Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2014 (2014), Article ID 507281, 15 pages
http://dx.doi.org/10.1155/2014/507281
Research Article

Liquid Sloshing in a Horizontal Circular Container with Eccentric Tube under External Excitation

1Department of Mechanical Engineering, Islamic Azad University, Firoozkooh Branch, Firoozkooh, Iran
2School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
3Young Researchers and Elites Club, Islamic Azad University, Science and Research Branch, Tehran, Iran

Received 23 February 2014; Accepted 27 July 2014; Published 7 September 2014

Academic Editor: Mohammad Elahinia

Copyright © 2014 Mohammad Nezami et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. A. Ibrahim, Liquid Sloshing Dynamics: Theory and Applications, Cambridge University Press, New York, NY, USA, 2nd edition, 2005.
  2. A. E. P. Veldman, J. Gerrits, R. Luppes, J. A. Helder, and J. P. B. Vreeburg, “The numerical simulation of liquid sloshing on board spacecraft,” Journal of Computational Physics, vol. 224, no. 1, pp. 82–99, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  3. R. Monti, Physics of Fluids in Microgravity, CRC Press, Boca Raton, Fla, USA, 1st edition, 2002.
  4. B. N. Antar and V. S. Nuotio-Antar, Fundamentals of Low Gravity Fluid Dynamics and Heat Transfer, CRC Press, Boca Raton, Fla, USA, 1st edition, 1994.
  5. C. Hubert, “Behavior of spinning space vehicles with onboard liquids,” in Proceedings of the Flight Mechanics Symposium, pp. 1–14, NASA, 2003.
  6. J. A. Romero, O. Ramírez, J. M. Fortanell, M. Martinez, and A. Lozano, “Analysis of lateral sloshing forces within road containers with high fill levels,” Proceedings of the Institution of Mechanical Engineers D: Journal of Automobile Engineering, vol. 220, no. 3, pp. 302–312, 2006. View at Publisher · View at Google Scholar · View at Scopus
  7. L. Dai and L. Xu, “A numerical scheme for dynamic liquid sloshing in horizontal cylindrical containers,” Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 220, no. 7, pp. 901–918, 2006. View at Publisher · View at Google Scholar · View at Scopus
  8. C. H. Wu and B. F. Chen, “Sloshing waves and resonance modes of fluid in a 3D tank by a time-independent finite difference method,” Ocean Engineering, vol. 36, no. 6-7, pp. 500–510, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. G. X. Wu, “Second-order resonance of sloshing in a tank,” Ocean Engineering, vol. 34, no. 17-18, pp. 2345–2349, 2007. View at Publisher · View at Google Scholar · View at Scopus
  10. D. Liu and P. Lin, “Three-dimensional liquid sloshing in a tank with baffles,” Ocean Engineering, vol. 36, no. 2, pp. 202–212, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. B. Budiansky, “Sloshing of liquids in circular canals and spherical tanks,” Journal of the Aerospace Sciences, vol. 27, pp. 161–173, 1960. View at Google Scholar · View at MathSciNet
  12. J. L. McCarty and D. Stephens, Investigation of the Natural Frequencies of Fluids in Spherical and Cylindrical Tanks, National Aeronautics and Space Administration, Washington, DC, USA, 1960.
  13. N. N. Moiseev and A. A. Petrov, “The calculation of free oscillations of a liquid in a motionless container,” Advances in Applied Mechanics, vol. 9, pp. 91–154, 1966. View at Publisher · View at Google Scholar · View at Scopus
  14. P. McIver, “Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth,” Journal of Fluid Mechanics, vol. 201, pp. 243–257, 1989. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  15. N. Kobayashi, T. Mieda, H. Shibata, and Y. Shinozaki, “Study of the liquid slosh response in horizontal cylindrical tanks,” Journal of Pressure Vessel Technology—Transactions of the ASME, vol. 111, no. 1, pp. 32–38, 1989. View at Google Scholar · View at Scopus
  16. D. V. Evans and C. M. Linton, “Sloshing frequencies,” Quarterly Journal of Mechanics and Applied Mathematics, vol. 46, no. 1, pp. 71–87, 1993. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. G. Popov, S. Sankar, T. S. Sankar, and G. H. Vatistas, “Dynamics of liquid sloshing in horizontal cylindrical road containers,” Proceedings of the Institution of Mechanical Engineers C: Journal of Mechanical Engineering Science, vol. 207, no. 2, pp. 399–406, 1993. View at Google Scholar · View at Scopus
