Journal ArticleDOI
Resonantly forced surface waves in a circular cylinder
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In this paper, a weakly nonlinear, weakly damped response of the free surface of a liquid in a vertical circular cylinder that is subjected to a simple harmonic, horizontal translation is examined by extending the corresponding analysis for free oscillations.Abstract:
The weakly nonlinear, weakly damped response of the free surface of a liquid in a vertical circular cylinder that is subjected to a simple harmonic, horizontal translation is examined by extending the corresponding analysis for free oscillations. The problem is characterized by three parameters, α, β, and d/a, which measure damping, frequency offset (driving frequency–natural frequency), and depth/radius. The asymptotic (t↑∞) response may be any of: (i) harmonic (at the driving frequency) with a nodal line transverse to the plane of excitation (planar harmonic); (ii) harmonic with a rotating nodal line (non-planar harmonic); (iii) a periodically modulated sinusoid (limit cycle); (iv) a chaotically modulated sinusoid. It appears, from numerical integration of the evolution equations, that only motions of type (i) and (ii) are possible if 0.30 < d/a < 0.50, but that motions of type (iii) and (iv) are possible for all other d/a in some interval (or intervals) of β if α is sufficiently small. Only motion of type (i) is possible if α exceeds a critical value that depends on d/a.read more
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Book ChapterDOI
Effect of Finite Vessel Stiffness on Transition from Two-Dimensional Liquid Sloshing to Swirling: Reduced-Order Modeling
Dar Zusman,Oleg Gendelman +1 more
TL;DR: In this paper, a reduced-order model of the sloshing liquid in a tank with finite stiffness was proposed and analyzed in conditions of simple horizontal harmonic forcing, and the effect of vessel stiffness on the transition from two-dimensional to three-dimensional motion was studied.
Book ChapterDOI
Nonlinear Waves in Circular Basins
TL;DR: In this paper, the authors examined wave propagation in a circular basin of finite uniform depth, with particular attention being given to those waves near resonance, and found that some of these weakly unstable examples are found to be stable, while others are unstable but evolve slowly in time into periodically modulated waves.
Experimental study on periodically forced interfacial gravity waves in a rotating cylindrical basin
TL;DR: In this article, Rojas et al. studied the diurnal wind-driven internal wave resonance regime, observed in stratified rotating lakes, was studied via laboratory experiments and showed strongly nonlinear wave dynamic regimes under idealized resonance conditions, ω w /ω K ≡ 1, on the shore, even for low energetic periodic forcings.
Posted ContentDOI
Experimental Analysis of Heat and Mass Transfer in Non-Isothermal Sloshing Using a Model-Based Inverse Method
TL;DR: In this article , an experimental characterization of the thermodynamic evolution of a cylindrical reservoir undergoing sloshing-induced thermal de-stratification is presented, where a 0D model-based inverse method is used to retrieve the heat and mass transfer coefficients in planar and swirl conditions from the temperature and pressure measurements in the liquid and ullage gas.
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Journal ArticleDOI
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Resonant motion of a spherical pendulum
TL;DR: In this article, the weakly nonlinear, resonant response of a damped, spherical pendulum (length l, damping ratio δ, natural frequency ω 0 ) to the planar displacement e l cos ω t (e ⪡ 1) of its point of suspension is examined in a four-dimensional phase space in which the coordinates are slowly varying amplitudes of a sinusoidal motion.
Journal ArticleDOI
Stability of forced oscillations of a spherical pendulum
TL;DR: In this paper, the equations of motion for a lightly damped spherical pendulum that is subjected to harmonic excitation in a plane are approximated in the neighborhood of resonance by discarding terms of higher than the third order in the amplitude of motion.
Journal ArticleDOI
Internally resonant surface waves in a circular cylinder
TL;DR: In this article, the two dominant, linearly independent surface-wave modes in a circular cylinder, which differ only by an azimuthal rotation of ½π and have equal natural frequencies, are nonlinearly coupled, both directly and through secondary modes.