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Journal articles on the topic "Water sloshing tank"

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Jin, Heng, Ruiyin Song, and Yi Liu. "Sloshing Motion in a Real-Scale Water Storage Tank under Nonlinear Ground Motion." Water 12, no. 8 (July 24, 2020): 2098. http://dx.doi.org/10.3390/w12082098.

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Water storage tanks in cities are usually large and are occasionally affected by earthquakes. A sudden earthquake can cause pressure pulses that damage water containers severely. In this study, the sloshing motion in a high filling level tank caused by seismic excitation is investigated by the numerical method in a 2D model. Two well-studied strong earthquakes are used to analyze the broadband frequency nonlinear displacement of the tank both in the longitudinal and vertical directions. Based on careful experimental verification, the free surface motion and the elevations at the side wall are captured, and the sloshing pressure response is examined. The results show that the 2D section of the cylindrical tank can be used to estimate the maximum response of the 3D sloshing, and the water motions under the seismic excitations are consistent with the modal characteristics of the sloshing. The time histories response of the water motion reflected that the sloshing response is hysteretic compared with the seismic excitation. The anti-seismic ability of the damping baffle shows that its effect on sloshing pressure suppression is limited, and further study on the seismic design of water tanks in earthquake-prone regions is needed.
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Govindrao Mane, Sneha, and Dr S. S. Angalekar. "SEISMIC ANALYSIS OF WATER TANK AT DIFFERENT STOREY HEIGHT OF THE BUILDING AND TO CHECK FLUID SLOSHING EFFECT." International Journal of Engineering Applied Sciences and Technology 7, no. 1 (May 1, 2022): 141–46. http://dx.doi.org/10.33564/ijeast.2022.v07i01.021.

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Sloshing is one of the most dominant effects in elevated water tanks, water storage tanks, and structures. An earthquake is a disruptive disturbance that causes shaking of the earth's surface due to movement along a fault plane or volcanic activity. The nature of the produced forces is reckless and only lasts a brief time. Sloshing thus involves a wide range of engineering difficulties, one of which is the dynamic response of lifeline liquid storage tanks in the event of an earthquake. Aerospace, civil, and nuclear engineers are all concerned about liquid sloshing in moving or stationary containers. DOSIWAM Sewage Treatment Plants serve to reduce negative environmental effect by enhancing effluent quality. The current study is the extension of the "environmental floor" concept, where installing the DOSIWAM system at intermittent levels of a multistoried building is carried out. The water coming out of this tank has very low BOD, so the water becomes suitable for reuse in gardening, irrigation, and firefighting operations. A novel approach was used, combining the CFD software and structural analysis software to check the sloshing effect. This is part of a research effort dedicated to developing a CAE (Computer-Aided Engineering) methodology. The project's objective was to check the effect of the storage tank on the environmental floor. Thus, a storage tank and a water tank with an aspect ratio close to 1 can be safely provided. The difference in time period of the water tank and the structure was found to reduce the effect of sloshing. Hence, the Storage tank of the DOSIWAM system can be safely installed on the structure.
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Kotrasová, Kamila. "Vibration Analysis of Simply Supported Rectangular Tank Partially Filled with Water." MATEC Web of Conferences 210 (2018): 04003. http://dx.doi.org/10.1051/matecconf/201821004003.

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Ground-supported tanks are used as fluid storage. One of the phenomena associated with the seismic response of liquid-filled tanks is the fluid motion occurring that causes “sloshing” at the top of free surface. This paper presents the theoretical of fluid response of rectangular tank due to horizontal acceleration of tank bottom, the impulsive and convective (sloshing) pressure and the fluid natural frequencies. The vibration analysis of fluid filled rectangular container was monitored and was evaluated in experiment for purpose to evaluation of the first frequency mode and vibration response of fluid were analysed by using FEM.
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YANG, XIUFENG, SHILIU PENG, MOUBIN LIU, and JIARU SHAO. "NUMERICAL SIMULATION OF BALLAST WATER BY SPH METHOD." International Journal of Computational Methods 09, no. 01 (March 2012): 1240002. http://dx.doi.org/10.1142/s0219876212400026.