  18. S. Papaspyrou, S. A. Karamanos, and D. Valougeorgis, “Response of half-full horizontal cylinders under transverse excitation,” Journal of Fluids and Structures, vol. 19, no. 7, pp. 985–1003, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. S. Papaspyrou, D. Valougeorgis, and S. A. Karamanos, “Sloshing effects in half-full horizontal cylindrical vessels under longitudinal excitation,” Journal of Applied Mechanics, Transactions ASME, vol. 71, no. 2, pp. 255–265, 2004. View at Publisher · View at Google Scholar · View at Scopus
  20. S. A. Karamanos, L. A. Patkas, and M. A. Platyrrachos, “Sloshing effects on the seismic design of horizontal-cylindrical and spherical industrial vessels,” Journal of Pressure Vessel Technology—Transactions of the ASME, vol. 128, no. 3, pp. 328–340, 2006. View at Publisher · View at Google Scholar · View at Scopus
  21. L. A. Patkas and S. A. Karamanos, “Variational solutions for externally induced sloshing in horizontal-cylindrical and spherical vessels,” Journal of Engineering Mechanics, vol. 133, no. 6, pp. 641–655, 2007. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Zhou, J. F. Li, and T. S. Wang, “Simulation of liquid sloshing in curved-wall containers with arbitrary Lagrangian-Eulerian method,” International Journal for Numerical Methods in Fluids, vol. 57, no. 4, pp. 437–452, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  23. A. A. Lakis, G. Bursuc, and M. H. Toorani, “Sloshing effect on the dynamic behavior of horizontal cylindrical shells,” Nuclear Engineering and Design, vol. 239, no. 7, pp. 1193–1206, 2009. View at Publisher · View at Google Scholar · View at Scopus
  24. A. Gedikli and M. E. Ergüven, “Evaluation of sloshing problem by variational boundary element method,” Engineering Analysis with Boundary Elements, vol. 27, no. 9, pp. 935–943, 2003. View at Publisher · View at Google Scholar · View at Scopus
  25. L. Strandberg, “Lateral stability of road tankers,” VTI Report No. 138A, National Road and Traffic Research Institute, Linköping, Sweden, 1978. View at Google Scholar
  26. H. N. Abramson, “Slosh suppression,” NASA Technical Report SP-8031, National Aeronautics and Space Administration, 1969. View at Google Scholar
  27. J. R. Cho, H. W. Lee, and K. W. Kim, “Free vibration analysis of baffled liquid-storage tanks by the structural-acoustic finite element formulation,” Journal of Sound and Vibration, vol. 258, no. 5, pp. 847–866, 2002. View at Publisher · View at Google Scholar · View at Scopus
  28. I. Gavrilyuk, I. Lukovsky, Y. Trotsenko, and A. Timokha, “Sloshing in a vertical circular cylindrical tank with an annular baffle. I. Linear fundamental solutions,” Journal of Engineering Mathematics, vol. 54, no. 1, pp. 71–88, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  29. K. C. Biswal, S. K. Bhattacharyya, and P. K. Sinha, “Non-linear sloshing in partially liquid filled containers with baffles,” International Journal for Numerical Methods in Engineering, vol. 68, no. 3, pp. 317–337, 2006. View at Publisher · View at Google Scholar · View at Scopus
  30. K. Modaressi-Tehrani, S. Rakheja, and I. Stiharu, “Three-dimensional analysis of transient slosh within a partly-filled tank equipped with baffles,” Vehicle System Dynamics, vol. 45, no. 6, pp. 525–548, 2007. View at Publisher · View at Google Scholar · View at Scopus
  31. A. Maleki and M. Ziyaeifar, “Sloshing damping in cylindrical liquid storage tanks with baffles,” Journal of Sound and Vibration, vol. 311, no. 1-2, pp. 372–385, 2008. View at Publisher · View at Google Scholar · View at Scopus
  32. S. Chantasiriwan, “Modal analysis of free vibration of liquid in rigid container by the method of fundamental solutions,” Engineering Analysis with Boundary Elements, vol. 33, no. 5, pp. 726–730, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  33. S. M. Hasheminejad and M. Aghabeigi, “Liquid sloshing in half-full horizontal elliptical tanks,” Journal of Sound and Vibration, vol. 324, no. 1-2, pp. 332–349, 2009. View at Publisher · View at Google Scholar · View at Scopus
  34. G. R. Yan, S. Rakheja, and K. Siddiqui, “Baffle design analysis for a road tanker: transient fluid slosh approach,” SAE International Journal of Commercial Vehicles, vol. 1, no. 1, pp. 397–405, 2009. View at Publisher · View at Google Scholar · View at Scopus
  35. G. R. Yan, S. Rakheja, and K. Siddiqui, “Analysis of transient fluid slosh in partly-filled tanks with and without baffles: part 1—model validation,” International Journal of Heavy Vehicle Systems, vol. 17, no. 3-4, pp. 359–379, 2010. View at Publisher · View at Google Scholar · View at Scopus
