Liquid surface oscillations in longitudinally excited rigid cylindrical containers

Abramson, H. N.; Dodge, F. T.; Kana, D. D.

doi:10.2514/3.2948

Cited by 110 publications

(34 citation statements)

References 6 publications

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“…These "jump" behaviors are similar to the other experimental observations (e.g. Dodge et al [10]). From Figs.…”

Section: Stead-state Amplitude-frequency Responsessupporting

confidence: 91%

“…7 and 8, it can also be found that the left-to-right amplitude gradually decreases with the increase of forcing frequency. This behavior of parametric sloshing is similar to that in the cylindrical tank [10].…”

Section: Stead-state Amplitude-frequency Responsessupporting

confidence: 69%

“…The linear theory of parametric sloshing is capable of determining the stability boundaries of the free surface. The instabilities of (linear) parametric sloshing were fully studied by Benjamin and Ursell [8], Abramson [9], Dodge et al [10], Woodward and Bauer [11], Kumar [12], as well as Li and Wang [13] etc.…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional nonlinear parametric sloshing in the irregular tanks: numerical analysis and experimental investigation

Wang¹,

Wang²,

Li³

2017

J. vibroeng.

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The finite volume and volume of fluid (VOF) methods are used to simulate the two-dimensional nonlinear parametric sloshes in the U-shaped and the circular tanks. An experiment is simultaneously conducted to observe and measure the responses of two-dimensional nonlinear parametric sloshes. The natural frequencies and the nonlinear steady-state amplitude-frequency responses are respectively acquired and compared by numerical and experimental methods. The numerical results have a good agreement with the experimental values. Because the viscous damping is automatically considered in the numerical simulations, the steady-state wave amplitudes of parametric resonance (sloshing) are well predicted. The finite volume and VOF techniques aided by Fluent Code can be a practical tool for the engineers to analyze the long-time nonlinear parametric sloshing in arbitrary-shape tanks.

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“…These "jump" behaviors are similar to the other experimental observations (e.g. Dodge et al [10]). From Figs.…”

Section: Stead-state Amplitude-frequency Responsessupporting

confidence: 91%

Section: Stead-state Amplitude-frequency Responsessupporting

confidence: 69%

See 1 more Smart Citation

Two-dimensional nonlinear parametric sloshing in the irregular tanks: numerical analysis and experimental investigation

Wang¹,

Wang²,

Li³

2017

J. vibroeng.

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“…If the motion starts from rest, then w 0 ¼ 0 and also in view of the small value of 2r 2 g 0 it can be ignored for nonlinear finite-amplitude states. In this case, the free-surface boundary conditions (11) and (12) take the form @g @t ¼ @U @z þ 2r 2 g À rU Á rg (19) @U @t…”

Section: -4 / Vol 137 September 2015mentioning

confidence: 99%

“…The resulting solution is expressed in terms of a double Fourier series in space and time. This method was applied by others [19,38,39]. (c) Hutton [40] expanded the dynamic and kinematic freesurface equations in Taylor series about a stationary surface position.…”

Section: -4 / Vol 137 September 2015mentioning

confidence: 99%

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

Ibrahim

2015

Journal of Fluids Engineering

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Liquid parametric sloshing, known also as Faraday waves, has been a long standing subject of interest. The development of the theory of Faraday waves has witnessed a number of controversies regarding the analytical treatment of sloshing modal equations and modes competition. One of the significant contributions is that the energy is transferred from lower to higher harmonics and the nonlinear coupling generated static components in the temporal Fourier spectrum, leading to a contribution of a nonoscillating permanent sinusoidal deformed surface state. This article presents an overview of different problems of Faraday waves. These include the boundary value problem of liquid parametric sloshing, the influence of damping and surfactants on the stability and response of the free surface, the weakly nonlinear parametric and autoparametric sloshing dynamics, and breaking waves under high parametric excitation level. An overview of the physics of Faraday wave competition together with pattern formation under single-, two-, three-, and multifrequency parametric excitation will be presented. Significant effort was made in order to understand and predict the pattern selection using analytical and numerical tools. Mechanisms for selecting the main frequency responses that are different from the first subharmonic one were identified in the literature. Nontraditional sources of parametric excitation and Faraday waves of ferromagnetic films and ferrofluids will be briefly discussed. Under random parametric excitation and g-jitter, the behavior of Faraday waves is described in terms of stochastic stability modes and spectral density function.

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Three-dimensional arbitrary Lagrangian-Eulerian numerical prediction method for non-linear free surface oscillation

Ushijima

1998

Int. J. Numer. Meth. Fluids

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Liquid surface oscillations in longitudinally excited rigid cylindrical containers

Cited by 110 publications

References 6 publications

Two-dimensional nonlinear parametric sloshing in the irregular tanks: numerical analysis and experimental investigation

Two-dimensional nonlinear parametric sloshing in the irregular tanks: numerical analysis and experimental investigation

Recent Advances in Physics of Fluid Parametric Sloshing and Related Problems

Three-dimensional arbitrary Lagrangian-Eulerian numerical prediction method for non-linear free surface oscillation

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