d'Agostino, L. and Brennen, C. E. (1983) On the Acoustical Dynamics of Bubble Clouds. In: Cavitation and Multiphase Flow Forum--1983 : presented at the Applied Mechanics, Bioengineering, and Fluids Engineering Conference, Houston, Texas, June 20-22, 1983. Fluids Engineering Division. Vol.FED-2. No.2. American Society of Mechanical Engineers , New York, pp. 72-75. http://resolver.caltech.edu/CaltechAUTHORS:DAGasmecmff83
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Recently, Morch [1,2,3,4] Chahine [5,6] and others have focused attention on the dynamics of a cloud or cluster of cavitating bubbles and have expanded on the work of van Wijngaarden [7,8] and others. Unfortunately, there appear to be a number of inconsistencies in this recent work which will require further study before a coherent body of knowledge on the dynamics of clouds of bubbles is established. For example, Morch and his co-workers [1,2,3] have visualized the collapse of a cloud of cavitating bubbles as involving the inward propagation of a shock wave; it is assumed that the bubbles collapse virtually completely when they encounter the shock. This implies the virtual absense of non-condensable gas in the bubbles and the predominance of vapor. Yet in these circumstances the mixture in the the cloud will not have any real sonic speed. As implied by a negative L.H.S. of equation (9), the fluid motion equations for the mixture would be elliptic not hyperbolic and hence shock wave solutions are inappropriate.
|Item Type:||Book Section|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Christopher Brennen|
|Deposited On:||10 Dec 2004|
|Last Modified:||26 Dec 2012 08:39|
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