  36. P. Pal, “Slosh dynamics of liquid-filled rigid containers: two-dimensional meshless local Petrov-Galerkin approach,” Journal of Engineering Mechanics, vol. 138, no. 6, pp. 567–581, 2012. View at Publisher · View at Google Scholar · View at Scopus
  37. O. M. Faltinsen and A. N. Timokha, “A multimodal method for liquid sloshing in a two-dimensional circular tank,” Journal of Fluid Mechanics, vol. 665, pp. 457–479, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  38. H. Takahara and K. Kimura, “Frequency response of sloshing in an annular cylindrical tank subjected to pitching excitation,” Journal of Sound and Vibration, vol. 331, no. 13, pp. 3199–3212, 2012. View at Publisher · View at Google Scholar · View at Scopus
  39. B. Robu, L. Baudouin, and C. Prieur, “Active vibration control of a fluid/plate system using a pole placement controller,” International Journal of Control, vol. 85, no. 6, pp. 684–694, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  40. A. N. Williams and X. Wang, “Nonlinear transient wave motions in base-excited rectangular tanks,” Journal of Fluids and Structures, vol. 6, no. 4, pp. 471–491, 1992. View at Publisher · View at Google Scholar · View at Scopus
  41. H. Akyildiz, “A numerical study of the effects of the vertical baffle on liquid sloshing in two-dimensional rectangular tank,” Journal of Sound and Vibration, vol. 331, no. 1, pp. 41–52, 2012. View at Publisher · View at Google Scholar · View at Scopus
  42. J. H. Jung, H. S. Yoon, C. Y. Lee, and S. C. Shin, “Effect of the vertical baffle height on the liquid sloshing in a three-dimensional rectangular tank,” Ocean Engineering, vol. 44, pp. 79–89, 2012. View at Publisher · View at Google Scholar · View at Scopus
  43. C. Wu, O. M. Faltinsen, and B. Chen, “Numerical study of sloshing liquid in tanks with baffles by time-independent finite difference and fictitious cell method,” Computers & Fluids, vol. 63, pp. 9–26, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  44. M. Ali Goudarzi and S. Reza Sabbagh-Yazdi, “Investigation of nonlinear sloshing effects in seismically excited tanks,” Soil Dynamics and Earthquake Engineering, vol. 43, pp. 355–365, 2012. View at Publisher · View at Google Scholar · View at Scopus
  45. O. M. Faltinsen, O. F. Rognebakke, and A. N. Timokha, “Classification of three-dimensional nonlinear sloshing in a square-base tank with finite depth,” Journal of Fluids and Structures, vol. 20, no. 1, pp. 81–103, 2005. View at Publisher · View at Google Scholar · View at Scopus
  46. A. Marsh, M. Prakash, E. Semercigil, and Ö. F. Turan, “A study of sloshing absorber geometry for structural control with SPH,” Journal of Fluids and Structures, vol. 27, no. 8, pp. 1165–1181, 2011. View at Publisher · View at Google Scholar · View at Scopus
  47. E. Askari, F. Daneshmand, and M. Amabili, “Coupled vibrations of a partially fluid-filled cylindrical container with an internal body including the effect of free surface waves,” Journal of Fluids and Structures, vol. 27, no. 7, pp. 1049–1067, 2011. View at Publisher · View at Google Scholar · View at Scopus
  48. H. Takahara, K. Hara, and T. Ishida, “Nonlinear liquid oscillation in a cylindrical tank with an eccentric core barrel,” Journal of Fluids and Structures, vol. 35, pp. 120–132, 2012. View at Publisher · View at Google Scholar · View at Scopus
  49. S. Dutta and M. K. Laha, “Analysis of the small amplitude sloshing of a liquid in a rigid container of arbitrary shape using a low-order boundary element method,” International Journal for Numerical Methods in Engineering, vol. 47, no. 9, pp. 1633–1648, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  50. J. D. Wang, S. H. Lo, and D. Zhou, “Liquid sloshing in rigid cylindrical container with multiple rigid annular baffles: free vibration,” Journal of Fluids and Structures, vol. 34, pp. 138–156, 2012. View at Publisher · View at Google Scholar · View at Scopus
  51. F. B. Hildebrand, Advanced Calculus for Applications, Prentice Hall, Upper Saddle River, NJ, USA, 2nd edition, 1976.
  52. S. Mitra, P. P. Upadhyay, and K. P. Sinhamahapatra, “Slosh dynamics of inviscid fluids in two-dimensional tanks of various geometry using finite element method,” International Journal for Numerical Methods in Fluids, vol. 56, no. 9, pp. 1625–1651, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  53. M. Salem, Rollover stability of partially filled heavy-duty elliptical tankers using trammel pendulums to simulate fluid sloshing [Ph.D. thesis], West Virginia University, Morgantown, WVa, USA, 2000.