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Ballast water has frequently been used in ships to provide stability and adjust trim, stress, and torsion for optimal steering and propulsion. Numerical simulation of the movement of ballast water and its interaction with the solid walls of operating ships are very difficult for traditional grid-based numerical models. In this paper, the smoothed particle hydrodynamics (SPH) method is applied to simulate water tank sloshing and the movement of ships carrying ballast water in three cases. Numerical results of water tank sloshing are compared with experimental ones. Numerical results of ships indicate that carrying ballast water in several separated small tanks generally makes a ship more stable, but keeping ballast water in one big tank generally makes a ship more unstable.
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Zhang, Qiong, Bo Shui, and Hanhua Zhu. "Study on Sloshing Characteristics in a Liquid Cargo Tank under Combination Excitation." Journal of Marine Science and Engineering 10, no. 8 (August 11, 2022): 1100. http://dx.doi.org/10.3390/jmse10081100.

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Sloshing is a common flow phenomenon in liquid cargo tanks and has a great negative impact on the stability and safety of ship navigation. It is important to understand the sloshing process of tanks under the excitation of complex external conditions for the transportation of liquid cargo. In this paper, the sloshing characteristics of a liquid cargo tank are studied under the combination excitation conditions of roll and surge. The pressure distribution characteristics at different positions of the cargo tank are discussed, along with the influence of different excitation conditions on the pressure of the cargo tank. The results show that under the condition of combination excitation, the fluid sloshes along the diagonal direction of the tank, and the peak liquid height and peak pressure are located on the diagonal corner of the tank. The peak pressure at the lowest point on the diagonal of the tank is proportional to the amplitude of the roll angle and surge, and the change in roll angle amplitude has a significant impact on the pressure and liquid height at different positions.
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SAEKI, SOUICHI, HARUKI MADARAME, and KOJI OKAMOTO. "Self-induced sloshing excited by a horizontally injected plane jet." Journal of Fluid Mechanics 448 (November 26, 2001): 81–114. http://dx.doi.org/10.1017/s0022112001004153.

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A self-induced free-surface oscillation termed ‘self-induced sloshing’ was observed in a rectangular tank with a submerged and horizontally injected water jet. Self-induced sloshing is excited by the flow itself without any external force. Its behaviour was examined by experiment. The dominant frequency was found to be close to the first or second eigenvalue of fluid in a tank. The conditions of sloshing excitation were obtained for four tank geometries. They were called the ‘sloshing condition’, and defined in terms of inlet velocity and water level. Sloshing conditions were found to be strongly dependent on inlet velocity and tank geometry. A two-dimensional numerical simulation code was developed to simulate self-induced sloshing. The code was based on the boundary-fitted coordinate (BFC) method with height function. The numerical results were qualitatively verified by the experimental results, and were found to correlate well in terms of flow pattern, free-surface shape and sloshing conditions. In this study, sloshing growth was evaluated quantitatively using the simulation results. Oscillation energy supplied for the sloshing motion during a sloshing period (Econ) was calculated from simulation results. Sloshing growth was found to be strongly related to the sign and magnitude of Econ. The distribution of Econ showed that jet flow had a strong correlation with the sloshing growth. It was clarified that sloshing growth was primarily dependent on the spatial phase state of jet fluctuation. A governing parameter of self-induced sloshing, the modified Strouhal number Sts, was proposed on the basis of numerical evaluations of oscillation energy. The value of Sts suggests that one or two large vortices generated by jet fluctuations exist between the inlet and outlet during a sloshing period. When Sts is approximately either 1 (first stage) or 2 (second stage), self-induced sloshing occurs consistently in all experimental cases. The dependence of sloshing on inlet velocity, water level and tank geometry was revealed using Sts. For several tank geometries, a sloshing mode shift or jet mode (stage) transition was found to occur due to changes in inlet jet velocity. The combination of sloshing mode and jet stage can determine the state of the self-induced sloshing. As a result of this study, we propose a new excitation mechanism of self-induced sloshing, represented by a simple feedback loop closed by sloshing motion and jet fluctuation. The overall physical oscillation mechanism of self-induced sloshing was clarified using this feedback loop.
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Tsao, Wen-Huai, Ying-Chuan Chen, Christopher E. Kees, and Lance Manuel. "The Effect of Porous Media on Wave-Induced Sloshing in a Floating Tank." Applied Sciences 12, no. 11 (May 31, 2022): 5587. http://dx.doi.org/10.3390/app12115587.

