Viscous oscillations in a circular cylindrical tank with elastic surface cover

Bauer, Helmut F.; Chiba, Masakatsu

doi:10.1016/j.jsv.2007.01.045

Cited by 18 publications

(19 citation statements)

References 28 publications

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“…The results from the current method for the case of no elastic cover are in excellent agreement with extensive experimental results of Howell et al [8]. However, there is a large discrepancy between the present results and those in [1] and [3].…”

Section: Introductionsupporting

confidence: 90%

“…This is a difficult problem as the interaction of the fluid and tank structure has to be taken into account. Some of these studies have focused on the fluid interaction with the elastic cylinder wall (see references in [1]) while others have investigated the effects of an elastic bottom (see references in [1]). Meanwhile various devices like liquid or movable surface devices (floating lids/mats, floating cans) and fixed baffles have been employed to suppress slosh and move the coupled frequencies away from the control [2].…”

Section: Introductionmentioning

confidence: 99%

“…For instance, the recent paper [1] presents a method that works only for large liquid depths, ignoring as it does the no-slip condition on the bottom wall. Bauer and Chiba [3] present another method for the same problem; however, the applicability in this case is only to small liquid depths.…”

Section: Introductionmentioning

confidence: 99%

“…In all these studies, real eigenfunctions are used to represent the velocity and pressure fields and these representations do not turn out to be rich enough to satisfy all boundary conditions. Indeed, Bauer and Chiba [1] write 'The analytical approaches of shallow and large-aspect-ratio containers cannot, due to the different analytical procedures, yield an acceptable transition region h/a'.…”

Section: Introductionmentioning

confidence: 99%

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Viscous oscillations in a circular cylinder with an elastic cover on the free surface

Kidambi

2009

J Eng Math

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The effects of an elastic membrane on the viscous oscillations of liquid filling a circular cylindrical container are studied by using the natural viscous complex eigenfunctions of the problem. The free surface of the liquid is assumed to be fully covered by the membrane. By projecting the governing equations onto an appropriate basis, a nonlinear eigenvalue problem for the complex frequencies is obtained. This is then solved to obtain the modal frequencies as a function of the Reynolds number Re, the tension parameter τ, the mass parameter ζ and the liquid depth h. The zero velocity conditions on both the side and bottom walls are satisfied unlike in earlier studies where either only the sidewall or only the bottom wall conditions were met. Results are presented for the four lowest non-axisymmetric modes as a function of Re, h, τ and ζ. The elastic cover increases the slosh frequencies but only in comparison with an uncovered free surface with a contact line that is free to move; the frequencies are lower when compared with those of a free surface with pinned contact line. There are ranges of Re, h, τ and ζ for which the oscillations are overdamped and the sloshing is aperiodic. Though the frequencies and damping rates decrease for an increasing mass of the elastic cover, there exist ranges of Re, h and τ for which the heavier cover produces higher slosh frequencies.

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Section: Introductionsupporting

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Viscous oscillations in a circular cylinder with an elastic cover on the free surface

Kidambi

2009

J Eng Math

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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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Investigation of modal properties and layout of elastomer diaphragm tanks in telecommunication satellite

Sabaghzadeh

Shafaee

2020

Microsyst Technol

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Viscous oscillations in a circular cylindrical tank with elastic surface cover

Cited by 18 publications

References 28 publications

Viscous oscillations in a circular cylinder with an elastic cover on the free surface

Viscous oscillations in a circular cylinder with an elastic cover on the free surface

Damping of liquid sloshing by foams

Investigation of modal properties and layout of elastomer diaphragm tanks in telecommunication satellite

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