Analytical Solution of Sloshing in a Cylindrical Tank with an Elastic Cover

Jamalabadi, Mohammad Yaghoub Abdollahzadeh

doi:10.3390/math7111070

Cited by 13 publications

(4 citation statements)

References 32 publications

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“…They observed that two or three vertical baffles could minimize the sloshing impact to a great extent. Jamalabadi investigated the effects of covering a rigid, cylindrical fuel tank with a thin plate [17]. He studied the fundamental angular velocity of linked fluidstructure motion as a parameter.…”

Section: Introductionmentioning

confidence: 99%

Analysis of liquid sloshing frequencies in a partially filled 3D rectangular tank

Choudhary,

Kumar

2024

International Journal of Applied Mechanics and Engineering

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This research investigates liquid sloshing in a 3D rigid rectangular tank. The impact of rigid baffle on sloshing frequencies has been studied. The mathematical modal has been developed using potential theory. The boundary value problem has an analytical solution in terms of velocity potential with undetermined frequency. We get a system of homogeneous algebraic equations using boundary and free surface conditions. The frequencies are calculated using the non-trivial solution condition. Frequencies of baffled tank are computed for various filling levels. The effects of filling level on frequencies are identified. ANSYS software is used to report the liquid domain and rigid baffle mode forms.

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Section: Introductionmentioning

confidence: 99%

Analysis of liquid sloshing frequencies in a partially filled 3D rectangular tank

Choudhary,

Kumar

2024

International Journal of Applied Mechanics and Engineering

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“…Yu et al [36] and Sun et al [37] performed classical nonlinear works on sloshing while the nonlinearity refers to the fluid part. Jamalabadi [38,39] solved the FSI problem in analytical sloshing, sloshing with the improved boundary layer approximation [40], sloshing with finite element [41,42], LBM [43], and sloshing with SPH method [44]. In many of studies a linear elastic model is adopted for solid part and focus of accuracy is on fluid section [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

Coupling of a Nonlinear Structure with Sloshing

Jamalabadi

2023

Mathematical Problems in Engineering

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In this paper the role of solid nonlinearity on the fluid–structure interaction (FSI) is studied. First a simple mass-spring-damper system with a third-degree spring is coupled with a linear sloshing system to study the effect of solid nonlinearity. It shows that even both systems show similar behavior in free vibration tests, but nonlinearity caused 50% less on the amplitude of vibration. Then a higher order solid system coupled with a sloshing tuned liquid damper which is modeled by boundary element method (BEM) is examined. Finally, the coupling of a nonlinear solid with the sloshing system calculated at high-resolution method of smoothed particle is analyzed. The results reveal that considering surface nonlinearity in BEM has not improved the prediction significantly and the full NavierStokes calculations is in another phase and amplitude to a step response of the system even after two periods of the system in comparison with linear estimation. As shown the nonlinearity in solid part can cause a big difference in response of coupled system that pointed the necessity of the use of accurate fluid models such as BEM or smoothed particle hydrodynamics method as well as solid system identification before the coupling.

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“…Tank materials properties have been treated in [11], [12], [13], [14], [15], [16], [17]. The different partition types' effect on the frequencies and tank oscillations amplitudes has been presented in works, [18], [19], [20], [21]. Forced tank oscillations with partially filled liquid have been studied in [22], [23], [24], [25].…”

Section: Introductionmentioning

confidence: 99%

The Mutual Effect Study of Horizontal and Vertical Loads on the Elastic Tank Partially Filled with Liquid

et al. 2023

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Modern equipment elements in the energy, chemical industry, transport, aviation, and space engineering work under conditions of increased technological loads, at high temperatures and pressure levels. At the same time, the equipment is usually exposed to external loads of various natures. Hydroelastic phenomena must also be taken into account in designing and modernizing tanks and storage facilities for flammable and combustible substances. Flammable and combustible liquid accumulation leads to the increased environmental and fire hazard of such objects. The possible dangerous liquid leakage and tank depressurization negatively affect the surrounding area environment state. A fire in the tank is one of the most dangerous emergencies that could lead both to significant material and environmental damage and to human casualties. The paper treats the environmental hazards reducing problem from liquid hydrocarbon spills from storage tanks, which lead to destructive effects on all environment components especially during emergency situations. It has been established for sufficiently thin tank elastic walls, the fundamental frequency during coupled oscillations could be much lower than the frequency of the fluid in the shell with rigid walls. As the thickness of the tank wall increases, this effect becomes insignificant, and the lower oscillation frequency of the shell with liquid approaches the oscillation frequency of the liquid in a rigid tank. Parametric resonance and sub-resonance effects have been treated.

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Analytical Solution of Sloshing in a Cylindrical Tank with an Elastic Cover

Cited by 13 publications

References 32 publications

Analysis of liquid sloshing frequencies in a partially filled 3D rectangular tank

Analysis of liquid sloshing frequencies in a partially filled 3D rectangular tank

Coupling of a Nonlinear Structure with Sloshing

The Mutual Effect Study of Horizontal and Vertical Loads on the Elastic Tank Partially Filled with Liquid

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