A numerical study: liquid sloshing dynamics in a tank due to uncoupled sway, heave and roll ship motions

Authors

  • Nasar Thuvanismail PROFESSOR Toc H Institute of Science and Technology
  • Sannasiraj Sannasi PROFESSOR IIT MADRAS
  • Sundar Vallam PROFESSOR IIT MADRAS

DOI:

https://doi.org/10.3329/jname.v10i2.16215

Keywords:

Regular wave, perturbation, first mode, primary resonance, parametric resonance, barge, pitching

Abstract

In order to explore the physics implicated with the sloshing phenomenon subjected to independent regular sway, heave and roll excitations of the liquid tank system, theoretical studies are carried out. Four liquid fill levels with static liquid depth, hs, to the length, l of aspect ratio (hs/l) 0.163, 0.325, 0.488 and 0.585, are considered. The energy spectra of sloshing oscillation, their qualitative assessment and the harmonics present in the sloshing oscillation are studied. Frequency Response amplitude has also been presented. The study reveals that sway excites a particular mode of sloshing (primary harmonic) by fulfilling the resonance conditions and also excites secondary modes. However, the roll motion excites the first mode of sloshing irrespective of the excitation frequencies. The heave motion excites the particular mode which is assumed as an initial perturbation.

DOI: http://dx.doi.org/10.3329/jname.v10i2.16215

 

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Author Biography

Nasar Thuvanismail, PROFESSOR Toc H Institute of Science and Technology

 

DEPARTMENT OF CIVIL ENGINEERING

References

Armenio, V. and La Rocca, M. (1996): On the Analysis of Sloshing of water in Rectangular Containers: Numerical study and Experimental validation, Ocean Engineering, Vol.23, No.3, pp.705-739. http://dx.doi.org/10.1016/0029-8018(96)84409-X

Benjamin, T.B. and Ursell, H.W. (1954): The Stability of the Plane Free Surface of a Liquid in a Vertical Periodic Motion, Proceedings of Royal Society of London, Series A225, pp.505 515. http://dx.doi.org/10.1098/rspa.1954.0218

British Maritime Corporate profile (2005): British Maritime Technology Limited, UK.

Faltinsen, O.M. (1974): Nonlinear Theory of Sloshing in Rectangular Tanks, Journal of Ship Research, Vol.18, No.4, pp.224 241.

Faltinsen, O.M. (1978): A Numerical Nonlinear Method of Sloshing in Tanks with Two Dimensional Flow, Journal of Ship Research, Vol.22, No.3, pp.193 202.

Faltinsen, O.M., Rognebakke, O.F., Lukovksky, I.A. and Timokha, A.N. (2000): Multimodal Analysis of Nonlinear Sloshing in a Rectangular Tank with Finite Water depth, Journal of Fluid Mechanics, Vol.407, pp.201 234. http://dx.doi.org/10.1017/S0022112099007569

Faltinsen, O.M. and Timokha, A.N. (2001): Adaptive Multimodal approach to Nonlinear Sloshing in a Rectangular Tank., Journal of Fluid Mechanics, Vol.432, pp.167 200.

Faltinsen, O.M. and Timokha, A.N. (2002): Asymptotic Modal approximation of Nonlinear Resonant Sloshing in a Rectangular Tank with small Fuid depth, Journal of Fluid Mechanics, Vol.470, pp.319 357. http://dx.doi.org/10.1017/S0022112002002112

Frandsen, J.B. (2003): Simulation of Sloshing motions in Fixed and Vertically Excited Containers using a 2-D Inviscid sigma-transformed Finite Difference Solver, Journal of Fluids and Structures, Vol.18, pp.197 214. http://dx.doi.org/10.1016/j.jfluidstructs.2003.07.004

Frandsen, J.B. (2004): Sloshing in Excited Tanks, Journal of Computational Physics, Vol.196, pp.53 87. http://dx.doi.org/10.1016/j.jcp.2003.10.031

Ibrahim, R.A. (2005): Liquid Sloshing Dynamics Theory and Applications, Cambridge University press, Newyork.

Jermie, J.S., Sannasiraj S.A. and Sundar V. (2012): Numerical Simulation of Sloshing in a Rectangular Tank Subjected to Rotational Motion, Proceedings of the Twenty-second International Offshore and Polar Engineering Conference, Rhodes, Greece, June 1722.

