SLOSHING IN A T-BAFFLED RECTANGULAR STORAGE TANK NUMERICAL STUDY FOR 2–D PROBLEMS

Year 2015, Issue: 01, 13 - 34, 01.03.2015

Hakan Akyıldız

Abstract

SLOSHING IN A T-BAFFLED RECTANGULAR STORAGE TANK NUMERICAL STUDY FOR 2–D PROBLEMS

Abstract

The liquid sloshing in a moving partially filled rectangular tank with vertical and T-shape baffles is investigated. A numerical algorithm based on the volume of fluid technique VOF is used to study the non-linear behaviour of liquid sloshing. The numerical model solves the complete Navier-Stokes equations in primitive variables by using of finite difference approximations with the moving coordinate system. The ratio of the baffle height to the initial liquid depth has been changed in the range of 0 ≤ hB / h ≤ 1.0. The effect of the T-shape baffle and vertical baffle height to reach the roof of the tank have been investigated. It is observed that a vertical baffle for hB / h < 0.8 would be more effective except the maximum dynamic pressure at T2 and T-shape baffle having a height hB / h ≥ 0.8 would be very effective in reducing the dynamic pressure. On the other hand, the maximum overturning moment for the T-baffled case would be much smaller. In order to assess the accuracy of the method used, some results with vertical baffle are compared with the available experimental results. The time variations of pressures have been also presented

Keywords

Sloshing, Two-dimensional free surface flow, Volume of fluid technique, Finite difference method, T-Baffle

References

• Armenio, V., Rocca, M.L., 1996. On The Analysis of Sloshing of Water in Rectangular Containers: Numerical Study and Experimental Validation, Ocean Engineering, 23(8), pp. 705-739.
• Akyildiz, H., Unal, E.N., 2005. Experimental investigation of pressure distribution on a rectangular tank due to the liquid sloshing, Ocean Engineering, 32, pp. 1503-1516.
• Akyildiz, H., Unal, E.N., 2006. Sloshing in a three dimensional rectangular tank: Numerical simulation and experimental validation, Ocean Engineering, 33(16), pp. 2135-2149.
• Celebi, M.S., Akyildiz, H., 2002. Nonlinear Modelling of Liquid Sloshing in a Moving Rectangular Tank, Ocean Engineering, 29(12), pp. 1527-1553.
• Chen, Y.G., Djidjeli, K., Price, W.G., 2009. Numerical simulation of liquid sloshing phenomena in partially filled containers, Computers & Fluids, 38, pp. 830– 842.
• Cho, J.R., Lee, H.W., 2004. Numerical study on liquid sloshing in baffled tank by nonlinear finite element method, Computer Methods in Applied Mechanics and Engineering, 193(23–26), pp. 2581–2598.
• Cho, J.R., Lee, H.W., Ha, S.Y., 2005. Finite element analysis of resonant sloshing response in a 2D baffled tank, Journal of Sound and Vibration, 228 (4–5), pp. 829–845.
• Eswaran, M., Saha, U.K., Maity, D., 2009. Effect of baffles on a partially filled cubic tank:Numerical simulation and experimental validation, Computers and Structures, 87, pp. 198– 205.
• Faltinsen, O.M., Timokha, A.N., 2009. Sloshing. Cambridge University Press, New York.
• Faltinsen, O.M., Timokha, A.N., 2001. An adaptive Multimodal Approach to Nonlinear Sloshing in a Rectangular Tank, Journal of Fluid Mechanics, 432, pp. 167-200.
• Ibrahim, R.A., 2005. Liquid Sloshing Dynamics: Theory and Applications. Cambridge University Press, New York.
• Godderidge, B., Tan, M., Earl, C., Turnock, S., 2006b. Multiphase CFD modelling of a lateralsloshing tank. In: Proceedings of the Ninth Numerical Towing Tank Symposium, Le Croisic.
• Godderidge, B., Tan, M., Earl, C., Turnock, S., 2007. Boundary layer resolution for modeling of a sloshing liquid. In: Proceedings of the Seventeenth Annual Conference of the International Society of Offshore and Polar Engineers, 3, pp. 1905–1911.
• Godderidge, B., Turnock, S., Tan, M., Earl, C., 2009a. An investigation of multiphase CFD modelling of a lateral sloshing tank, Computers and Fluids, 38, pp. 183–193.
• Godderidge, B., Turnock, S., Earl, C., Tan, M., 2009b. The effect of fluid compressibility on the simulation of sloshing impacts, Ocean Engineering, 36, pp. 578–587.
• Hirt, C.W., Nichols, B.D., 1981. Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, 39, pp. 201– 225.
• Ibrahim, R.A., Pilipchuk, V.N., Ikeda, T., 2001. Recent Advances in Liquid Sloshing Dynamics, Applied Mechanical Review 54(2), pp. 133-199.
• Kim, Y., 2001. Numerical Simulation of Sloshing Flows with Impact Load, Applied Ocean Research, 23, pp. 53-62.
• Lee, D.H., Kim, M.H., Kwon, S.H., Kim, J.W., Lee, Y.B., 2007. A parametric sensitivity study on LNG tank sloshing loads by numerical simulations, Ocean Engineering, 34, 3–9.
• Liu, D., Lin, P., 2009. A numerical study of three-dimensional liquid sloshing in tanks, Ocean Engineering, 36, pp. 202–212.
• Pal, N.C., Bhattacharyya, S.K., Sinha, P.K., 2002. Non-Linear Coupled Slosh Dynamics of Liquid-Filled Laminated Composite Containers: a Two Dimensional Finite Element Approach, Journal of Sound and Vibration, 261(1), pp. 729-49.
• Pal, P., Bhattacharyya, S.K., 2010. Sloshing in partially filled liquid containers – Numerical and experimental study for 2-D problems, Journal of Sound and Vibration, 329, pp. 4466- 4485.
• Panigrahy, P.K., Saha, U.K., Maity, D., 2009. Experimental studies on sloshing behavior due to horizontal movement of liquids in baffled tanks, Ocean Engineering, 36(3-4), pp. 213- 222.
• Sames, P.C., Marcouly, D., Schellin, E.T., 2002. Sloshing in rectangular and cylindrical tanks, Journal of Ship Research, 46(3), pp. 186-200.
• Younes, M.F., Younes, Y.K., El-Madah, M., Ibrahim, I.M., El-Dannanh, E.H., 2007. An experimental investigation of hydrodynamic damping due to vertical baffle arrangements in a rectangular tank, Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 221, pp. 115- 123