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Damping of surface waves by floating particles

Bruce R. Sutherland1,2,* and Neil J. Balmforth3,4

  • 1Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1
  • 2Department of Earth & Atmospheric Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2E3
  • 3Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z2
  • 4Department of Earth, Ocean, and Atmospheric Sciences, University of British Columbia, Vancouver, British Columbia, Canada V6T 1Z4

  • *bruce.sutherland@ualberta.ca
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Phys. Rev. Fluids 4, 014804 – Published 15 January, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.014804

Abstract

Laboratory experiments are performed examining the enhanced damping of surface waves by floating spherical particles. Without particles, wave amplitudes decay exponentially in time; with the particles, the dissipation is enhanced such that waves are arrested in finite time. Initially the decay is exponential with an e-folding time that is inversely proportional to the depth of the particle layer, but independent of particle size. At later times and lower amplitudes, the decay turns into a power law (ts−t)q, with exponent lying between q≃2 and 3. The stopping time ts also decreases with increasing particle layer depth.

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References (29)

  1. J. Thomson and W. E. Rogers, Swell and sea in the emerging Arctic Ocean, Geophys. Res. Lett. 41, 3136 (2014).
  2. A. L. Kohout, M. J. M. Williams, S. M. Dean, and M. H. Meylan, Storm-induced sea-ice breakup and the implications for ice extent, Nature 509, 604 (2014).
  3. C. O. Collins, W. E. Rogers, A. Marchenko, and A. V. Babanin, In situ measurements of an energetic wave event in the Arctic marginal ice zone, Geophys. Res. Lett. 42, 1863 (2015).
  4. F. Montiel and V. A. Squire, Modelling wave-induced sea ice break-up in the marginal ice zone, Proc. R. Soc. A 473, 20170258 (2017).
  5. V. A. Squire, Past, present, and impendent hydroelastic challenges in the polar and subpolar seas, Phil. Trans. R. Soc. A 369, 2813 (2011).
  6. M. J. Doble, G. De Carolis, M. H. Meylan, J.-R. Bidlot, and P. Wadhams, Relating wave attenuation to pancake ice thickness, using field measurements and model results, Geophys. Res. Lett. 42, 4473 (2015).
  7. F. Montiel, V. A. Squire, and L. G. Bennetts, Attenuation and directional spreading of ocean wave spectra in the marginal ice zone, J. Fluid Mech. 790, 492 (2016).
  8. V. A. Squire and F. Montiel, Evolution of directional wave spectra in the marginal ice zone: A new model tested with legacy data, J. Phys. Oceanogr. 46, 3121 (2016).
  9. P. Sutherland and J.-C. Gascard, Airborne remote sensing of ocean wave directional wavenumber spectra in the marginal ice zone, Geophys. Res. Lett. 43, 5151 (2016).
  10. M. H. Meylan, L. G. Bennetts, J. E. M. Mosig, W. E. Rogers, M. J. Doble, and M. A. Peter, Dispersion relations, power laws, and energy loss for waves in the marginal ice zone, J. Geophys. Res. 123, 3322 (2018).
  11. J. B. Keller, Gravity waves on ice-covered water, J. Geophys. Res. 103, 7663 (1994).
  12. N. J. Balmforth and R. V. Craster, Ocean waves and ice sheets, J. Fluid Mech. 395, 89 (1999).
  13. R. Wang and H. H. Shen, Gravity waves propagating into an ice-covered ocean: A viscoelastic model, J. Geophys. Res. 115, C06024 (2010).
  14. J. E. M. Mosig, F. Montiel, and V. A. Squire, Comparison of viscoelastic-type models for ocean wave attenuation in ice-covered seas, J. Geophys. Res. 120, 6072 (2015).
  15. V. A. Squire, A fresh look at how ocean waves and sea ice interact, Phil. Trans. R. Soc. A 376, 20170342 (2018).
  16. S. Martin and P. Kauffman, A field and laboratory study of wave damping by grease ice, J. Glaciol. 27, 283 (1981).
  17. K. Newyear and S. Martin, A comparison of theory and laboratory measurements of wave propagation and attenuation in grease ice, J. Geophys. Res. 102, 25091 (1997).
  18. R. Wang and H. H. Shen, Experimental study on surface wave propagating through grease-pancake ice mixture, Cold Regions Sci. Tech. 61, 90 (2010).
  19. A. Toffoli, L. G. Bennetts, M. H. Meylan, C. Cavaliere, A. Alberello, J. Elsnab, and J. P. Monty, Sea ice floes dissipate the energy of steep ocean waves, Geophys. Res. Lett. 42, 8547 (2015).
  20. A. Sauret, F. Boulogne, J. Cappello, E. Dressaire, and H. A. Stone, Damping of liquid sloshing by foams, Phys. Fluids 27, 022103 (2015).
  21. F. Viola, P.-T. Brun, B. Dollet, and F. Gallaire, Foam on troubled water: Capillary induced finite-time arrest of sloshing waves, Phys. Fluids 28, 091701 (2016).
  22. F. Viola, P.-T. Brun, and F. Gallaire, Capillary hysteresis in sloshing dynamics: A weakly nonlinear analysis, J. Fluid Mech. 837, 788 (2018).
  23. F. Viola and F. Gallaire, A theoretical framework to analyze the combined effect of surface tension and viscosity on the damping rate of sloshing waves, Phys. Rev. Fluids 3, 094801 (2018).
  24. J. E. Weber, Wave attenuation and wave drift in the Marginal Ice Zone, J. Phys. Oceanogr. 17, 2351 (1987).
  25. G. Sutherland, T. Halsne, J. Rabault, and A. Jensen, The attenuation of monochromatic surface waves due to the presence of an inextensible cover, Wave Motion 68, 88 (2017).
  26. P. Wadhams, Attenuation of swell by sea ice, J. Geophys. Res. 78, 3552 (1973).
  27. V. A. Squire, J. P. Dugan, P. Wadhams, P. J. Rottier, and A. K. Liu, Of ocean waves and sea ice, Annu. Rev. Fluid Mech. 27, 115 (1995).
  28. F. Arduin, P. Sutherland, M. Doble, and P. Wadhams, Ocean waves across the Arctic: Attenuation due to dissipation dominates over scattering for periods longer than 19s, Geophys. Res. Lett. 43, 5775 (2016).
  29. M. Gaster, A note on the relation between temporally-increasing and spatially-increasing distubances in hydrodynamic stability, J. Fluid Mech. 14, 222 (1962).

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Phys. Rev. Fluids 4, 014804– Published 15 January, 2019
  • Received 26 August 2018
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