Jiang, L., Ting, C., Perlin, M. and Schultz, W.W. (1996): Moderate and steep Faraday waves: instabilities, modulation and temporal asymmetries, Journal of Fluid Mechanics, Vol.329, pp.275-307. http://dx.doi.org/10.1017/S0022112096008920

Lui, A.P. and Lou, Y.K. (1990): Dynamic Coupling of a Liquid Tank system under Transient Excitations, Ocean Engineering, Vol.17, No.3, pp.263 277. http://dx.doi.org/10.1016/0029-8018(90)90005-Q

Miles, J. and Henderson, D. (1990): Parametrically forced surface waves, Annual review of Fluid Mechanics, Vol. 22, pp.143-165. http://dx.doi.org/10.1146/annurev.fl.22.010190.001043

Moiseyev, N.N. (1958): On the Theory of Nonlinear Vibrations of a Liquid of Finite volume. Applied Mathematics and Mechanics, Vol. 22, No.5, pp.612 621.

Nasar T., Sannasiraj S.A. and Sundar V. (2008a): Experimental Study of Liquid Sloshing Dynamics in a Barge carrying Tank. Fluid Dynamics Research, Vol.40, pp.427 - 458. http://dx.doi.org/10.1016/j.fluiddyn.2008.02.001

Nasar, T., Sannasiraj, S.A. and Sundar, V. (2008b): Sloshing Pressure Variation in a Barge carrying Tank, Ships and Offshore Structures, Vol.3, No.3, pp.185 - 203. http://dx.doi.org/10.1080/17445300802204363

Nasar, T., Sannasiraj, S.A. and Sundar, V. (2009): Wave Induced Sloshing pressure in a Liquid Tank under Irregular Waves, Part M: Journal of Engineering for Maritime Environment, Vol.223, No.2, pp.145 - 161. doi: 10.1243/14750902JEME135

Nasar, T., Sannasiraj, S.A. and Sundar, V. (2010): Motion Responses of Barge carrying Liquid Tank, Ocean Engineering, Vol.37, pp.935 - 946. http://dx.doi.org/10.1016/j.oceaneng.2010.03.006

Nasar, T., Sannasiraj, S.A. and Sundar, V. (2012): Liquid Sloshing Dynamics in a Barge subjected to Random Wave Excitations, Journal of Naval Architecture and Marine Engineering, Vol.9, No.1, pp.43-65. doi: 10.3329/jname.v9i1.7600

Ockendon, H., Ockendon, J.R and Johnson, A.D. (1989): Resonant Sloshing in Shallow water, Journal of Fluid Mechanics, Vol.167, pp.465-479. http://dx.doi.org/10.1017/S0022112086002926

Ockendon, H., Ockendon, J.R., Peake, M.R. and Chester, W.(1993): Geometrical effects in Resonance Gas Oscillations, Journal of Fluid Mechanics, Vol. 257, pp.201 217. http://dx.doi.org/10.1017/S0022112093003040

Ockendon, H., Ockendon, J.R. and Waterhouse, D.D. (1996): Multimode Resonances in Fluids, Journal of Fluid Mechanics, Vol.315, pp.317 344. http://dx.doi.org/10.1017/S0022112096002443

Pirker, S., Aigner, A. and Wimmer, G. (2012): Experimental and Numerical investigation of Sloshing Resonance phenomena in a spring - mounted Rectangular Tank, Chemical Engineering Science, Vol.68, pp.143 150. doi:10.1016/j.ces.2011.09.021

Solass, F. and Faltinsen, O.M.(1997): Combined Numerical and Analytical solution for Sloshing in Two-Dimensional Tanks of General Shape, Journal of Ship Research, Vol.41, No.2, pp.118-129.

Sriram V., Sannasiraj S.A. and Sundar V. (2006): Numerical Simulation of 2D Sloshing Waves due to Horizontal and Vertical Random Excitations, Applied Ocean Research, Vol.28, pp.19 32. http://dx.doi.org/10.1016/j.apor.2006.01.002

The Naval Architect (September 2007): Simulating safe Shipping of LNG, The Royal Institution of Naval Architect, London, UK.

Warnitchai, P. and Pinkaew, T. (1998): Modeling of Liquid Sloshing in Rectangular Tanks with Flow-Dampening Devices, Engineering Structures, Vol.20, pp.593 600. http://dx.doi.org/10.1016/S0141-0296(97)00068-0

Waterhouse, D.D. (1994): Resonant Sloshing near Critical Depth, Journal of Fluid Mechanics, Vol.281, pp.313 318. http://dx.doi.org/10.1017/S0022112094003125

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Published

28.12.2013

How to Cite

Thuvanismail, N., Sannasi, S., & Vallam, S. (2013). A numerical study: liquid sloshing dynamics in a tank due to uncoupled sway, heave and roll ship motions. Journal of Naval Architecture and Marine Engineering, 10(2), 119–138. https://doi.org/10.3329/jname.v10i2.16215

Issue

Vol. 10 No. 2 (2013)

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Articles

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