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Placing porous media in a water tank can change the dynamic characteristics of the sloshing fluid. Its extra damping effect can mitigate sloshing and, thereby, protect the integrity of a liquefied natural gas tank. In addition, the out-of-phase sloshing force enables the water tank to serve as a dynamic vibration absorber for floating structures in the ocean environment. The influence of porous media on wave-induced sloshing fluid in a floating tank and the associated interaction with the substructure in the ambient wave field are the focus of this study. The numerical coupling algorithm includes the potential-based Eulerian–Lagrangian method for fluid simulation and the Newmark time-integration method for rigid-body dynamics. An equivalent mechanical model for the sloshing fluid in a rectangular tank subject to pitch motion is proposed and validated. In this approach, the degrees of freedom modeling of the sloshing fluid can be reduced so the numerical computation is fast and inexpensive. The results of the linear mechanical model and the nonlinear Eulerian–Lagrangian method are correlated. The dynamic interaction between the sloshing fluid and floating body is characterized. The effectiveness of the added porous media in controlling the vibration and mitigating the sloshing response is confirmed through frequency response analysis.
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Kotrasová, Kamila. "Elevated Tank Due to Earthquake Even." Transactions of the VŠB – Technical University of Ostrava, Civil Engineering Series. 17, no. 2 (December 1, 2017): 31–36. http://dx.doi.org/10.1515/tvsb-2017-0024.

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Abstract Elevated reservoirs are mainly used for storing of variety water. During earthquake activity the fluid exerts impulsive and convective (sloshing) effects on the walls and bottom of tank. This paper provides theoretical background for analytical calculating of elevated water tank due to earthquake even and deals with simplified seismic design procedures for elevated tanks.
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Ren, Lv, Yinjie Zou, Jinbo Tang, Xin Jin, Dengsong Li, and Mingming Liu. "Numerical Modeling of Coupled Surge-Heave Sloshing in a Rectangular Tank with Baffles." Shock and Vibration 2021 (May 31, 2021): 1–11. http://dx.doi.org/10.1155/2021/5545635.

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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.
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Borg, Mitchell G., Claire DeMarco Muscat-Fenech, Tahsin Tezdogan, Tonio Sant, Simon Mizzi, and Yigit Kemal Demirel. "A Numerical Analysis of Dynamic Slosh Dampening Utilising Perforated Partitions in Partially-Filled Rectangular Tanks." Journal of Marine Science and Engineering 10, no. 2 (February 13, 2022): 254. http://dx.doi.org/10.3390/jmse10020254.

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Conventional liquefied natural gas (LNG) cargo vessels are imposed with tank-fill limitations as precautions to prevent structural damage and stability-loss due to high-impact sloshing, enforcing cargo volume-fills to be lower than 10% or higher than 70% of the tank height. The restrictions, however, limit commercial operations, specifically when handling spot trades and offshore loading/unloading at multiple ports along a shipping route. The study puts forward a computational fluid dynamic (CFD) sloshing analysis of partially-filled chamfered rectangular tanks undergoing sinusoidal oscillatory kinetics with the use of the explicit volume-of-fluid and non-iterative time-advancement schemes. Establishing a 20% to 60% fill-range, the sloshing dynamics were acknowledged within an open-bore, partitioned, and perforated-partitioned tank when oscillating at frequencies of 0.5 Hz and 1 Hz. The overall torque and static pressure induced on the tank walls were investigated. High-impact slamming at the tank roof occurred at 40% and 60% fills, however, the implementation of the partition and perforated-partition barriers successfully reduced the impact due to suppression and dissipation of the wave dynamics.
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Dissertations / Theses on the topic "Water sloshing tank"

