The pressure distribution on the rectangular and trapezoidal storage tanks' perimeters due to liquid sloshing phenomenon
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초록
Sloshing phenomenon is a complicated free surface flow problem that increases the dynamic pressure on the sidewalls and the bottom of the storage tanks. When the storage tanks are partially filled, it is essential to be able to evaluate the fluid dynamic loads on the tank's perimeter. In this paper, a numerical code was developed to determine the pressure distribution on the rectangular and trapezoidal storage tanks' perimeters due to liquid sloshing phenomenon. Assuming the fluid to be inviscid, the Laplace equation and the nonlinear free surface boundary conditions were solved using coupled boundary element e finite element method. The code performance for sloshing modeling was validated using Nakayama and Washizu's results. Finally, this code was used for partially filled rectangular and trapezoidal storage tanks and free surface displacement, pressure distribution and horizontal and vertical forces exerted on the tanks' perimeters due to liquid sloshing phenomenon were estimated and discussed.
Abstract
Sloshing phenomenon is a complicated free surface flow problem that increases the dynamic pressure on the sidewalls and the bottom of the storage tanks. When the storage tanks are partially filled, it is essential to be able to evaluate the fluid dynamic loads on the tank's perimeter. In this paper, a numerical code was developed to determine the pressure distribution on the rectangular and trapezoidal storage tanks' perimeters due to liquid sloshing phenomenon. Assuming the fluid to be inviscid, the Laplace equation and the nonlinear free surface boundary conditions were solved using coupled boundary element e finite element method. The code performance for sloshing modeling was validated using Nakayama and Washizu's results. Finally, this code was used for partially filled rectangular and trapezoidal storage tanks and free surface displacement, pressure distribution and horizontal and vertical forces exerted on the tanks' perimeters due to liquid sloshing phenomenon were estimated and discussed.
참고문헌 (49)
- Akyildiz, H., "Experimental investigation of pressure distribution on a rectangular tank due to the liquid sloshing", Ocean Eng, 32(11), pp.1503~1516 (2005)
- Akyildiz, H., "Sloshing in a three-dimensional rectangular tank: numerical simulation and experimental validation", Ocean Eng, 33(16), pp.2135~2149 (2006)
- Belakroum, R., "An efficient passive technique for reducing sloshing in rectangular tanks partially filled with liquid", Mech. Res. Commun, 37(3), pp.341~346 (2010)
- Celebi, M. S., "Nonlinear modeling of liquid sloshing in moving rectangular tank", Ocean Eng, 29(12), pp.1527~1553 (2002)
- Chen, B. F., "Complete two-dimensional analysis of seawave- induced fully non-linear sloshing fluid in a rigid floating tank", Ocean Eng, 27(9), pp.953~977 (2000)
- Chen, B. F., "Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank", J. Comput. Phys, 209(1), pp.47~81 (2005)
- Chen, Y. W., "Numerical simulation of the two-dimensional sloshing problem using a multi-scaling Trefftz method", Eng. Anal. Bound. Elem, 36(1), pp.9~29 (2012)
- Choun, Y. S., "Sloshing characteristics in rectangular tanks with a submerged block", Comput. Struct, 61(3), pp.401~413 (1996)
- Curadelli, O., "Resonant frequencies in an elevated spherical container partially filled with water: FEM and measurement", J. Fluids Struct, 26(1), pp.148~159 (2010)
- De Chowdhury, S., "Numerical simulation of 2D sloshing waves using SPH with diffusive terms", Appl. Ocean Res, 47, pp.219~240 (2014)
- Frandsen, J. B., "Sloshing motions in excited tanks", J. Comput. Phys, 196(1), pp.53~87 (2004)
- Gavrilyuk, I. P., "Linear and nonlinear sloshing in a circular conical tank", Fluid Dyn. Res, 37(6), pp.399~429 (2005)
- Gomez-Goni, J., "Two phase analysis of sloshing in a rectangular container with Volume of Fluid (VOF) methods", Ocean Eng, 73, pp.208~212 (2013)
- Hasheminejad, S. M., "Sloshing characteristics in half-full horizontal elliptical tanks with vertical baffles", Appl. Math. Model, 36(1), pp.57~71 (2012)
- Huang, S., "Time-domain simulation of tank sloshing pressure and experimental validation", J. Hydrodyn. Ser. B, 22(5), pp.556~563 (2010)
- Jing Li, H. L., "Numerical studies on sloshing in rectangular tanks using a tree-based adaptive solver and experimental validation", Ocean Eng, 82, pp.20~31 (2014)
- Jung, J. H., "Effect of the vertical baffle height on the liquid sloshing in a three- dimensional rectangular tank", Ocean Eng, 44, pp.79~89 (2012)
- 정재환, "Effect of natural frequency modes on sloshing phenomenon in a rectangular tank", International Journal of Naval Architecture and Ocean Engineering, 7(3), pp.580~594 (2015), 대한조선학회
