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Numerical simulation of sloshing in rectangular storage tank using coupled FEM-BEM

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Abstract

Sloshing of liquid can increase the dynamic pressure on the storage sidewalls and bottom in tanker ships and LNG careers. Different geometric shapes were suggested for storage tank to minimize the sloshing pressure on tank perimeter. In this research, a numerical code was developed to model liquid sloshing in a rectangular partially filled tank. Assuming the fluid to be inviscid, Laplace equation and nonlinear free surface boundary conditions are solved using coupled FEM-BEM. The code performance for sloshing modeling is validated against available data. To minimize the sloshing pressure on tank perimeter, rectangular tanks with specific volumes and different aspect ratios were investigated and the best aspect ratios were suggested. The results showed that the rectangular tank with suggested aspect ratios, not only has a maximum surrounded tank volume to the constant available volume, but also reduces the sloshing pressure efficiently.

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References

  • Belakroum R, Kadja M, Mai TH, Maalouf C (2010). An efficient passive technique for reducing sloshing in rectangular tanks partially filled with liquid. Mechanics Research Communications, 37, 341–346.

    Article  Google Scholar 

  • Celebi MS, Akyildiz H (2002). Nonlinear modeling of liquid sloshing in moving rectangular tank. Ocean Engineering, 29, 1527–1553.

    Article  Google Scholar 

  • Chen BF, Chiang HW (2000). Complete two-dimensional analysis of sea-wave-induced fully non-linear sloshing fluid in a rigid floating tank. Ocean Engineering, 27, 953–977.

    Article  Google Scholar 

  • Chen BF, Nokes R (2005). Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank. Journal of Computational Physics, 209, 47–81.

    Article  MATH  Google Scholar 

  • Curadelli O, Ambrosini D, Mirasso A, Amani M (2010). Resonant frequencies in an elevated spherical container partially filled with water: FEM and measurement. J. Fluids Structure, 26, 148–159.

    Article  Google Scholar 

  • Frandsen JB (2004). Sloshing motions in excited tank. Journal of Computational Physics, 106, 53–87.

    Article  Google Scholar 

  • Gavrilyuk IP, Lukovsky IA, Timokha AN (2005). Linear and nonlinear sloshing in a circular conical tank. Fluid Dynamics Research, 37, 399–429.

    Article  MathSciNet  MATH  Google Scholar 

  • Hasheminejad SM, Ghabeigi AM (2012). Sloshing characteristics in half-full horizontal elliptical tanks with vertical baffles. Applied Mathematical Modeling, 36, 57–71.

    Article  Google Scholar 

  • Jung JH, Yoon HS, Lee CY, Shin SC (2012). Effect of the vertical baffle height on the liquid sloshing in a three-dimensional rectangular tank. Ocean Engineering, 44, 79–89.

    Article  Google Scholar 

  • Karamanos SA, Patkas L, Platyrrachos MA (2006). Sloshing effects on the seismic design of horizontal-cylindrical and spherical industrial vessels. J. Pressure Vessel Technology, 128, 328–340.

    Article  Google Scholar 

  • Lee DH, Kim MH, Kwon SH, Kim JW, Lee YB (2007). A parametric sensitivity study on LNG tank sloshing loads by numerical simulation. Ocean Engineering, 34, 3–9.

    Article  Google Scholar 

  • Liu D, Lin P (2009). Three-dimensional liquid sloshing in a tank with baffles. Ocean Engineering, 36, 202–212.

    Article  Google Scholar 

  • Mciver P (1989). Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth. J. Fluid Mech., 201, 243–257.

    Article  MathSciNet  MATH  Google Scholar 

  • Nakayama T, Washizu K (1984). Boundary element analysis of nonlinear sloshing problems. Published in Developments in Boundary Element Method-3, Bauerjee PK, Mukherjee S, Elsevier Applied Science Publishers, Newyork.

    Google Scholar 

  • Panigrahy PK, Saha UK, Maity D (2009). Experimental studies on sloshing behavior due to horizontal movement of liquids in baffled tanks. Ocean Engineering, 36, 213–222.

    Article  Google Scholar 

  • Papaspyrou S, Valougeorgis D, Karamanos SA (2003). Refined Solution of externally induced sloshing in half-full spherical containers. J. Eng. Mech., 129, 1369–1379.

    Article  Google Scholar 

  • Papaspyrou S, Karamanos SA, Valougeorgis D (2004a). Response of half-full horizontal cylinders under transverse excitation. J. Fluid Struct., 19, 985–1003.

    Article  Google Scholar 

  • Papaspyrou S, Valougeorgis D, Karamanos SA (2004b). Sloshing effects in half-full horizontal cylinders vessels under longitudinal excitation. J. Appl. Mech., 71, 255–265.

    Article  MATH  Google Scholar 

  • Patkas L, Karamanos SA (2007). Variational solutions of externally-induced sloshing in horizontal-cylindrical and spherical vessels. J. of Eng. Mech., 133, 641–655.

    Article  Google Scholar 

  • Pirker S, Aigner A, Wimmer G (2012). Experimental and numerical investigation of sloshing resonance phenomena in a spring-mounted rectangular tank. Chemical Engineering Science, 68, 143–150.

    Article  Google Scholar 

  • Shekari MR, Khaji N, Ahmadi MT (2009). A couple BE-FE study for evaluation of seismically isolated cylindrical liquid storage tanks considering fluid-structure interaction. Journal of Fluids and Structures, 25, 567–585.

    Article  Google Scholar 

  • Wiesche SAD (2008). Sloshing dynamics of a viscous liquid in a spinning horizontal cylindrical tank. Aerospace Science Technology, 12, 448–456.

    Article  Google Scholar 

  • Yue BZ (2008). Nonlineaqr coupling dynamics of liquid filled spherical container in microgravity. J. Applied Mathematics and Mechanics (English edition), 29, 1085–1092.

    Article  Google Scholar 

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Correspondence to Mohammad Javad Ketabdari.

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Hassan Saghi received his PhD from department of Civil Engineering, Ferdowsi University of Mashad in 2012. He is currently a faculty member of Hakim Sabzevari University as associate professor in sabzevar. His current research interest includes Fluid Structure Interaction.

Mohammad Javad Ketabdari was born in 1964. He is currently the associate Profssor of the Faculty of Marine Technology, Amirkabir University of Technology (Tehran Polytechnic). He obtained his B.Sc. degree from Isfahan University of Technology in 1986, M.Sc. degrees from Engineering Faculty of Tehran University in 1992 and his Ph.D. degree from the University of Birmingham in UK in 1999. He has published in a wide range of conferences and journals more than 150 papers addressing theoretical aspects as well as practical applications in Offshore structures, Coastal structures and marine hydraulics. He supervised BSc, Msc and PhD students in their final projects and is currently teaching Nonlinear Wave Theory and Hydrodynamics of offshore platforms for PhD students.

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Saghi, H., Ketabdari, M.J. Numerical simulation of sloshing in rectangular storage tank using coupled FEM-BEM. J. Marine. Sci. Appl. 11, 417–426 (2012). https://doi.org/10.1007/s11804-012-1151-0

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