Low Frequency Sloshing Analysis of Cylindrical Containers with Flat and Conical Baffles

Open access


This paper presents an analysis of low-frequency liquid vibrations in rigid partially filled containers with baffles. The liquid is supposed to be an ideal and incompressible one and its flow is irrotational. A compound shell of revolution is considered as the container model. For evaluating the velocity potential the system of singular boundary integral equations has been obtained. The single-domain and multi-domain reduced boundary element methods have been used for its numerical solution. The numerical simulation is performed to validate the proposed method and to estimate the sloshing frequencies and modes of fluid-filled cylindrical shells with baffles in the forms of circular plates and truncated cones. Both axisymmetric and non-axisymmetric modes of liquid vibrations in baffled and un-baffled tanks have been considered. The proposed method makes it possible to determine a suitable place with a proper height for installing baffles in tanks by using the numerical experiment.

[1] Space Exploration Technologies Corp. Demo Flight 2 (2007): Flight Review Update, June 15.

[2] Vreeburg, Jan P.B. (2005): Spacecraft Maneuvers and Slosh Control.- IEEE Control Systems Magazine.

[3] Strandberg L.(1978): Lateral Stability of Road Tankers.- Sweden, VTI Report No. 138A.

[4] Lloyd N., Vaiciurgis E.T.A. and Langrish G. (2002): The effect of baffle design on longitudinal liquid movement in road tankers: an experimental investigation. - Process Safety and Environ Prot Trans Inst. Chem. Engrs., vol.80, No.4, pp.181-185.

[5] Wang J.D., Lo S.H. and Zhou D. (2013): Liquid sloshing in rigid cylindrical container with multiple rigid annular baffles: Lateral vibration.- Journal of Fluids and Structures, vol.42, pp.421-436.

[6] Younes M.F., Younes Y.K., El-Madah M., Ibrahim I.M. and El-Dannanh E.H. (2007): An experimental investigation of hydrodynamic damping due vertical baffle arrangements in rectangular tank. - Proc. I Mech E, J. Eng. Maritime Environ., vol.221, pp.115-123.

[7] Ravnik J., Strelnikova E., Gnitko V., Degtyarev K. and Ogorodnyk U. (2016): BEM and FEM analysis of fluidstructure interaction in a double tank .- Engineering Analysis with Boundary Elements, vol.67, pp.13-25.

[8] Gnitko V., Naumenko V., Rozova L. and Strelnikova E. (2016): Multi-domain boundary element method for liquid sloshing analysis of tanks with baffles.- Journal of Basic and Applied Research International, vol.17, No.1, pp.75-87.

[9] Popov G., Sankar S. and Sankar T.S. (1993): Dynamics of liquid sloshing in baffled and compartmented road containers. - J. Fluids Struct., vol.7, pp.803-821.

[10] Wu C. and Chen B. (2009): Sloshing waves and resonance modes of fluid in a 3D tank by a time-independent finite difference method. - Ocean Eng., vol.36, pp.500-510.

[11] Kandasamy T., Rakheja S. and A. Ahmed K.W. (2010): An analysis of baffles designs for limiting fluid slosh in partly filled tank trucks. - The Open Transportation Journal, vol.4, pp.23-32.

[12] Mi-an Xue, Peng-zhi Lin, Jin-hai Zheng, Yu-xiang Ma, Xiao-li Yuan and Viet-Thanh Nguyen (2013): Effects of perforated baffle on reducing sloshing in rectangular tank: Experimental and numerical study. - China Ocean Engineering, vol.27, No.5, pp.615-628.

[13] Eswaran M., Saha U.K. and Maity D. (2009): Effect of baffles on a partially filled cubic tank: Numerical simulation and experimental validation. - Journal of computer and structures, vol.87, pp.198-205.

[14] Abbas Maleki and Mansour Ziyaeifar (2008): Sloshing damping in cylindrical liquid storage tanks with baffles. - Journal of Sound and Vibration, vol.311, No.1-2, pp.372-385.

[15] Jin Yan and Hong Liang Yu (2011): The free sloshing modal analysis of liquid tank with baffles. - Advanced Materials Research, vol.10, pp.347-353.

[16] Gavrilyuk I., Lukovsky I., Trotsenko Yu. and Timokha A. (2006): Sloshing in a vertical circular cylindrical tank with an annular baffle. Part 1. Linear fundamental solutions. - Journal of Engineering Mathematics, vol.54, pp.71-88.

[17] Degtyarev K., Glushich P., Gnitko V. and Strelnikova E. (2015): Numerical simulation of free liquid-induced vibrations in elastic shells. - International Journal of Morern Physics and Applications, vol.1, No.4, pp.159-168.

[18] Liu D. and Lin P. (2008): A numerical study of three-dimensional liquid sloshing in tanks. - J. Comput. Phys., vol.227, pp.3921-3939.

[19] Kashani B.K. and Sani A.A. (2016): Free vibration analysis of horizontal cylindrical shells including sloshing effect utilizing polar finite elements. - European Journal of Mechanics and Solids, vol.58, pp.187-201.

[20] Brebbia C.A., Telles J.C.F. and Wrobel L.C. (1984): Boundary Element Techniques. - Berlin and New York: Springer-Verlag.

[21] Degtyarev K., Gnitko V., Naumenko V. and Strelnikova E. (2016): Reduced boundary element method for liquid sloshing analysis of cylindrical and conical tanks with baffles. - Int. Journal of Electronic Engineering and Computer Sciences, vol.1, pp.14-27.

[22] Ventsel E., Naumenko V., Strelnikova E. and Yeseleva E. (2010): Free vibrations of shells of revolution filled with a fluid. - Engineering Analysis with Boundary Elements, vol.34, pp.856-862.

[23] Ibrahim R.A. (2005): Liquid Sloshing Dynamics: Theory and Applications. - Cambridge University Press.

International Journal of Applied Mechanics and Engineering

The Journal of University of Zielona Góra

Journal Information

CiteScore 2017: 0.39

SCImago Journal Rank (SJR) 2017: 0.153
Source Normalized Impact per Paper (SNIP) 2017: 0.331


All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 336 332 21
PDF Downloads 104 102 8