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Dahal, Purna Prasad. "Dynamic Analysis of a Frame-Supported Elevated Water Tank." OpenSIUC, 2013. https://opensiuc.lib.siu.edu/theses/1206.

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Elevated water tanks are widely used to store water for drinking as well as for fire extinguishing purposes. After a severe earthquake, the need of water for drinking as well as fire control will increase dramatically. To ensure that water tanks remain functional after an earthquake, proper analysis method should be followed in order to calculate the response of a structure for earthquake. In this study, the lateral forces developed during earthquake are investigated from commercially available SAP2000 software and the results are compared with the 2006 edition of the ACI standard "Seismic Design of Liquid-Containing Concrete Structures and Commentary" (ACI 350.3-06). The elevated concrete tank is modeled for full, half-full and empty conditions. Linear modal time history analysis is performed using scaled ground motions. Three-directional ground motion records from five different earthquakes have been scaled to the design level and applied to the structure. Sloshing behavior of water inside the tank and the effect of vertical ground motion on the columns have been investigated. It is found that, vertical ground motions can increase the axial forces in columns by up to 20 %, and the ACI 350.3-06 design method is not always conservative. As seismic response depends on both the dynamic properties of the structure and the spectral characteristics of ground motions, more research is needed to understand and model the seismic response of elevated water tanks.
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Wu, Tzu-Ching, and 吳子敬. "Experimental Study of a new sloshing liquid U-column wave power converter in water-tank." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/ea6272.

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碩士
國立中山大學
海洋環境及工程學系研究所
97
For an offshore platform structure applied to wave-energy conversion system, in order to catch the maximum waves to generate more powers, similar to wind-energy power generators, a range of angles for the devices normal to the propagating direction of incident waves is required, particularly when the power converting system has directional preference. That is one essential reason why a single mooring offshore platform system is so important in the development of an offshore wave-energy conversion system. The single mooring-system would allow the offshore wave-energy conversion system to turn freely in accordance to the action of strong directions of propagating waves and in this way, most energy induced from the incident waves can be caught and converted into reusable powers. The aims of this study are firstly, based on previous studies to further modify a single moored offshore platform system that may subject to less wave forces in the sea and, secondly, to verify the efficiency of single-moored system by carrying out an experimental testing on a simple single-moored floating platform system in the water tank.
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Book chapters on the topic "Water sloshing tank"

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Pranitha, Jogi, and B. R. Jayalekshmi. "Sloshing Response of Water Tanks Under Seismic Excitation." In Lecture Notes in Civil Engineering, 265–76. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5673-6_21.

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Conference papers on the topic "Water sloshing tank"

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Herda, Anthony. "Approach to Cylindrical Steel Tank Design to Accommodate Sloshing Effects." In World Environmental and Water Resources Congress 2013. Reston, VA: American Society of Civil Engineers, 2013. http://dx.doi.org/10.1061/9780784412947.181.

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Zhu, Yuxuan, Daogang Lu, Donghao Li, and Yu Liu. "Numerical Study of the Effect of Different Tank Shapes on Liquid Sloshing Characteristics." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-92150.

