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Air Flow Structure Over Short-gravity Breaking Water Waves

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Abstract

Despite its importance for momentum and mass transfer across the air–sea interface, the dynamics of airflow over breaking waves is largely unknown. To fill this gap, velocity and vorticity distributions above short-gravity breaking waves have been measured in a wind-wave tank. A Digital Particle Image velocimetry technique (DPIV) was developed to accomplish these measurements above single breaking waves, propagating in mechanically-generated wave groups and forced by the wind. By varying the wind speed and initial characteristics of the groups, the airflow structure was captured over waves at different stages of the breaking process, and breaking with various intensities. The instantaneous airflow that separates from a sharp breaking crest is very similar to that occurring over a backward facing step. The separation bubble is however strongly unsteady: the steeper the wave crest and the larger the Reynolds number based on the crest-height, the higher the separated layer and the farther downwind the reattachment point. Instantaneous flow topology displays specific features of three-dimensional separation patterns. The tangential stress above the wave profile does not exhibit spikes at reattachment but grows progressively downwind from zero at reattachment to a value at the next crest approximately that found at the upwind breaking crest. Static pressure measurements revealed that large pressure falls are generated by vortices in the separated layer, as found in separated flows over solids. This study may provide useful data for theoretical and numerical modelling of the flow and associated phenomena.

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References

  • Agui JC and Jimenez J (1987). On the performance of particle tracking. J Fluid Mech 185: 447–468

    Article  Google Scholar 

  • Banner ML (1990). The influence of wave breaking on the surface pressure distribution in wind-wave interactions. J Fluid Mech 211: 463–495

    Article  Google Scholar 

  • Banner ML and Melville WK (1976). On the separation of air flow over water waves. J Fluid Mech 77: 825–842

    Article  Google Scholar 

  • Banner ML and Peirson WL (1998). Tangential stress beneath wind-driven air-water interfaces. J Fluid Mech 364: 115–145

    Article  Google Scholar 

  • Barnett TP and Kenyon KE (1975). Recent Advances in the Study of Wind Waves. Rep Prog Phys 38: 421–437

    Article  Google Scholar 

  • Belcher SE (1998). Turbulent flow over hills and waves. Ann Rev Fluid Mech 30: 507–538

    Article  Google Scholar 

  • Bonmarin P (1989). Geometric properties of deep-water breaking waves. J Fluid Mech 209: 405–433

    Article  Google Scholar 

  • Chang P, Plate EJ and Hidy GM (1971). Turbulent air flow over the dominant component of wind-generated water waves. J Fluid Mech 47: 183–208

    Article  Google Scholar 

  • Coantic M and Favre A (1974). Activities in and preliminary results of, air-sea interactions research at I.M.S.T. Adv Geophys 16: 391–405

    Google Scholar 

  • Dabiri D and Gharib M (1997). Experimental investigation of the vorticity generation within a spilling water wave. J Fluid Mech 330: 113–139

    Article  Google Scholar 

  • DeLeeuw G (1986). Vertical profiles of giant particles close above the sea surface. Tellus 38B: 51–61

    Google Scholar 

  • DeLeeuw G (1987). Near surface particle size distributions profiles over the North Sea. J Geophys Res 92: 14631–614635

    Google Scholar 

  • Doligalski TL, Smith CR and Walker JDA (1994). Vortex interactions with walls. Ann Rev Fluid Mech 26: 573–616

    Article  Google Scholar 

  • Donelan MA, Haus BK, Reul N, Plant WJ, Stiassnie M, Graber HC, Brown OB and Saltzman ES (2004). On the limiting aerodynamic roughness of the ocean in very strong winds. Geophys Res Lett 31: L18306 doi: 10.1029/2004GL019460

    Article  Google Scholar 

  • Drennan WM, Donelan MA (1996) Nonlinear coalescing wave groups. In: Donelan M, Hui W, Plant W (eds) The air-sea interface Miami, pp 127–132

  • Durst F, Melling A and Whitelaw JH (1981). Principles and practice of laser-doppler-anemometry. Academic Press, London, 437

    Google Scholar 

  • Fincham AM and Spedding GR (1997). Low cost, high resolution DPIV for measurement of turbulent fluid flow. Exp Fluids 23: 449–462

    Article  Google Scholar 

  • Gent PR and Taylor PA (1977). A note on separation over short wind waves. Boundary Layer Meteorol 11: 65–87

    Article  Google Scholar 

  • Giovanangeli JP (1988). A new method for measuring static pressure fluctuations with application to wind–wave interaction. Exp Fluids 6: 156–164

    Article  Google Scholar 

  • Griffin OM, Peltzer RD, Wang HT and Schultz WW (1996). Kinematic and dynamic evolution of deep water breaking waves. J Geophys Res 101: 16515–516531

    Article  Google Scholar 

  • Jeffreys H (1925). On the formation of water waves by wind. R Soc Lond Proc Ser A 107: 189–206

    Article  Google Scholar 

  • Kawai S (1981). Visualisation of air flow separation over wind wave crest under moderate wind. Boundary Layer Meteorol 20: 547–569

    Google Scholar 

  • Kawai S (1982). Structure of air flow separation over wind wave crest. Boundary Layer Meteorol 23: 503–521

