Resonant three-dimensional nonlinear sloshing in a square base basin. Part 5. Three-dimensional non-parametric tank forcing

Faltinsen, Odd M.; Lagodzinskyi, Oleksandr E.; Timokha, Alexander

doi:10.1017/jfm.2020.253

Cited by 12 publications

(13 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…t . This system is studied in [1] for the arbitrary orbital tank forcing (1). The steady-state asymptotic (periodic) solution of the modal system contains the dominant asymptotic component…”

Section: [ ( ) ( )]mentioning

confidence: 99%

“…Lagodzinskyi, A.N. Timokha formulas for 1 P , 1 2 3 , m , m m and  can be found in [1], but [2, Fig. 9.7] graphically illustrates the values of 1 2 m , m and 3 m as functions of h , specifically,…”

Section: [ ( ) ( )]mentioning

confidence: 99%

“…When taking 1 P , 1 2 3 , m , m m and  from [1] and/or [2] for a fixed non-dimensional liquid depth h , as well as the elliptic forcing parameters, which include  x e ,  y e , and , and varying  by ( 7) in ( 6), the solution of the secular system (6) with respect to the non-dimensional amplitude parameters a, a, b, b makes it possible to draw the wave-amplitude response curves in the   1 ( / ) , A, B -space, where the resulting…”

Section: [ ( ) ( )]mentioning

confidence: 99%

“…A very special question appears on whether the counter-directed stable swirling wave mode exists, when the excitation orbit of a squarebase tank approaches the circular shape. The present paper addresses the question after conducting a parametric analytic-and-numerical analysis following the paper [1].…”

mentioning

confidence: 99%

See 3 more Smart Citations

Counter- and co-directed swirling-type waves due to orbital excitations of a square-base tank

Lagodzinskyi¹,

Timokha²

2021

Dopov. Nac. akad. nauk Ukr.

Self Cite

View full text Add to dashboard Cite

The analytic technique and numerical experiments are employed to show that the orbital elliptic translational ex citations of a square-base container can, depending on the ratio of the semiaxes of the elliptic orbit, lead, when the forcing frequency is close to the lowest natural sloshing frequency, to both the counter- and co-directed (relative to the orbital forcing direction) stable swirling-type steady-state resonant waves. For a non-zero damping in the hydrodynamic wavy system, the passage to circular orbits makes the stable counter-directed swirling impossible.

show abstract

Section: [ ( ) ( )]mentioning

confidence: 99%

Section: [ ( ) ( )]mentioning

confidence: 99%

Section: [ ( ) ( )]mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Counter- and co-directed swirling-type waves due to orbital excitations of a square-base tank

Lagodzinskyi¹,

Timokha²

2021

Dopov. Nac. akad. nauk Ukr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Frandsen [4] applied the perturbation method to identify the responses of the coupled surge-heave excited sloshing, and the excitation conditions of the coupled resonant sloshing were given. In view of the nonlinear sloshing wave, Faltinsen et al [9][10][11] did a series of analytical studies. Further work on the strongly nonlinear coupled sloshing is still needed.…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of Coupled Surge‐Heave Sloshing in a Rectangular Tank with Baffles

Ren

Zou

Tang

et al. 2021

Shock and Vibration

View full text Add to dashboard Cite

Liquid sloshing under coupled surge and heave excitations in a rectangular tank has been numerically investigated by applying a Navier–Stokes solver. Fieriest coupled sloshing was further considered, and the internal baffle was expected to suppress the violent sloshing wave. After getting fully validated against available results from the literatures, the numerical model was applied to research coupled sloshing, and both vertical baffle and horizontal baffle have been considered. Due to the strong vortexes created by the sharper corners of the baffles and the reduction of the effective water bulk climbing through the tank walls, the sloshing was dramatically reduced. The increase of the baffle distance away from the tank bottom led to a decrease in the sloshing wave. It was noted that the baffle near the free surface caused the maximal dissipation. The frequency response of the sloshing wave was accordingly illustrated.

show abstract

Nonlinear semi-analytical modeling of liquid sloshing in rectangular container with horizontal baffles

Meng,

Sun,

Wang

et al. 2023

Appl. Math. Mech.-Engl. Ed.

View full text Add to dashboard Cite

Resonant three-dimensional nonlinear sloshing in a square base basin. Part 5. Three-dimensional non-parametric tank forcing

Cited by 12 publications

References 23 publications

Counter- and co-directed swirling-type waves due to orbital excitations of a square-base tank

Counter- and co-directed swirling-type waves due to orbital excitations of a square-base tank

Numerical Modeling of Coupled Surge‐Heave Sloshing in a Rectangular Tank with Baffles

Nonlinear semi-analytical modeling of liquid sloshing in rectangular container with horizontal baffles

Contact Info

Product

Resources

About