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Abstract In nuclear power engineering, there are many tanks with irregular shapes (e.g., the cooling water tank of the containment, etc.), whose shapes are quite different from the traditional rectangular tanks. Under seismic excitation, the sloshing of the liquid in the tank produces the fluid-structure interaction (FSI) with the structure. It is crucial to study the sloshing characteristics of the water tank during the design of the reactor structure. There is a difference between the sloshing characteristics of irregularly shaped tanks and rectangular tanks, but there are few studies on this difference and the significance of the difference needs to be further investigated. To explore the aforementioned issues, based on the fluid-structure interaction theory and Housner’s equivalent mechanical model, the finite element models of the irregularly shaped water tank and the regular water tank (rectangular) are established by ANSYS software. The effect of the tank shape on the sloshing frequency and added mass of water in the tank is studied by modal analysis and calculation of the added mass. Further, the significance of the effect of tank shape on the natural and dynamic characteristics of tanks is investigated by comparing the variability of the sloshing frequency and the added mass. The results can guide the fluid-structure interaction problem in nuclear power engineering and provide a reference for the structural design of similar irregular water tanks, thus improving the safety and economy of reactor design.
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Frandsen, Jannette B. "Tank Sloshing Interaction With Elastic Support Structure." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51371.

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A fully nonlinear 2-D σ-transformed finite difference solver has been developed based on inviscid flow equations in rectangular tanks. The fluid equations are coupled to an elastic support structure. Sloshing motion are simulated during structural vibration cycles at and outside resonance. The wave tank acts as a Tuned Liquid Damper (TLD). The TLD response is highly nonlinear due to the liquid sloshing. The solver is valid at any water depth except for small depth when shallow water waves and viscous effects would become important. Results of liquid sloshing induced by horizontal base excitations are presented for small to steep non-breaking waves. The effectiveness of the TLD is discussed through predictions of coupling frequencies of the tank-structural system for different tank sizes and mass ratios between fluid and structure. Good agreement is achieved between numerical model and first-order theory. It was found that the system response is extremely sensitive to small changes in forcing frequency. Furthermore, the solver removes the need for free-surface smoothing for the cases considered herein. The numerical model provides a quick and accurate way of determining system eigenfrequencies which can be hard to identify and interpret in physical experiments. Therefore the numerical solver could serve as a valuable guidance to physical experiments. The present studies can easily be expanded to include multiple wave tanks to investigate tank interaction effects, and thus cover suppression of a wider range of frequencies.
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Bouscasse, Benjamin, Andrea Colagrossi, Matteo Antuono, and Claudio Lugni. "A Classification of Shallow Water Resonant Sloshing in a Rectangular Tank." In ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/omae2013-11324.

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A numerical and experimental analysis of sloshing phenomena (i.e. violent fluid motions inside a tank) has been conducted in shallow water regimes. A large range of experimental data from moderate to large amplitude sway motions has been considered for different filling heights. The numerical simulations, performed through a δ-SPH model, aim to cover the configurations where no experiments were available and provide an exhaustive description of the shallow-water sloshing motion. A convergence analysis for non breaking and breaking cases has also been presented.
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Clauss, Günther F., Florian Sprenger, Matthias Dudek, and Daniel Testa. "Sloshing: From Theory to Offshore Operations." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83015.

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The current demand in liquefied natural gas (LNG) from remote marine locations drives the design of floating LNG (FLNG) liquefaction or regasification facilities, where LNG is transferred to shuttle carriers (LNGC). During the loading procedure, which takes about 18–24 hours for a standard sized LNGC, free fluid surfaces and varying filling levels occur inside the internal cargo tanks. This condition is critical since the seakeeping behavior of the LNGC — especially the roll motion — is strongly influenced and varying. In order to estimate and forecast the LNGC motions, numerical methods based on potential theory are the most efficient and appropriate method. The selected approach is validated by model tests at 30% water filling height inside four prismatic tanks. In-depth analyses, including force and moment measurements between tanks and hull, revealed a discrepancy between the analytical natural modes of a prismatic tank and the resonance frequencies for four prismatic tanks mounted to a LNGC hull. This effect is caused by the ratio of rigid to added mass of the system as well as the fact that the tanks are mounted to a standard hull shape featuring a longitudinal bow-stern asymmetry. In order to investigate this phenomenon systematically, surface elevations inside the tanks and natural modes for a symmetric cuboid hull are compared to results for a standard LNGC hull, both with the same main dimensions. The influence of the tank positions is also considered by comparing the original (longitudinally asymmetric) LNGC tank positions on the cuboid hull to an exactly symmetric arrangement.
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Arai, Makoto, Humberto S. Makiyama, and Liang-Yee Cheng. "Numerical Simulation of Sloshing of Water in Ship Tanks During Sequential Ballast Water Exchange in Seaways." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28261.

