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On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions

Published online by Cambridge University Press:  07 May 2015

O. M. Faltinsen  and
A. N. Timokha
O. M. Faltinsen*
Affiliation:
Centre for Autonomous Marine Operations and Systems, Department of Marine Technology, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway
A. N. Timokha
Affiliation:
Centre for Autonomous Marine Operations and Systems, Department of Marine Technology, Norwegian University of Science and Technology, NO-7491, Trondheim, Norway Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereschenkivska str., Kiev-4, 01601, Ukraine
*
†Email address for correspondence: [email protected]
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Abstract

Based on a similarity between piston-mode sloshing in a two-dimensional rectangular moonpool and a small-amplitude oscillatory flow through a slot in a slatted screen, a pressure discharge in the moonpool opening is theoretically quantified. This makes it possible, by changing the dynamic free-surface condition inside the moonpool, to account for the vortex-induced damping and thereby to modify the inviscid potential flow statement. The present paper is an important addition to Faltinsen et al. (J. Fluid Mech., vol. 575, 2007, pp. 359–397), where a discrepancy between the potential flow theory and model tests was reported. New calculations are supported by the earlier model tests of the authors as well as numerical data obtained by means of viscous solvers.

JFM classification

Interfacial Flows (free surface): Interfacial Flows (free surface) Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 772 , 10 June 2015 , R1
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Copyright
© 2015 Cambridge University Press 

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References

Baines, W. D. & Peterson, E. G. 1951 An investigation of flow through screens. ASME Trans. 73, 467–479.Google Scholar
Blevins, R. D. 1992 Applied Fluid Dynamics. Krieger.Google Scholar
Faltinsen, O. M., Firoozkoohi, R. & Timokha, A. N. 2011 Steady-state liquid sloshing in a rectangular tank with a slat-type screen in the middle: quasi-linear modal analysis and experiments. Phys. Fluids 23, 042101.CrossRefGoogle Scholar
Faltinsen, O. M., Rognebakke, O. F. & Timokha, A. N. 2007 Two-dimensional resonant piston-like sloshing in a moonpool. J. Fluid Mech. 575, 359–397.CrossRefGoogle Scholar
Faltinsen, O. M. & Timokha, A. N. 2009 Sloshing. Cambridge University Press.Google Scholar
Feng, X. & Bai, W. 2015 Wave resonances in a narrow gap between two barges using fully nonlinear numerical simulation. Appl. Ocean Res. 50, 119–129.Google Scholar
Fredriksen, A. G., Kristiansen, T. & Faltinsen, O. M. 2015 Wave-induced response of a floating two-dimensional body with a moonpool. Phil. Trans. R. Soc. Lond. A 373 (2033), 20140109.Google Scholar
Fukuda, K. 1977 Behaviour of water in vertical well with bottom opening of ship, and its effect on ship motions. J. Soc. Nav. Archit. Japan 141, 107–122.Google Scholar
Hamelin, J. A., Love, J. S., Tait, M. J. & Wilson, J. C. 2013 Tuned liquid dampers with a Keulegan–Carpenter number-dependent screen drag coefficient. J. Fluids Struct. 43, 271–286.Google Scholar
Heo, J.-K., Park, J.-C., Koo, W.-C. & Kim, M.-H. 2014 Influences of vorticity to vertical motion of two-dimensional moonpool under forced heave motion. Math. Probl. Engng 2014, 423927.Google Scholar
Kristiansen, T. & Faltinsen, O. M. 2008 Application of a vortex tracking method to the piston-like behaviour in a semi-entrained vertical gap. Appl. Ocean Res. 30, 1–18.Google Scholar
Kristiansen, T. & Faltinsen, O. M. 2010 A two-dimensional numerical and experimental study of resonant coupled ship and piston-mode motion. Appl. Ocean Res. 32, 158–176.Google Scholar
Kristiansen, T. & Faltinsen, O. M. 2012 Gap resonance analyzed by a new domain-decomposition method combining potential and viscous flow draft. Appl. Ocean Res. 34, 198–208.Google Scholar
Kristiansen, T., Sauder, T. & Firoozkoohi, R.2013 Validation of a hybrid code combining potential and viscous flow with application to 3D moonpool. In Proceedings of the ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE2013), June 9–14, 2013, Nantes, France, vol. 12. American Society of Mechanical Engineers.Google Scholar
Liu, Y. & Li, H.-J. 2014 A new semi-analytical solution for gap resonance between twin rectangular boxes. Proc. Inst. Mech. Engrs, Part M 228, 3–16.Google Scholar
McIver, P. 2014 An extended wide-spacing approximation for two-dimensional water-wave problems in infinite depth. Q. J. Mech. Appl. Maths 67 (3), 445–468.Google Scholar
Molin, B. 2001 On the piston and sloshing modes in moonpools. J. Fluid Mech. 430, 27–50.Google Scholar
Molin, B., Remy, F., Camhi, A. & Ledoux, A.2009 Experimental and numerical study of the gap resonances in-between two rectangular barges. In Proceedings of the 13th Congress of the International Maritime Association of the Mediterranean (IMAM 2009), 12–15 October, Istanbul, Turkey.Google Scholar
Molin, B., Remy, F., Kimmoun, O. & Stassen, Y. 2002 Experimental study of the wave propagation and decay in a channel through a rigid ice-sheet. Appl. Ocean Res. 24 (5), 5–20.CrossRefGoogle Scholar
Newman, J. N.2003 Application of generalized modes for the simulation of free surface patches in multiple body interactions. Tech. Rep. WAMIT Consortium.Google Scholar
Uzair, A. S. & Koo, W. 2012 Hydrodynamic analysis of a floating body with an open chamber using a 2D fully nonlinear numerical wave tank. Intl J. Nav. Archit. Ocean Engng 4, 281–290.CrossRefGoogle Scholar
de Vries, I., Roux, Y., Naciri, M. & Bonnaffoux, G.2013 Dynamics of entrapped water in large turret moonpools. In Proceedings of the ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE2013), June 9–14, 2013, Nantes, France, paper no. OMAE2013-11467. American Society of Mechanical Engineers.Google Scholar
Weisbach, J. 1855 Die Experimental Hydraulik. J. G. Engelhardt.Google Scholar
Zhang, X. & Bandyk, P. 2013 On two-dimensional moonpool resonance for twin bodies in a two-layer fluid. Appl. Ocean Res. 40, 1–13.Google Scholar
Zhou, H.-W. 2013 Radiation and diffraction analysis of a cylindrical body with a moon pool. J. Hydrodyn. 25 (2), 196–204.Google Scholar
Zhou, H. W., Wu, G. X. & Zhang, H. S. 2013 Wave radiation and diffraction by a two-dimensional floating rectangular body with an opening in its bottom. J. Engng Maths 83, 1–22.CrossRefGoogle Scholar
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