    Article  Google Scholar 

  • Kawamura H and Toba Y (1988). Ordered motion in the turbulent boundary-layer over wind-waves. J Fluid Mech 197: 105–138

    Article  Google Scholar 

  • Keane RD and Adrian RJ (1992). Theory of cross-correlation analysis of PIV images. Appl Sci Res 49: 223–241

    Article  Google Scholar 

  • Kim BN and Chung MK (1995). Experimental study of roughness effects on the separated flow over a backward-facing step. AIAA J 33: 159–161

    Article  Google Scholar 

  • Koga M and Toba Y (1981). Droplet distributions and dispersion processes on breaking wind waves. Appl Sci Rep Tohoku Univ Ser5 (Tohoku Geophys J) 28: 1–25

    Google Scholar 

  • Kudryavtsev VN (2006). On the effect of sea drops on the atmospheric boundary layer. J Geophys Res 111: C07020 doi: 10.1029/2005JC002970

    Article  Google Scholar 

  • Kudryavtsev VN and Makin VK (2001). The impact of air-flow separation on the drag of the sea surface. Boundary-Layer Meteorol 98: 155–171

    Article  Google Scholar 

  • Kudryavtsev VN and Makin VK (2007). Aerodynamic roughness of the sea surface at high winds. Boundary-Layer Meteorol 125: 289–303 doi: 10.1007/s10546-007-9184-7

    Article  Google Scholar 

  • Longuet-Higgins MS, Smith ND (1986) Measurements of breaking waves. Implications for wind-stress and wave generation. In: Phillips OM, Hasselmann K (eds) Wave dynamics and radio probing of the sea surface. Inter-Union Commission on Reader Meteorology, Horwood Publishing, pp 257–264

  • Makin VK (1998). Air-sea exchange of heat in the presence of wind waves and spray. J Geophys Res 103: 1137–1152 doi: 10.1029/97JC02908

    Article  Google Scholar 

  • McIntyre ME (2003) Wind-generated water waves: two overlooked mechanisms? In: Sajjadi SG, Hunt JCR (eds) Wind over waves II: forecasting and fundamentals of applications. Horwood Publishing, pp 105–118.

  • Merzkirch W (1974). Flow visualization. Academic Press, New York, 266 pp

    Google Scholar 

  • Mestayer PG, Van-Eijk AMJ, Leeuw GD and Tranchant B (1996). Numerical simulation of the dynamics of sea sprays over the waves. J Geophys Res 101: 20771–720797

    Article  Google Scholar 

  • Perry AE and Chong MS (1987). A description of eddying motions and flow patterns using critical-point concepts. Ann Rev Fluid Mech 19: 125–155

    Article  Google Scholar 

  • Perry AE and Tan DKM (1984). Simple three-dimensional motions in coflowing jets and wakes. J Fluid Mech 141: 197–231

    Article  Google Scholar 

  • Pierson WJ, Donelan MA and Hui WH (1992). Linear and nonlinear propagation of water wave groups. J Geophys Res 97: 5607–5621

    Google Scholar 

  • Reul N (1998) Etude expérimentale de la structure de l’écoulement d’air au-dessus de vagues courtes déferlantes. PhD thesis, Université de la Méditerranée Aix-Marseille II ESM2, Marseille France.

  • Reul N, Branger H and Giovanangeli JP (1999). Air flow separation over unsteady breaking waves. Phys Fluids 11: 1959–1961 doi: 10.1063/1.870058

    Article  Google Scholar 

  • Saathoff PJ and Melbourne WH (1997). Effects of free-stream turbulence on surface pressure fluctuations in a separation bubble. J Fluid Mech 337: 1–24

    Article  Google Scholar 

  • Simpson RL (1989). Turbulent boundary-layer separation. Ann Rev Fluid Mech 21: 205–234

    Article  Google Scholar 

  • Spedding GR and Rignot EJM (1993). Performance analysis and application of grid interpolation techniques for fluid flows. Exp Fluids 15: 417–430

    Article  Google Scholar 

  • Tobak M and Peake DJ (1982). Topology of three-dimensional separated flows. Ann Rev Fluid Mech 14: 61–85

    Article  Google Scholar 

  • Touboul J, Giovanangeli J, Kharif C and Pelinovsky E (2006). Freak waves under the action of wind: experiments and simulations. Eur J Mech - B/Fluids 25(5): 662 doi: 10.1016/j.euromechflu.2006.02.006

    Article  Google Scholar 

  • Weissmann MA (1986) Observations and measurements of air flow over water waves .In: Phillips OM, Hasselmann K (eds) Wave dynamics and radio probing of the sea surface. chap 23, pp 335–352

  • Willert CE and Gharib M (1991). Digital particle image velocimetry. Exp Fluids 10: 181–193

    Article  Google Scholar 

  • Wu J (1969). A criterium for determining air-flow separation from wind-waves. Tellus 21: 707–713

    Article  Google Scholar 

Download references

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Correspondence to Nicolas Reul.

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Reul, N., Branger, H. & Giovanangeli, JP. Air Flow Structure Over Short-gravity Breaking Water Waves. Boundary-Layer Meteorol 126, 477–505 (2008). https://doi.org/10.1007/s10546-007-9240-3

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  • DOI: https://doi.org/10.1007/s10546-007-9240-3

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