Bubble Dynamics and Cavitation Inception Theory.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK APPLIED RESEARCH LAB
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In order to provide some theoretical background and to motivate the more refined theory introduced below, some encouraging known theoretical results on bubble ring captivation inception are reviewed. This review is followed by the development of the theory of bubble ring cavitation cutoff. Its outcome, when compared with experiment, shows the needs for a more refined inception theory. The above comparison and the basic ideas behind the cutoff theorys formulation suggest a possible approach for a refinement based on a multiple scales expansion. This seems reasonable because the forcing function pulse in laboratory time, t, varies slowly compared to the characteristic bubble time, tau, which characterizes the response time of a typical microscopic cavitation nucleus. The ratio of these two times gives us a small parameter epsilon, appearing in the forcing function, with the result that this problem involves only a soft excitation.
- Fluid Mechanics