A numerical study of liquid sloshing in a two-dimensional tank under external excitations

Abstract

In this research, liquid sloshing behavior in a 2-D rectangular tank was simulated using ANSYS-FLUENT software subject to single or multiple-coupled external excitations (such as sway coupled with roll, and sway and roll coupled with heave). The volume of fluid (VOF) method was used to track the free surface of sloshing. External excitation was imposed through the motion of the tank by using the dynamic mesh technique. The study shows that if the tank is subjected to multiple coupled excitations and resonant excitation frequencies, liquid sloshing will become violent and sloshing loads, including impact on the top wall, will be intensified.

Keywords

liquid sloshing / multiple coupled excitations / computational fluid dynamics (CFD) / dynamic mesh technique

References

[1] Armenio V., Rocca M.L. On the analysis of sloshing of water in rectangular containers: numerical and experimental investigation. Ocean Engineering, 1996, 23(8): 705-739

[2] Bernhard G., Stephen T., Mingyi T., Chris E. An investigation of multiphase CFD modelling of a lateral sloshing tank. Computers and Fluids, 2009, 38: 183-193

[3] Faltinsen O.M. A numerical nonlinear method of sloshing in tanks with two-dimensional flow. Journal of Ship Research, 1978, 22(3): 193-202

[4] Faltinsen O.M., Rognebakke O.F., Lukovsky I.A., Timokha A.N. Multidimensional modal analysis of nonlinear sloshing in a rectangular tank with finite water depth. Journal of Fluid Mechanics, 2000, 407: 201-234

[5] Faltinsen O.M., Timokha A.N. Adaptive multimodal approach to nonlinear sloshing in a rectangular tank. Journal of Fluid Mechanics, 2001, 432: 167-200

[6] Hill D.F. Transient and steady-state amplitudes of forced waves in rectangular basins. Physics of Fluids, 2003, 15(6): 1576-1587

[7] Ibrahim R.A. Liquid sloshing dynamics: theory and applications, 2005, Cambridge: Cambridge University Press

[8] Ibrahim R.A., Pilipchuk V.N., Ikeda T. Recent advances in liquid sloshing dynamics. Applied Mechanics Reviews, 2001, 54(2): 133-199

[9] Lin P. Numerical modeling of water waves, 2008, London: Taylor & Francis

[10] Liu Y., Ma N., Gu X. Calculation and analysis of liquid sloshing loads in tanks under different kinds of stimulations. Ship & Ocean Engineering, 2009, 38(5): 7-12

[11] Lu Zhimei, Fan Sheming (2008). Sloshing advances of a ship tank. Shanghai Shipbuilding, (4), 14–16. (in Chinese)

[12] Qi J., Gu M., Wu C. Numerical simulation of sloshing in liquid tank. Journal of Ship Mechanics, 2008, 12(4): 574-581

[13] Rhee S.H. Unstructured grid based Reynolds-averaged Navier-Stokes method for liquid tank sloshing. Journal of Fluids Engineering, 2005, 127(3): 572-582

[14] Shang C., Zhao J. Studies on liquid sloshing in rigid containers using FLUENT code. Journal of Shanghai Jiao Tong University, 2008, 42(6): 953-956

[15] Sriram V., Sannasiraj S.A., Sundar V. Numerical simulation of 2D sloshing waves due to horizontal and vertical random excitation. Applied Ocean Research, 2006, 28(1): 19-32