Experimental Investigation of Sloshing Wave Effects on a Fixed Roof Rectangular Storage Tank

Document Type : Structural Earthquake Engineering




Sloshing Wave Impact Force (SWIF) caused by liquid motion during seismic excitations is investigated in this paper. When the freeboard is insufficient, the liquid waves collide to the tank roof on which uplift forces are produced. Due to the complication of sloshing impaction, there is no comprehensive investigation that can clarify the various aspect of this phenomenon. Therefore, most of standards don’t recommend any method to evaluate SWIF. Alternatively, the main approach of related codes and standards is to suggest a required freeboard in order to prevent collision of sloshing wave to the tank roof instead of evaluating the SWIF. However, suggested freeboard is too high to meet economic considerations in some cases. Therefore, the impact forces should be reasonably evaluated based on the experimental measurements and analytical solutions. An experimental investigation has been implemented to clarify the influence of various geometrical parameters on the impact roof pressure and force values of a rectangular tank. A series of shaking table tests are conducted for a partially filled rectangular tank under harmonic and different earthquake excitations. The experimental measurements for SWIF are compared with those recommended by code provisions and the effects of various parameters on SWIF are discussed.


  1. Chen, Y.G., Djidjeli, K., and Price, W.G. (2009) Numerical simulation of liquid sloshing phenomena in partially filled containers. Computers and Fluids, 38(4), 830-842.
  2. Goudarzi, M.A. and Sabbagh-Yazdi, S.R. (2008) Evaluating 3D earthquake effects on sloshing wave height of liquid storage tanks using finite element method. Journal of Seismology and Earthquake Engineering, 10(3), 123-136
  3. Shinkai, A., Tamia, S., and Mano, M. (1995) Sloshing impact pressure induced on cargo oil tank walls on the middle-sized double hull tanker. Trans. Soc. Naval Arch. West. Japan, 90, 91-98.
  4. Takemoto H., Oka, S., Ando, T., Komiya, M., Abe, K., and Naito, Sh. (1994) Experimental study on sloshing impact loads of middle sized tankers with double hull. J. Soc. Naval Arch. Japan, 176, 399-410.
  5. Cariou, A. and Casella, G. (1999) Liquid sloshing in ship tanks: a comparative study of numerical simulation. Marine Struct., 12(3), 183-198.
  6. Mimi, G. (2011) Numerical Simulation of Liquid Sloshing in Rectangular Tanks Using Consistent Par ticle Method and Experimental Verification. Ph.D. Thesis.
  7. Wei, Z.J., Yue, Q.J., Ruan, S.L., Xie, B., and Yu, X.C. (2012) An experimental investigation of liquid sloshing impact load on a rectangular tank. Journal of Ship Mechanics, 16(8), 885-892.
  8. Taylor, G. (1953) An experimental study of standing waves. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. The Royal Society.
  9. Milgram, J.H. (1969) The motion of a fluid in a cylindrical container with a free surface following vertical impact. Journal of Fluid Mechanics, 37(03), 435-448.
  10. Kobayashi, N. (1980) Impulsive acting on the tank roofs caused by sloshing liquid. Proc. 7th World Conference Earthquake Engineering, 5, 315-322.
  11. Minowa, C., Ogawa, N., Harada, I., and Ma, D.C. (1994) Sloshing roof impact of a rectangular tanks, sloshing, fluid-structure interaction and structure, response due to shock and impact loads. ASME Pressure Vessel and Piping Conference PVP- 272, 13-21.
  12. Chen, W., Haroun, M.A., and Liu, F. (1996) Large amplitude liquid sloshing in seismically excited tanks. Earthquake Engineering and Structural Dynamics, 25(7), 653-669.
  13. Akyildiz, H. and Unal, N.E. (2006) Sloshing in a three-dimensional rectangular tank: numerical simulation and experimental validation. Ocean Engineering, 33(16), 2135-2149.
  14. Praveen K. Malhotra (2005) Sloshing loads in liquid-storage tanks with insufficient freeboard. Earthquake Spectra, 21(4,) 1185-1192.
  15. Goudarzi, M.A., Sabbagh-Yazdi, S.R., and Marx, W. (2010) Seismic analysis of hydrodynamic sloshing force on storage tank roofs. Earthquake Spectra , 26(1), 131-152.
  16. Goudarzi, M., Sabbagh-Yazdi, S., and Marx, W. (2010) Seismic analysis of hydrodynamic sloshing force on storage tank roofs. Earthquake Spectra , 26(1), 131-152.
  17. Akyildiz, H., Erdem Unal, N., and Aksoy, H. (2013) An experimental investigation of the effects of the ring baffles on liquid sloshing in a rigid cylindrical tank. Ocean Engineering, 59, 190-197.
  18. Jin, H., Liu, Y., and Li, H.-J. (2014) Experimental study on sloshing in a tank with an inner horizontal perforated plate. Ocean Engineering, 82, 75-84.