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In recent years, ballast water has been blamed for a variety of marine pollution problems, particularly for transporting harmful aquatic organisms from one part of the world to another and damaging the ecosystem of the new areas. A relatively simple mechanism to control this problem is to exchange ballast water on the high seas between ports in order to remove invasive species before the ship reaches its destination. However, some issues regarding ballast exchange on the open sea need to be addressed before this operation is introduced. One of them is the sloshing of the sea water in the ballast tank. In this paper, ballast water exchange on the open sea by means of the Sequential exchange method is simulated. Irregular seaways are generated from the ISSC spectrum, and the sloshing response of the water in the ballast tanks of a large merchant ship is numerically computed by using a finite difference code developed by the authors. The results showed that there is little possibility that severe sloshing presents a serious problem in regard to the ballast tank’s strength, especially in the case of a bulk carrier whose tanks are generally short in length, with sloshing anticipated only at the low water level.
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Yang, Shuo, and Raymond K. Yee. "Explicit Finite Element Study of Liquid Sloshing Behavior in Fluid-Structure Interaction Condition." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70832.

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As a common phenomenon in liquid motions, sloshing usually happens in a partially filled liquid tank of moving vehicle or structure. The objectives of this paper are to study sloshing behavior in rigid tank and deformable tank, and to develop a better performance baffle design in the tank under seismic excitations. The tank is surged with a sinusoidal oscillation about horizontal x-direction. The hydro-elasticity effect of sloshing pressure on the tank wall was taken into consideration due to the fluid-structure interaction between impact pressures and tank structures. ABAQUS finite element program using Coupled Eulerian-Lagrangian (CEL) technique was employed to simulate fluid sloshing. The sloshing phenomenon was studied in rigid tank and deformable tank models with three different water levels, and the effect of wall thickness of the deformable tank on sloshing behavior was discussed. One way to minimize the effect of sloshing in a tank, baffles are used and installed in the middle of the tank, and then various heights and material types of baffle were evaluated. The simulation results show that higher water level case creates greater pressure impact on the tank wall than lower water level case, and the elasticity of the tank structure would reduce the impact pressure of the wall. For the simulation tank model with size of 1m (H) × 1m (W) × 0.2m (D), better performance baffle was found to be the one with the height of 0.35m and was made of acrylic material. Moreover, the conclusion of this study can be extrapolated to other dimensions of the model based on similarity theory. This paper also can serve as an aid in further studying sloshing phenomenon. The findings of this study can be applied to restrain or minimize sloshing motions inside a tank.
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Gou, Hongliang, ZiDuan Shang, Yugang Sun, Meng Chu, and Honghui Ge. "Seismic Performance of PCS Water Storage Tank Considering Fluid-Structure Interaction." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-66338.

