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

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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.

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  • [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.

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