ORIGINAL PAPER
Analysis of liquid sloshing frequencies in a partially filled 3D rectangular tank
 
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Department of Mathematics, Bennett University, India
 
 
Submission date: 2024-01-29
 
 
Final revision date: 2024-03-18
 
 
Acceptance date: 2024-05-10
 
 
Online publication date: 2024-06-19
 
 
Publication date: 2024-06-27
 
 
Corresponding author
Neelam Choudhary   

Department of Mathematics, Bennett University, Greater Noida, 201310, Gautam Budhha Nagar, India
 
 
International Journal of Applied Mechanics and Engineering 2024;29(2):90-103
 
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ABSTRACT
This research investigates liquid sloshing in a 3D rigid rectangular tank. The impact of rigid baffle on sloshing frequencies has been studied. The mathematical modal has been developed using potential theory. The boundary value problem has an analytical solution in terms of velocity potential with undetermined frequency. We get a system of homogeneous algebraic equations using boundary and free surface conditions. The frequencies are calculated using the non-trivial solution condition. Frequencies of baffled tank are computed for various filling levels. The effects of filling level on frequencies are identified. ANSYS software is used to report the liquid domain and rigid baffle mode forms.
 
REFERENCES (23)
1.
Gavrilyuk I., Lukovsky I., Trotsenko Y. and Timokha A. (2006): Sloshing in a vertical circular cylindrical tank with an annular baffle Part 1. Linear fundamental solutions.– J. Eng. Math., vol.54, pp.71-88, https://doi.org/10.1007/s10665....
 
2.
Ansari M.R., Firouz-Abadi R.D. and Ghasemi M. (2011): Two phase modal analysis of nonlinear sloshing in a rectangular container.– Oce. Eng., vol.38, pp.1277-1282, https://doi.org/10.1016/j.ocea....
 
3.
Biswal K.C. and Bhattacharyya S.K. (2010): Dynamic response of structure coupled with liquid sloshing in a laminated composite cylindrical tank with baffle.– Finite Elem. Anal. Des., vol.46, pp.966-981, https://doi.org/10.1016/j.fine....
 
4.
Choudhary N., Bora S.N. and Strelnikova E (2021): Study on liquid sloshing in an annular rigid circular cylindrical tank with damping device placed in liquid domain.– J. Vib. Eng. Tech., vol.9, pp.1-18, https://doi.org/10.1007/s42417....
 
5.
Strelnikova E.A., Choudhary N., Kriutchenko D.V., Gnitko V.I. and Tonkonozhenko A.M. (2020): Liquid vibrations in circular cylindrical tanks with and without baffles under horizontal and vertical excitations.– Eng. Anal. Bound. Elem., vol.120, pp.13-27, https://doi.org/10.1016/j.enga....
 
6.
Chen M., Wu Q., Zhang Z., Yu H. and Huang R. (2021): Investigation on the effects of vertical baffles on liquid sloshing based on a particle method.– J. Phys. Conf. Ser., vol.2083, pp.1-6, https://doi.org/10.1016/j.ijna....
 
7.
Saghi R., Hirdaris S. and Saghi H. (2021): The influence of flexible fluid structure interactions on sway induced tank sloshing dynamics.– Eng. Ana. Bound. Elem., vol.131, pp.206-217, https://doi.org/10.1016/j.enga....
 
8.
Brar G.S. and Singh S. (2014): An experimental and CFD analysis of sloshing in a tanker.– Proc. Tech., vol.14, pp.490-496, https://doi.org/10.1016/j.prot....
 
9.
Eswaran M. and Saha U.K. (2011): Sloshing of liquids in partially filled tanks - a review of experimental investigations.– Oce. Syst. Eng., vol.1, pp.131-155, https://doi.org/10.12989/ose.2....
 
10.
Gedikli A. and Erguven M.E. (1999): Seismic analysis of a liquid storage tank with a baffle.– J. Sound Vib., vol.223, pp.141-55, https://doi.org/10.1006/jsvi.1....
 
11.
Gnitko V., Naumemko Y. and Strelnikova E. (2017): Low frequency sloshing analysis of cylindrical containers with flat and conical baffles.– Int. J. Appl. Mech. Eng., vol.22, pp.867-881, https://doi.org/10.1515/ijame-....
 
12.
Saghi H., Ning D., Pan S. and Saghi R. (2022): Optimization of a dual-baffled rectangular tank against the sloshing phenomenon.– J. Marine Sci. App., vol.21, pp.116-127, https://doi.org/10.1007/s11804....
 
13.
Choudhary N., Kumar N., Strelnikova E.A., Gnitko V., Kriutchenko D. and Degtyariov K. (2021): Liquid vibrations in cylindrical tanks with flexible membranes.– J. King Saud Uni. Sci., vol.33, pp.1-15, https://doi.org/10.1016/j.jksu....
 
14.
Kumar N. and Choudhary N. (2021): Simulation and Semi-Analytical Approach on Sloshing Mitigation.– Int. Conf. Recent Adv. Math Info., pp.1-4, https://doi.org/10.1109/ICRAMI....
 
15.
Wang J.D., Wang C. and Liu J. (2019): Sloshing reduction in a pitching circular cylindrical container by multiple rigid annular baffles.– Ocean Eng., vol.171, pp.241-249, https://doi.org/10.1016/j.ocea....
 
16.
Hosseini M. and Farshadmanesh P. (2011): The effects of multiple vertical baffles on sloshing phenomenon in rectangular tanks.– WIT Trans. Built Environ. vol.120, pp.287-298, doi:10.2495/ERES110241.
 
17.
Jamalabadi M.Y.A. (2019): Analytical solution of sloshing in a cylindrical tank with an elastic cover. Mathematics. vol.7, pp.1-25, https://doi.org/10.3390/math71....
 
18.
Maleki A. and Ziyaeifar M. (2007): Damping enhancement of seismic isolated cylindrical liquid storage tanks using baffles.– Eng. Struct. vol.29, pp.3227-3240, https://doi.org/10.1016/j.engs....
 
19.
Matsui T., Uematsu Y., Kondo K., Wakasa T. and Nagaya T. (2009): Wind effects on dynamic response of a floating roof in a cylindrical liquid storage tank.– J. Press Vessel Technol. Trans. ASME, vol.131, pp.1-10, https://doi.org/10.1016/j.engf....
 
20.
Wang J.D., Lo S.H., Zhou D. (2013): Sloshing of liquid in rigid cylindrical container with multiple rigid annular baffles: Lateral excitations.– J. Fluids Struct., vol.42, pp.421-36, https://doi.org/10.1016/j.jflu....
 
21.
. Ibrahim R. A. (2005): Liquid Sloshing Dynamics. Cambridge University Press.
 
22.
Abramson H.N. (1966): The dynamic behavior of liquids in moving containers.– NASA SP-106, National Aeronautics and Space Administration, Washington, D.C.
 
23.
NZSEE (1986): Code of practice for concrete structures for the storage of liquids.– Standards Association of New Zealand, Wellington.
 
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