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An experimental and numerical study of the resonant flow between a hull and a wall

Published online by Cambridge University Press:  11 November 2021

I.A. Milne*
Affiliation:
Oceans Graduate School, The University of Western Australia, Crawley, 6009, Australia
O. Kimmoun
Affiliation:
Aix-Marseille Université, CNRS, Centrale Marseille, IRPHE, 13013 Marseille, France
J.M.R. Graham
Affiliation:
Department of Aeronautics, Imperial College London, SW7 2AZ, UK
B. Molin
Affiliation:
Aix-Marseille Université, CNRS, Centrale Marseille, IRPHE, 13013 Marseille, France
*
Email address for correspondence: [email protected]

Abstract

The wave-induced resonant flow in a narrow gap between a stationary hull and a vertical wall is studied experimentally and numerically. Vortex shedding from the sharp bilge edge of the hull gives rise to a quadratically damped free surface response in the gap, where the damping coefficient is approximately independent of wave steepness and frequency. Particle image velocimetry and direct numerical simulations were used to characterise the shedding dynamics and explore the influence of discretisation in the measurements and computations. Secondary separation was identified as a particular feature which occurred at the hull bilge in these gap flows. This can result in the generation of a system with multiple vortical regions and asymmetries between the inflow and outflow. The shedding dynamics was found to exhibit a high degree of invariance to the amplitude in the gap and the spanwise position of the barge. The new measurements and the evaluation of numerical models of varying fidelity can assist in informing offshore operations such as the side by side offloading from floating liquefied natural gas facilities.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

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.Google Scholar
Feng, X., Bai, W., Chen, X.B., Qian, L. & Ma, Z.H. 2017 Numerical investigation of viscous effects on the gap resonance between side-by-side barges. Ocean Engng 145, 4458.Google Scholar
Graham, J.M.R. 1980 The forces on sharp-edged cylinders in oscillatory flow at low Keulegan–Carpenter numbers. J. Fluid Mech. 97 (2), 331346.Google Scholar
Hummel, D. 1979 On the vortex formation over a slender wing at large incidence. AGARD-CP-247 Paper 15.Google Scholar
Kimmoun, O., Molin, B. & Oikonomidou, H. 2011 Wave drift force on a rectangular barge by a vertical wall. In Proceedings of the 26th International Workshop on Water Waves and Floating Bodies (IWWWFB), Athens, Greece.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), 116.Google Scholar
Kristiansen, T. & Faltinsen, O.M. 2009 Studies on resonant water motion between a ship and a fixed terminal in shallow water. Trans. ASME J. Offshore Mech. Arctic Engng 131 (2), 021102.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, 198208.Google Scholar
Lu, L., Tan, L., Zhou, Z., Zhao, M. & Ikoma, T. 2020 Two-dimensional numerical study of gap resonance coupling with motions of floating body moored close to a bottom-mounted wall. Phys. Fluids 32 (9), 092101.Google Scholar
Luckring, J.M. 2019 The discovery and prediction of vortex flow aerodynamics. Aeronaut. J. 123 (1264), 729804.Google Scholar
Mansard, E.P.D. & Funke, E.R. 1980 The measurement of incident and reflected spectra using a least squares method. In Proceedings of 17th Conference on Coastal Engineering (ed. B.L. Edge), Sydney, Australia. pp. 154–172. ASCE.Google Scholar
Milne, I.A., Kimmoun, O., Molin, B. & Graham, J.M.R. 2020 An experimental and numerical study of the vortex shedding dynamics during gap resonance. In Proceedings of the 35th International Workshop on Water Waves and Floating Bodies (IWWWFB), Seoul, South Korea.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 International Maritime Association of the Mediterranean (IMAM), Istanbul, Turkey. pp. 12–15.Google Scholar
Molin, B., Zhang, X., Huang, H. & Remy, F. 2018 On natural modes in moonpools and gaps in finite depth. J. Fluid Mech. 840, 530554.Google Scholar
Moradi, N., Zhou, T. & Cheng, L. 2015 Effect of inlet configuration on wave resonance in the narrow gap of two fixed bodies in close proximity. Ocean Engng 103, 88102.Google Scholar
Patankar, S.V. & Spalding, D.B. 1972 A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Intl J. Heat Mass Transfer 15 (10), 17871806.Google Scholar
Peri, M. & Swan, C. 2015 An experimental study of the wave excitation in the gap between two closely spaced bodies, with implications for LNG offloading. Appl. Ocean Res. 51, 320330.Google Scholar
Ravinthrakumar, S., Kristiansen, T., Molin, B. & Ommani, B. 2019 A two-dimensional numerical and experimental study of piston and sloshing resonance in moonpools with recess. J. Fluid Mech. 877, 142166.Google Scholar
Tan, L., Lu, L., Tang, G.-Q., Cheng, L. & Chen, X.-B. 2019 A viscous damping model for piston mode resonance. J. Fluid Mech. 871, 510533.Google Scholar
Thomas, M., Misra, S., Kambhamettu, C. & Kirby, J.T. 2005 A robust motion estimation algorithm for PIV. Meas. Sci. Technol. 16 (3), 865877.Google Scholar
Wang, H., Wolgamot, H.A., Draper, S., Zhao, W., Taylor, P.H. & Cheng, L. 2019 Resolving wave and laminar boundary layer scales for gap resonance problems. J. Fluid Mech. 866, 759775.Google Scholar
Zhao, W., Milne, I.A., Efthymiou, M., Wolgamot, H.A., Draper, S., Taylor, P.H. & Eatock Taylor, R. 2018 Current practice and research directions in hydrodynamics for FLNG-side-by-side offloading. Ocean Engng 158, 99110.Google Scholar
Zhao, W., Wolgamot, H.A., Taylor, P.H. & Eatock Taylor, R. 2017 Gap resonance and higher harmonics driven by focused transient wave groups. J. Fluid Mech. 812, 905939.Google Scholar