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One-Dimensional Bubbly Cavitating Flows Through a Converging-Diverging Nozzle

Wang, Yi-Chun and Brennen, C. E. (1998) One-Dimensional Bubbly Cavitating Flows Through a Converging-Diverging Nozzle. Journal of Fluids Engineering, 120 (1). pp. 166-170. ISSN 0098-2202. http://resolver.caltech.edu/CaltechAUTHORS:WNGjfe98

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Abstract

A nonbarotropic continuum bubbly mixture model is used to study the one-dimensional cavitating flow through a converging-diverging nozzle. The nonlinear dynamics of the cavitation bubbles are modeled by the Rayleigh-Plesset equation. Analytical results show that the bubble/bubble interaction through the hydrodynamics of the surrounding liquid has important effects on this confined flow field. One clear interaction effect is the Bernoulli effect caused by the growing and collapsing bubbles in the nozzle. It is found that the characteristics of the flow change dramatically even when the upstream void fraction is very small. Two different flow regimes are found from the steady state solutions and are termed: quasi-steady and quasi-unsteady. The former is characterized by large spatial fluctuations downstream of the throat which are induced by the pulsations of the cavitation bubbles. The quasi-unsteady solutions correspond to flashing flow. Bifurcation occurs as the flow transitions from one regime to the other. An analytical expression for the critical bubble size at the bifurcation is obtained. Physical reasons for this quasi-static instability are also discussed.


Item Type:Article
Additional Information:Contributed by the Fluids Engineering Division for publication in the Journal of Fluids Engineering. Manuscript received by the Fluids Engineering Division October 28, 1996; revised manuscript received May 6, 1997. The authors are very grateful for the support for this research provided by National Science Council, Taiwan, R.O.C., under Contract NSC86-2621-E006-039-T and by the Office of Naval Research under Contract N00014-91-J-1295.
Record Number:CaltechAUTHORS:WNGjfe98
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:WNGjfe98
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:174
Collection:CaltechAUTHORS
Deposited By: Christopher Brennen
Deposited On:09 Nov 2004
Last Modified:26 Dec 2012 08:39

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