An Analytic Solution to Sloshing Natural Periods for a Prismatic Liquid Cargo Tank with Baffles

내부재가 설치된 직육면체 화물창 내의 Sloshing 고유주기 산정

  • Shin, Jang-Ryong (Offshore and Special Ship Hull Design Team, Daewoo Shipbuilding and Marine Engineering Co. Ltd.) ;
  • Choi, Kyung-Sik (Division of Ocean Development Engineering, Korea Maritime University) ;
  • Kang, Sin-Young (Division of Ocean Development Engineering, Korea Maritime University)
  • 신장룡 (대우조선해양(주) 해양특수선선체설계팀) ;
  • 최경식 (한국해양대학교 해양개발공학부) ;
  • 강신영 (한국해양대학교 해양개발공학부)
  • Published : 2005.12.01


In the design of super tankers or LNG carriers, which transport a large amount of liquid in the cargo tanks, the structural d11mage due to liquid sloshing is an important problem. The impact pressure from sloshing is most violent when the liquid motion of a partially filled tank is in resonance with the motion of a ship. In this study, the sloshing natural periods of a baffled tank, often installed to reduce liquid motion, is analyzed. A variational method is adopted to estimate the sloshing natural periods for a prismatic cargo tank with baffles of arbitrary filling depth of liquid; the results are compared with Lloyd's Register regulations on sloshing periods. In this study, using an effective liquid-fill-depth concept, sloshing periods for a baffled tank can be expressed by the same form as rectangular prismatic tanks without baffles. In contrast to Lloyd's Register regulations, which can be applicable only to cargo tanks with constant baffle size and distribution, the present results can be applicable to cases of variable baffle size and distribution.



  1. 김용환 (1990). '유한차분법을 이용한 Tank 내의 Sloshing 해석', 대우조선기술, 제25호, pp 60-74
  2. 백승우 (2004). 3차원 슬로싱에 관한 실험적 연구, 부산대학교 석사학위논문
  3. 신장용, 최경식, 강신영, 김현수 (1994). '액체 화물창내의 SLOSHING 고유주기 산정에 관한 연구', 한국해양공학회지, 제8권, 제12호, pp 93-104
  4. 이경중,이기표 (1987). '유한차분법에 의한 2차원 탱크내의 유체유동해석', 대한조선학회지, 제24권, 제3호, pp 9-19
  5. 이판묵, 홍석원, 홍사영 (1990). '구조물의 탄성을 고려한 2차원 탱크 내 유동해석', 대한조선학회지, 제27권, 제3 호, pp 107-116
  6. Arai, M. (1984). 'Experimental and Numerical Studies of Sloshing Pressure in Liquid Cargo Tanks', Journal of the Society of Naval Architects of Japan, No 155, pp 114-121
  7. Bass, R.L. (1985). 'Modeling Criteria for Scaled LNG Sloshing Experiments', Journal of Fluids Engineering, Vol 107, pp 272-280
  8. BV (1976). Study of Partial Fillings in Ship Holds, Bureau Veritas Report
  9. Cox, P.A., Bowles, E.B. and Bass, R.L. (1979). Evaluation of Liquid Dynamic Loads in Slack LNG Cargo Tanks, Southwest Research Institute Report No. SR-1251
  10. Faltinscn, O.M. (1974). 'A Nonlinear Theory of Sloshing in Rectangular Tanks', Journal of Ship Research, Vol 18. pp 224-241
  11. Lee, D.Y. (1997). A Study on the Sloshing of Cargo Tanks Including Hydroelastic Effects, Ph.D. Dissertation, Seoul National University
  12. Lee, S.H. et al. (1995). 'Simulation of 3-D Sloshing and Structural Response in Ship's Tanks Taking Account of Fluid-Structure Interaction', SNAME Transaction, Vol 103, pp 321-342
  13. Su, T.C. and Kang, S.Y. (1986).'Analysis and Testing of the Large Amplitude Liquid Sloshing in Rectangular Containers', ASME PVP Conference, Vol 108, pp 145-154
  14. Violette, F.L.M. (1990). Sloshing Loads and Scantling Assessment for Tanks Partially Filled with Liquids, Report No. TPDD 90/11, Lloyd's Register & Clients