Hostname: page-component-5cf477f64f-2wr7h Total loading time: 0 Render date: 2025-04-07T07:09:11.292Z Has data issue: false hasContentIssue false
  • English
  • Français

A viscous damping model for piston mode resonance

Published online by Cambridge University Press:  24 May 2019

L. Tan Open the ORCID record for L. Tan [Opens in a new window] ,
L. Lu ,
G.-Q. Tang ,
L. Cheng  and
X.-B. Chen Open the ORCID record for X.-B. Chen [Opens in a new window]
L. Tan
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China
L. Lu*
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China International Joint Laboratory on Offshore Oil & Gas Engineering, Dalian University of Technology, Dalian 116024, PR China
G.-Q. Tang
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China International Joint Laboratory on Offshore Oil & Gas Engineering, Dalian University of Technology, Dalian 116024, PR China
L. Cheng
Affiliation:
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, PR China International Joint Laboratory on Offshore Oil & Gas Engineering, Dalian University of Technology, Dalian 116024, PR China School of Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, WA 6009 Australia
X.-B. Chen
Affiliation:
Deepwater Technology Research Centre, Bureau Veritas, 117674 Singapore
*
†Email address for correspondence: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

A viscous damping model is proposed based on a simplified equation of fluid motion in a moonpool or the narrow gap formed by two fixed boxes. The model takes into account the damping induced by both flow separation and wall friction through two damping coefficients, namely, the local and friction loss coefficients. The local loss coefficient is determined through specifically designed physical model tests in this work, and the friction loss coefficient is estimated through an empirical formula found in the literature. The viscous damping model is implemented in the dynamic free-surface boundary condition in the gap of a modified potential flow model. The modified potential flow model is then applied to simulate the wave-induced fluid responses in a narrow gap formed by two fixed boxes and in a moonpool for which experimental data are available. The modified potential flow model with the proposed viscous damping model works well in capturing both the resonant amplitude and frequency under a wide range of damping conditions.

JFM classification

Waves/Free-surface Flows: Surface gravity waves
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 871 , 25 July 2019 , pp. 510 - 533
Copyright
© 2019 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Chen, X.-B. 2004 Hydrodynamics in offshore and naval applications. In 6th International Conference on Hydrodynamics, Keynote Lecture, Perth. Taylor & Francis Group.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.Google 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.Google Scholar
Faltinsen, O. M. & Timokha, A. N. 2015 On damping of two-dimensional piston-mode sloshing in a rectangular moonpool under forced heave motions. J. Fluid Mech. 772 (R1), 1–11.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, 20140109.Google Scholar
Kristiansen, T. & Faltinsen, O. M. 2008 Application of a vortex tracking method to the piston-like behavior in a semi-entrained vertical gap. Appl. Ocean Res. 30, 1–16.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
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
Lu, L., Teng, B., Cheng, L. & Chen, X.-B. 2011a Modelling of multi-bodies in close proximity under water waves – fluid resonance in narrow gaps. Sci. China Ser. G 54 (1), 16–25.Google Scholar
Lu, L., Teng, B., Sun, L. & Chen, B. 2011b Modelling of multi-bodies in close proximity under water waves – fluid forces on floating bodies. Ocean Engng 38, 1403–1416.Google Scholar
Lu, L. & Chen, X. -B. 2012 Dissipation in the gap resonance between two bodies. In Proceedings of the 27th International Workshop on Water Waves and Floating Bodies, 22–25 April, Copenhagen, Denmark.Google Scholar
Lu, L., Cheng, L., Teng, B. & Zhao, M. 2010 Numerical investigation of fluid resonance in two narrow gaps of three identical rectangular structures. Appl. Ocean Res. 32, 177–190.Google Scholar
McIver, P. 2005 Complex resonances in the water-wave problem for a floating structure. J. Fluid Mech. 536, 423–443.Google Scholar
McIver, P. & Porter, R. 2016 The motion of a freely floating cylinder in the presence of a wall and the approximation of resonances. J. Fluid Mech. 795, 581–610.Google Scholar
Mei, C. C., Stiassnie, M. & Yue, D. K. P. 2005 Theory and Applications of Ocean Surface Waves, Part 1: Linear Aspects. World Scientific.Google Scholar
Molin, B. 2001 On the piston and sloshing modes in moonpools. J. Fluid Mech. 430, 27–50.Google Scholar
Molin, B. 2004 On the frictional damping in roll of ship sections. Intl Shipbuilding Prog. 51 (1), 57–83.Google Scholar
Molin, B. & Etienne, S. 2000 On viscous forces on non-circular cylinders in low KC oscillatory flows. Eur. J. Mech. (B/Fluids) 19, 453–457.Google Scholar
Molin, B., Remy, F., Camhi, A. & Ledoux, A 2009 Experimental and numerical study of the gap resonance in-between two rectangular barges. In Proceedings of the 13th Congress of the International Maritime Association of the Mediterranean, 12–15 October, Istanbul, Turkey, pp. 689–696.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.Google Scholar
Moradi, N., Zhou, T.-M. & Cheng, L. 2015 Effect of inlet configuration on wave resonance in the narrow gap of two fixed bodies in close proximity. Ocean Engng 103, 88–102.Google Scholar
Moradi, N., Zhou, T.-M. & Cheng, L. 2016 Two-dimensional numerical study on the effect of water depth on resonance behaviour of the fluid trapped between two side-by-side bodies. Appl. Ocean Res. 58, 218–231.Google Scholar
Pauw, W. H., Huijsmans, R. & Voogt, A. 2007 Advanced in the hydrodynamics of side-by-side moored vessels. In Proceedings of the 26th Conference on Ocean, Offshore Mechanics and Arctic Engineering, California, USA, pp. 597–603. American Society of Mechanical Engineers.Google Scholar
Saitoh, T., Miao, G.-P. & Ishida, H. 2006 Theoretical analysis on appearance condition of fluid resonance in a narrow gap between two modules of very large floating structure. In Proceedings of the 3rd Asia-Pacific Workshop on Marine Hydrodynamics, June 27–28, 2006, Shanghai, China, pp. 170–175.Google Scholar
Smith, B. L. 2004 Pressure recovery in a radiused sudden expansion. Exp. Fluids 36, 901–907.Google Scholar
Smith, B. L. & Swift, G. W. 2003 Power dissipation and time-averaged pressure in oscillating flow through a sudden area change. J. Acoust. Soc Am. 113 (5), 2455–2463.Google Scholar
Soulsby, R. 1997 Dynamics of Marine Sands. Thomas Telford Ltd. Google Scholar
Sun, L., Eatock Taylor, R. & Taylor, P. H. 2010 First- and second-order analysis of resonant waves between adjacent barges. J. Fluids Struct. 26, 954–978.Google Scholar
Teng, B. & Eatock Taylor, R. 1995 New higher-order boundary element methods for wave diffraction/radiation. Appl. Ocean Res. 17 (2), 71–77.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.Google Scholar
Yeung, R. W. & Seah, R. K. M. 2007 On Helmholtz and higher-order resonance of twin floating bodies. J. Engng Maths 58, 251–265.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.Google Scholar