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2024 | Vol. 29, no. 2 | 90--103
Tytuł artykułu

Analysis of liquid sloshing frequencies in a partially filled 3D rectangular tank

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
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Wydawca

Rocznik
Strony
90--103
Opis fizyczny
Bibliogr. 23 poz., tab., wykr.
Twórcy
  • Department of Mathematics, Bennett University, INDIA
Bibliografia
  • [1] Gavrilyuk I., Lukovsky I., Trotsenko Y. and Timokha A. (2006): Sloshing in a vertical circular cylindrical tank withan annular baffle Part 1. Linear fundamental solutions.– J. Eng. Math., vol.54, pp.71-88,https://doi.org/10.1007/s10665-005-9001-6.
  • [2] Ansari M.R., Firouz-Abadi R.D. and Ghasemi M. (2011): Two phase modal analysis of nonlinear sloshing in arectangular container.– Oce. Eng., vol.38, pp.1277-1282, https://doi.org/10.1016/j.oceaneng.2011.04.004.
  • [3] Biswal K.C. and Bhattacharyya S.K. (2010): Dynamic response of structure coupled with liquid sloshing in alaminated composite cylindrical tank with baffle.– Finite Elem. Anal. Des., vol.46, pp.966-981,https://doi.org/10.1016/j.finel.2010.07.001.
  • [4] Choudhary N., Bora S.N. and Strelnikova E (2021): Study on liquid sloshing in an annular rigid circular cylindricaltank with damping device placed in liquid domain.– J. Vib. Eng. Tech., vol.9, pp.1-18,https://doi.org/10.1007/s42417-021-00314-w.
  • [5] Strelnikova E.A., Choudhary N., Kriutchenko D.V., Gnitko V.I. and Tonkonozhenko A.M. (2020): Liquid vibrationsin 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.enganabound.2020.07.024.
  • [6] Chen M., Wu Q., Zhang Z., Yu H. and Huang R. (2021): Investigation on the effects of vertical baffles on liquidsloshing based on a particle method.– J. Phys. Conf. Ser., vol.2083, pp.1-6,https://doi.org/10.1016/j.ijnaoe.2020.04.002.
  • [7] Saghi R., Hirdaris S. and Saghi H. (2021): The influence of flexible fluid structure interactions on sway induced tanksloshing dynamics.– Eng. Ana. Bound. Elem., vol.131, pp.206-217,https://doi.org/10.1016/j.enganabound.2021.06.023.
  • [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.protcy.2014.08.062.
  • [9] Eswaran M. and Saha U.K. (2011): Sloshing of liquids in partially filled tanks - a review of experimentalinvestigations.– Oce. Syst. Eng., vol.1, pp.131-155, https://doi.org/10.12989/ose.2011.1.2.131.
  • [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.1999.2091.
  • [11] Gnitko V., Naumemko Y. and Strelnikova E. (2017): Low frequency sloshing analysis of cylindrical containers withflat and conical baffles.– Int. J. Appl. Mech. Eng., vol.22, pp.867-881, https://doi.org/10.1515/ijame-2017-0056.
  • [12] Saghi H., Ning D., Pan S. and Saghi R. (2022): Optimization of a dual-baffled rectangular tank against the sloshingphenomenon.– J. Marine Sci. App., vol.21, pp.116-127, https://doi.org/10.1007/s11804-022-00257-y.
  • [13] Choudhary N., Kumar N., Strelnikova E.A., Gnitko V., Kriutchenko D. and Degtyariov K. (2021): Liquid vibrationsin cylindrical tanks with flexible membranes.– J. King Saud Uni. Sci., vol.33, pp.1-15,https://doi.org/10.1016/j.jksus.2021.101589.
  • [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/ICRAMI52622.2021.9585926.
  • [15] Wang J.D., Wang C. and Liu J. (2019): Sloshing reduction in a pitching circular cylindrical container by multiplerigid annular baffles.– Ocean Eng., vol.171, pp.241-249, https://doi.org/10.1016/j.oceaneng.2018.11.013.
  • [16] Hosseini M. and Farshadmanesh P. (2011): The effects of multiple vertical baffles on sloshing phenomenon inrectangular 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/math7111070.
  • [18] Maleki A. and Ziyaeifar M. (2007): Damping enhancement of seismic isolated cylindrical liquid storage tanks usingbaffles.– Eng. Struct. vol.29, pp.3227-3240, https://doi.org/10.1016/j.engstruct.2007.09.008.
  • [19] Matsui T., Uematsu Y., Kondo K., Wakasa T. and Nagaya T. (2009): Wind effects on dynamic response of a floatingroof in a cylindrical liquid storage tank.– J. Press Vessel Technol. Trans. ASME, vol.131, pp.1-10,https://doi.org/10.1016/j.engfailanal.2019.06.040.
  • [20] Wang J.D., Lo S.H., Zhou D. (2013): Sloshing of liquid in rigid cylindrical container with multiple rigid annularbaffles: Lateral excitations.– J. Fluids Struct., vol.42, pp.421-36, https://doi.org/10.1016/j.jfluidstructs.2013.07.005.
  • [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, NationalAeronautics and Space Administration, Washington, D.C.
  • [23] NZSEE (1986): Code of practice for concrete structures for the storage of liquids.– Standards Association of NewZealand, Wellington.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-ec57ec3c-af7a-4fb2-b0ab-ec25c434045b
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