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Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth
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In this paper, a multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth is presented, where the modality is modelled as a set of modalities.Abstract:
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Citations
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Seismic control of multi degree of freedom structure outfitted with sloped bottom tuned liquid damper
TL;DR: In this article, the authors focused on controlling the vibration of a multidegree of freedom structure rigidly supporting a sloped bottom tuned liquid damper subjected to real earthquake ground excitation.
Journal ArticleDOI
A shallow-water sloshing model for wave breaking in rectangular tanks
TL;DR: In this paper, a simple, robust and efficient sloshing model that accounts for breaking phenomena evolving in rectangular tanks and in shallow-water conditions was proposed, which has been obtained by applying Fourier analysis to Boussinesq-type equations and using an approximate analytic solution for the vorticity generated by wave breaking.
A Finite-Element Computation For the Sloshing Motion In LNG Tank
Jang Whan Kim,Y.S. Shin,K.J. Bai +2 more
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Mass transfer enhancement by capillary waves at a liquid–vapour interface
Emil J. Hopfinger,S. P. Das +1 more
TL;DR: In this paper, the authors show that large amplitude capillary waves at a liquid-vapour interface substantially enhance the interfacial heat and mass transfer in the presence of interfacial capillary wave subharmonically excited by oscillating the circular cylinder at 50 Hz with forcing amplitude A in the direction normal to the liquid surface.
Journal ArticleDOI
Viscous effects on liquid sloshing under external excitations
Xin Jin,Pengzhi Lin +1 more
TL;DR: In this article, a 3D two-phase flow numerical model was adopted to simulate sloshing of highly viscous fluids by properly resolving boundary layer near tank walls, which was validated against available analytical solutions and previous numerical results.
References
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Journal ArticleDOI
A variational principle for a fluid with a free surface
TL;DR: In this paper, the full set of equations of motion for the classical water wave problem in Eulerian co-ordinates is obtained from a Lagrangian function which equals the pressure.
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Partial Differential Equations of Mathematical Physics
TL;DR: Bateman as mentioned in this paper argued that the main work of mathematical physicists is to represent the sequence of phenomena in time and space by means of differential equations, and to solve these equations. But the discovery of wave mechanics restored the status quo ante, and today differential equations are more important than ever before.
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A Nonlinear Theory of Sloshing in Rectangular Tanks
TL;DR: In this paper, a nonlinear, inviscid boundary-value problem of potential flow is formulated and the steady-state solution is found as a power series in epsilon to the one-third correctly to the order Epsilon.
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Nonlinear surface waves in closed basins
TL;DR: The Lagrangian and Hamiltonian for nonlinear gravity waves in a cylindrical basin are constructed in terms of the generalized co-ordinates of the free-surface displacement, {qn(t)} ≡ q, thereby reducing the continuum-mechanics problem to one in classical mechanics as discussed by the authors.