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Water sloshing of PCS water storage tank (PCSWST) can cause a significant effect on the dynamic response of Shield Building under seismic loads. It is complicated to perform the calculation of water sloshing especially for the tanks with irregular shapes. Consequently, it is important to establish an appropriate equivalent mechanical model for simulation[1], [2]. In this paper, the water sloshing is firstly investigated based on the potential flow theory, which including the seismic modal analysis. Based on the theoretical research, a highly efficient (simplified) calculation formula is derived, which mainly considering the impulse mass, convective mass, position function and spring stiffness etc., through this way the equivalent model for PCSWST is established by applying mass-spring element. The equivalent models based on Housner & Graham theory[3], [4] are also established. Additionally, the 3-D finite element model of water sloshing considering fluid-structure interaction is established by using the software of Ansys. Total of four models are built as shown in the paper, then modal analysis and dynamic response under earthquake excitation are performed using ANSYS. The results are compared to justify the equivalent model in this paper. The results indicate that Graham formula did not provide the correct location expressions for the convective masses. The expressions for the impulsive mass and its position given by Housner are not satisfactory. As a comparison, the results from the equivalent model, which is recommended in this paper, can best fit the data from finite model. From above results and comparisons, a more reasonable and refined equivalent model for PCSWST design is provided. Based on the equivalent model established, the influence on structure caused by the increase of water mass is analyzed. The results from the seismic analysis are compared, including member force, shear strain and shear force. Based on the research, the feasibility of the design is analyzed, which can provide important support for the structural design. Finally, the seismic reduction of water tank is studied using the finite element model established in this paper. The horizontal and vertical anti-sloshing baffles are designed. The maximum acceleration and displacement corresponding to different baffle length are compared to study the effect of the seismic reduction.
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Yang, Chengzhuo, Thomas Metais, Zihao Zheng, Yang Dai, and Jiesheng Min. "A Comparative Approach of a Seismic Response Analysis Based on Housner Model and Added Mass Model for a Nuclear Water Storage Tank." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-93230.

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Abstract Water storage tanks are widely used in the nuclear industry for safety purposes, chemical water control and primary volume water management. Under seismic load, the sloshing of water inside the storage tank can cause a strong dynamic response, which may also change some mechanical characteristics of the tank, for example the center of mass. The water sloshing analysis is therefore an important part of the modal and seismic analysis of water storage tank. However, the water sloshing effect contains a complicated fluid-structure interaction but structural analysts cannot afford the time to spend on the calculation. It is important to build up a simplified equivalent model for the simulation. EDF has been developing since 1989 its own in-house FEA code baptized code_aster, which is included in the SALOME-MECA mechanical package. In this paper two simplified fluid-structure interaction models are performed using SALOME-MECA. Firstly, an optimized Housner model is derived with formula and implemented with 3D finite model. Additionally, another 3D finite element model using added mass model assembled in code_aster, which can simulate more precisely the fluid-structure interaction of the water storage tank. Based on the theory of these two models, their natural modes results and seismic response results are carefully compared and analyzed. The results indicate Housner model can provide a precise value of the water sloshing frequency and its displacement value is not accurate enough due to the impulse mass and convection mass simplification. However, the added mass model in SALOME-MECA can provide a more accurate and reasonable result on vibration mode calculation, which may provide an interesting alternative method for seismic verification for the nuclear refueling water tank.
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Grotle, Erlend Liavåg, and Vilmar Æsøy. "Experimental and Numerical Investigation of Sloshing in Marine LNG Fuel Tanks." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-61554.

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Abstract:
In the last 15 years, there has been an increasing number of LNG-fuelled ships carrying C-type tanks, classified as pressure vessels. Experience have shown that vessel motion combined with low bunkering temperature can result in rapid pressure drop. The form of the tank heads has a spherical shape, and its influence on the sloshing requires further investigation. In this study, we look at the sloshing characteristics in a small cylindrical tank with 2:1 semi-elliptic heads undergoing a harmonic pitch motion with different filling levels and frequencies, but with constant amplitude. Results from numerical simulations are compared with laboratory experiments performed at NTNU in Ålesund. Numerical simulations are performed with the open-source CFD tool OpenFOAM. Both two- and three-dimensional simulations are compared to the experiments, but it is found that three-dimensional effects cannot be excluded in these tanks. Presented results are non-dimensional wave elevation in the tank as well as general description of the sloshing characteristics. The results show interesting wave patterns due to the spherical shape of the tank heads, and the agreement between the measured non-dimensional free-surface elevation and simulations is good. At higher filling, a violent jet is formed because the tank heads lead the water back with high speed.
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