Oscillations in a Circular Cylindrical Container With an Elastic Cover

Damping of liquid sloshing by foams

Acoustic Influence on the Vibration of a Cylindrical Membrane Drum Filled with a Compressible Fluid

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