Characteristics of bubble plumes, bubble-plume bubbles and waves from wind-steepened wave breaking

Observations of breaking waves, associated bubble plumes and bubble-plume size distributions were used to explore the coupled evolution of wave-breaking, wave properties and bubble-plume characteristics. Experiments were made in a large, freshwater, wind-wave channel with mechanical wind-steepened waves and a wind speed of 13 m s^− 1. Bubble plumes exhibited a wide range of bubble distributions, physical extent and dynamics. A classification scheme was developed based on plume extent and “optical density” which is the ability of a plume to optically obscure the image of the background until maximum penetration of the plume. Plumes were classified as either dense (obscure) or diffuse (no-obscure). For each class, the plume bubble population size distribution, Φ(r,t), where r is the bubble radius and t the time, was determined. Dense plumes have a large radius peak in Φ and thus are enhanced in large bubbles. Diffuse plumes are well-described by a weakly size decreasing Φ(r,t) for r < 1000 μm and a more strongly size decreasing Φ(r,t) for r > 1000 μm.The bubble-plume formation rate, P, for each class, wave-breaking rate and wave characteristics were measured with respect to fetch. Wave-breaking rate and intensity are strongly fetch-dependent. In general, the trends in P and wave breaking are similar, reaching a maximum at the fetch of maximum wave breaking. The ratio of P for dense to diffuse plumes is even more sensitive to the occurrence of the most intense wave breaking, where dense plume formation is the greatest.Using P and the bubble size population distributions for each plume class, the global bubble-plume, injection size distribution, Ψ_i(r), was calculated. The volume injection rate for the study area was 640 cm³ s^− 1 divided approximately equally between bubbles smaller and larger than r  1700 μm.