Numerical simulation of parametrically forced gravity waves in a circular cylindrical container
D Krishnaraja,S P Das +1 more
- Vol. 822, Iss: 1, pp 012073
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TLDR
In this article, the instability threshold and wave breaking thresholds are plotted from the simulated results which show good agreement with the reported experimental and theoretical results, a notable observation is the presence of different time scales of wave amplitude modulations at different regimes.Abstract:
Parametrically forced gravity waves in axisymmetric mode in a circular cylinder filled with FC-72 with large liquid depth have been studied numerically. The instability threshold and wave breaking thresholds are plotted from the simulated results which show good agreement with the reported experimental and theoretical results. A notable observation is the presence of different time scales of wave amplitude modulations at different regimes. The wave amplitude response exhibits amplitude modulations, period tripling and period quadrupling without breaking of waves. Inertial collapse of the wave trough causes a high velocity jet ejection has also been observed when forcing amplitude crosses the breaking limit.read more
Citations
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Simulating Nonlinear Faraday Waves on a Cylinder
TL;DR: Qadeer et al. as mentioned in this paper presented a new technique for fast and accurate simulations of nonlinear Faraday waves in a cylinder, which generalizes the Transformed Field Expansion to this geometry for finding the highly non-local Dirichlet-to-Neumann operator (DNO) for the Laplace equation.
References
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Journal ArticleDOI
The stability of the plane free surface of a liquid in vertical periodic motion
Thomas Brooke Benjamin,F. Ursell +1 more
TL;DR: In this article, the stability of the plane free surface is investigated theoretically when the vessel is a vertical cylinder with a horizontal base, and the liquid is an ideal frictionless fluid making a constant angle of contact of 90° with the walls of the vessel.
Journal ArticleDOI
Singularity dynamics in curvature collapse and jet eruption on a fluid surface
TL;DR: This paper reports a theoretical and experimental study of the generation of a singularity by inertial focusing, in which no break-up of the fluid surface occurs, and predicts that the surface profiles should be describable by a single universal exponent.
Journal ArticleDOI
Parametrically excited solitary waves
TL;DR: In this article, a modulated cross-wave of resonant frequencyω1, carrier frequencyω =ω1 {1 + O(e)}, slowly varying complex amplitude O (e½b), longitudinal scale b/e½ and timescale 1/eω is induced in a long channel of breadth b that contains water of depth d and is subjected to a vertical oscillation of amplitude O(eb) and frequency 2ω, where 0 0.045 for d/b [gsim ] 1.
Journal ArticleDOI
Nonlinear Faraday resonance
TL;DR: In this article, the dominant axisymmetric (AAS) modes in a cylinder containing liquid with a free surface are subjected to a vertical oscillation of amplitude eg/ω2 and frequency 2ω, where ω is within O(eω) of the natural frequency of a particular (primary) mode in the surface wave spectrum and 0 δ, where δ is the damping ratio (actual/critical) of a primary mode, is a necessary condition for subharmonic response of that mode.
Journal ArticleDOI
Resonant three-dimensional nonlinear sloshing in a square-base basin
TL;DR: In this paper, an asymptotic modal system is derived for modeling nonlinear sloshing in a rectangular tank with similar width and breadth, where two primary modes are assumed to be dominant.
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