A continuum bubbly mixture model coupled to the Rayleigh-Plesset equation for the bubble dynamics is employed to study one-dimensional steady bubbly cavitating flows through a converging-diverging nozzle. A distribution of nuclei sizes is specified upstream of the nozzle, and the upstream cavitation number and nozzle contraction are chosen so that cavitation occurs in the flow. The computational results show very strong interactions between cavitating bubbles and the flow. The bubble size distribution may have significant effects on the flow; it is shown that it reduces the level of fluctuations and therefore reduces the “cavitation loss” compared to a monodisperse distribution. Another interesting interaction effect is that flashing instability occurs as the flow reaches a critical state downstream of the nozzle. A stability analysis is proposed to predict the critical flow variables. Excellent agreement is obtained between the analytical and numerical results for flows of both equal bubble size and multiple bubble sizes. [S0098-2202(00)00702-1]
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June 2000
Technical Papers
Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution
Yi-Chun Wang, Assistant Professor,
Yi-Chun Wang, Assistant Professor,
Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan
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Yi-Chun Wang, Assistant Professor,
Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan
Contributed by the Fluids Engineering Division for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received by the Fluids Engineering Division April 12, 1999; revised manuscript received December 20, 1999. Associate Technical Editor: J. K. Eaton.
J. Fluids Eng. Jun 2000, 122(2): 425-430 (6 pages)
Published Online: December 20, 1999
Article history
Received:
April 12, 1999
Revised:
December 20, 1999
Citation
Wang, Y. (December 20, 1999). "Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution ." ASME. J. Fluids Eng. June 2000; 122(2): 425–430. https://doi.org/10.1115/1.483273
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