- Karamanos, S. A., "Sloshing effects on the seismic design of horizontal-cylindrical and spherical industrial vessels", J. Press. Vessel Technol, 128(3), pp.328~340 (2005)
- Ketabdari, M. J., "Parametric study for optimization of storage tanks considering sloshing phenomenon using coupled BEMeFEM", Appl. Math. Comput, 224, pp.123~139 (2013)
- Ketabdari, M. J., "Numerical study on behaviour of the trapezoidal storage tank due to liquid sloshing impact", Int. J. Comput. Methods, 10(6), pp.1~22 (2013)
- Ketabdari, M. J., "A new arrangement with nonlinear sidewalls for tanker ship storage panels", J. Ocean Univ. China, 12(1), pp.23~31 (2013)
- M. J. Ketabdari, "Optimization of Linear and Nonlinear Sidewall Storage Units using Coupled Boundary Element-Finite Element Methods", KSCE Journal of Civil Engineering, 19(4), pp.805~813 (2015), 대한토목학회[DOI]
- 김유일, "Rapid response calculation of LNG cargo containment system under sloshing load using wavelet transformation", International Journal of Naval Architecture and Ocean Engineering, 5(2), pp.227~245 (2013), 대한조선학회
- Lee, S. J., "The effects of LNG- tank sloshing on the global motions of LNG carriers", Ocean Eng, 34(1), pp.10~20 (2007)
- Lee, D. H., "A parametric sensitivity study on LNG tank sloshing loads by numerical simulations", Ocean Eng, 34(1), pp.3~9 (2007)
- 이치승, "Evaluation of sloshing resistance performance for LNG carrier insulation system based on fluid-structure interaction analysis", International Journal of Naval Architecture and Ocean Engineering, 5(1), pp.1~20 (2013), 대한조선학회
- Liu, D., "A numerical study of three-dimensional liquid sloshing in tanks", J. Comput. Phys, 227(8), pp.3921~3939 (2008)
- Liu, D., "Three-dimensional liquid sloshing in a tank with baffles", Ocean Eng, 36(2), pp.202~212 (2009)
- Lu, L., "Two-dimensional viscous numerical simulation of liquid sloshing in rectangular tank with", without baffles and comparison with potential flow solutions, 2015, pp.108, 662~677
- Mciver, P., "Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth", J. Fluid Mech, 201, pp.243~257 (1989)
- Ming, P. J., "Numerical simulation of sloshing in rectangular tank with VOF based on unstructured grids", J. Hydrodyn. Ser. B, 22(6), pp.856~864 (2010)
- Nakayama, T., "Boundary Element Analysis of Nonlinear Sloshing Problems" (1984), Elsevier Applied Science Publishers
- Panigrahy, P. K., "Experimental studies on sloshing behavior due to horizontal movement of liquids in baffled tanks", Ocean Eng, 36(3-4), pp.213~222 (2009)
- Papaspyrou, S., "Refined solution of externally induced sloshing in half-full spherical containers", J. Eng. Mech, 129(12), pp.1369~1379 (2003)
- Papaspyrou, S., "Response of halffull horizontal cylinders under transverse excitation", J. Fluids Struct, 19(7), pp.985~1003 (2004)
- Patkas, L. A., "Variational solutions of externallyinduced sloshing in horizontal- cylindrical and spherical vessels", J. Eng. Mech, 133(6), pp.641~655 (2007)
- Pirker, S., "Experimental and numerical investigation of sloshing resonance phenomena in a spring-mounted rectangular tank", Chem. Eng. Sci, 68(1), pp.143~150 (2012)
- Saghi, H., "Numerical simulation of sloshing in rectangular storage tank using coupled FEM-BEM", J. Mar. Sci. Appl, 11(4), pp.417~426 (2012)
- Shekari, M. R., "A couple BE-FE study for evaluation of seismically isolated cylindrical liquid storage tanks considering fluid-structure interaction", J. Fluids Struct, 25, pp.567~585 (2009)
- Wiesche, S. A. D., "Sloshing dynamics of a viscous liquid in a spinning horizontal cylindrical tank", Aerosp. Sci. Technol, 12(6), pp.448~456 (2008)
- Wu, G. X., "Second-order resonance of sloshing in a tank", Ocean Eng, 34(17-18), pp.2345~2349 (2007)
- Wu, C. H., "Numerical study of sloshing liquid in tanks with baffles by time-independent finite difference and fictitious cell method", Comput. Fluids, 63, pp.9~26 (2012)
- Yue, B. Z., "Nonlinear coupling dynamics of liquid filled spherical container in microgravity", Appl. Math. Mech, 29, pp.1085~1092 (2008)
- Zhang, C., "Analysis of liquid sloshing in LNG carrier with wedgeshaped tanks", Ocean Eng, 105, pp.304~317 (2015)
- Zhang, C., "Application of an improved semi-Lagrangian procedure to fully-nonlinear simulation of sloshing in non-wall-sided tanks", Appl. Ocean Res, 51, pp.74~92 (2015)
- Zhang, C., "Fully nonlinear analysis of second-order sloshing resonance in a three-dimensional tank", Comput. Fluids, 116, pp.88~104 (2015)
- Zhao, Y., "Numerical simulation of 3D sloshing flow in partially filled LNG tank using a coupled level-set and volume-of-fluid method", Ocean Eng, 104, pp.10~30 (2015)
- Chang-Fang Zou, "Effects of boundary layer and liquid viscosity and compressible air on sloshing characteristics", International Journal of Naval Architecture and Ocean Engineering, 7(4), pp.670~690 (2015), 대한조선학회
