Simulation of liquid sloshing in 2D containers using the volume of fluid method (original) (raw)
Related papers
Multibody System Dynamics
Many industrial applications require the displacement of liquid-filled containers on planar paths (namely, paths on a horizontal plane), by means of linear transport systems or serial robots. The movement of the liquid inside the container, known as sloshing, is usually undesired, thus there is the necessity to keep under control the peaks that the liquid free-surface exhibits during motion. This paper aims at validating a model for estimating the liquid sloshing height, taking into account 2-dimensional motions of a cylindrical container occurring on a horizontal plane, with accelerations up to 9.5 m/s2. This model can be exploited for assessment or optimization purposes. Experiments performed with a robot following three paths, each one of them with different motion profiles, are described. Comparisons between experimental results and model predictions are provided and discussed.Finally, the previous formulation is extended in order to take into account the addition of a vertical ...
2016
The coupled response of elastic deformable liquid containers of horizontalcylindrical shape under external seismic excitation is examined, through an analytical methodology, assuming inviscid-incompressible fluid and irrotational-flow conditions. In particular, the case of a half-full horizontal-cylindrical deformable container is examined, considering an analytical series-type solution for the velocity potential function that describes the liquid motion under external excitation. This mathematical analysis extends the solution methodology presented in previous publications of the senior author, taking into account full coupling between sloshing and wall deformation in a rigorous manner, where wall deformation is considered through a sinusoidal assumed-shape function. In the mathematical formulation, the velocity potential is decomposed into three parts: (a) a first part, which represents liquid motion that follows the external excitation, (b) a “convective part”, representing liqui...
Two phase analysis of sloshing in a rectangular container with Volume of Fluid (VOF) methods
Ocean Engineering, 2013
Free surface oscillations of a liquid confined in a closed container (sloshing phenomenon) are an important issue when big amounts of liquid are industrially transported. The phenomenon involves two fluids that share a free surface boundary separating them, normally the density of the upper fluid is several orders of magnitude less than the bottom one. Due to this density difference, this phenomena has widely been studied considering only one phase fluid and using different assumptions in the physical fluid modeling. In a recent paper, Ansari et al. simulated the sloshing in containers considering two liquid phases with different densities using a multimodal method. In this work, all the results obtained by Ansari have been tested, using different densities for the phase set at the top. Despite observing a good agreement in the cases where Ansari used a zero density assumption for the higher phase, serious discrepancies in the free-surface amplitudes have been found in those cases where the experiment involves two phase fluids. In order to make sure that the results computed for comparison are correct, three different codes were used as reference: one multimodal single phase code for those cases where the upper fluid was much less dense that the bottom one and two different Navier-Stokes/ VOF codes for all cases. Although these reference codes use different physical and numerical hypotheses, we obtained a remarkable agreement among them. In those cases where a second phase was set at the top of the container, the computed amplitudes were clearly lower compared to the ones obtained by Ansari.
Finite element analysis of sloshing in liquid-filled containers
Production Engineering and Design for Development (PEDD), Cairo, Egypt, 2006
The focus of the present paper is on the development of a finite element formulation to investigate the sloshing of liquids in partially filled rigid rectangular tanks undergoing base excitation. The liquid domain is discretized into two-dimensional four-node rectangular elements with the liquid velocity potential representing the nodal degrees of freedom. Liquid sloshing effects induced by both steady-state harmonic and arbitrary horizontal base excitation are investigated in terms of the slosh frequencies, liquid velocity ...
Study of liquid sloshing: numerical and experimental approach
Computational Mechanics, 2011
In this paper, sloshing phenomenon in a rectangular tank under a sway excitation is studied numerically and experimentally. Although considerable advances have occurred in the development of numerical and experimental techniques for studying liquid sloshing, discrepancies exist between these techniques, particularly in predicting time history of impact pressure. The aim of this paper is to study the sloshing phenomenon experimentally and numerically using the Smoothed Particle Hydrodynamics method. The algorithm is enhanced for accurately calculating impact load in sloshing flow. Experiments were conducted on a 1:30 scaled two-dimensional tank, undergoing translational motion along its longitudinal axis. Two different sloshing flows corresponding to the ratio of exciting frequency to natural frequency were studied. The numerical and experimental results are compared for both global and local parameters and show very good agreement.
Sloshing Dynamics Estimation for Liquid-filled Containers under 2-Dimensional Excitation
Proceedings of the 10th ECCOMAS Thematic Conference on MULTIBODY DYNAMICS
Many industrial applications require the displacement of liquid-filled containers on planar paths, by means of linear transport systems or serial robots. The movement of the liquid inside the container, known as sloshing, is usually undesired, so there is the necessity to keep under control the peaks that the liquid free surface exhibits during motion. This paper aims at validating a model for estimating the liquid sloshing height, taking into account 2-dimensional planar motions of a cylindrical container, with accelerations up to 9.5 m/s 2. This model can be exploited for assessment or optimization purposes. Experiments performed with a robot following three paths, each one of them with different motion profiles, are described. Comparisons between experimental results and model predictions are provided and discussed.
Scientific reports, 2024
An equivalent analytical model of sloshing in a two-dimensional (2-D) rigid rectangular container equipped with multiple vertical baffles is presented. Firstly, according to the subdomain partition approach, the total liquid domain is partitioned into subdomains with the pure interface and boundary conditions. The separation of variables is utilized to achieve the velocity potential for subdomains. Then, sloshing characteristics are solved according to continuity and free surface conditions. According to the mode orthogonality of sloshing, the governing motion equation for sloshing under horizontal excitation is given by introducing generalized time coordinates. Besides, by producing the same hydrodynamic shear and overturning moment as those from the original container-liquidbaffle system, a mass-spring analytical model of the continuous liquid sloshing is established. The equivalent masses and corresponding locations are presented in the model. The feasibility of the present approach is verified by conducting comparative investigations. Finally, by utilizing normalized equivalent model parameters, the sloshing behaviors of the baffled container are investigated regarding baffle positions and heights as well as the liquid height, respectively.
Numerical Modelling of Sloshing with VOF Method
The 12th International Conference …, 2007
Sloshing in tanks carrying LNG, LPG and petroleum is an important phenomenon as dynamic pressure arises from sloshing can destroy the containing tanks. So it is vital to consider this phenomenon in design stages of carriers. The governing equations in fluid flow are conservation of mass and momentum. Modeling of free surface flow in tank needs a suitable tool. One of the most powerful tools to model the free surface is volume of fluid (VOF) method. Employing additional transport equation together with conservation of mass and momentum enable us to follow the free surface changes. A computer code was developed to evaluate sloshing problem. This code could calculate dynamic pressures exerted on walls of the containers. The model was validated using experimental data. GOVERNING EQUATIONS Conservation Equations The modeling of fluid flow can be described by mass and momentum conservation principles. It is assumed that fluid is incompressible and Newtonian. These are sufficient for the type of engineering applications considered here. Incompressibility implies that the density of the fluid is not dependent on the pressure, and for this 1 Rezaei and Ketabdari: Numerical Modelling of Sloshing with VOF Method