E. Lamarre et Wk. Melville, VOID-FRACTION MEASUREMENTS AND SOUND-SPEED FIELDS IN BUBBLE PLUMES GENERATED BY BREAKING WAVES, The Journal of the Acoustical Society of America, 95(3), 1994, pp. 1317-1328
Recent field and laboratory experiments have confirmed that low-freque
ncy sound (10 to 300 Hz) is generated under breaking waves. It has bee
n proposed that collective oscillations of the bubble plume generated
by breaking may be the mechanism responsible for the generation of thi
s sound. Confirmation of this process requires independent measurement
of the void fraction, and therefore sound speed, in the bubbly mixtur
e. Detailed measurements are presented of the evolution of the void-fr
action field in bubble plumes generated by large-scale three-dimension
al (3-D) laboratory breaking waves. Various moments of the void-fracti
on field are calculated and compared with results from two-dimensional
(2-D) laboratory breaking waves [Lamarre and Melville, Nature 351, 46
9-472 (1991)]. The kinematics of the bubble plume reveals that the ini
tial horizontal velocity of the plume is approximately 0.7C, where C i
s the wave phase speed. The centroid of the bubble plume is found to d
eepen at a speed of approximately 0.2H/T, where H and Tare the wave he
ight at breaking and the wave period, respectively. The radial depende
nce of the void-fraction and sound-speed field is characterized in ter
ms of simple functions of time. Finally, the void-fraction measurement
s described here, along with independent measurements of the pressure
fluctuations under breaking waves [Loewen and Melville, J. Acoust. Soc
. Am. 95, 1329-1343 (1994)], support the hypothesis that low-frequency
sound is generated by the collective oscillations of the bubble plume
.