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TECHNICAL PAPERS

Stability Analysis of One-Dimensional Steady Cavitating Nozzle Flows With Bubble Size Distribution

[+] Author and Article Information
Yi-Chun Wang

Department of Mechanical Engineering, National Cheng Kung University, Tainan 701, Taiwan

J. Fluids Eng 122(2), 425-430 (Dec 20, 1999) (6 pages) doi:10.1115/1.483273 History: Received April 12, 1999; Revised December 20, 1999
Copyright © 2000 by ASME
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References

Wang,  Y.-C., and Brennen,  C. E., 1998, “One-Dimensional Bubbly Cavitating Flows Through a Converging-Diverging Nozzle,” ASME J. Fluids Eng., 120, pp. 166–170.
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van Wijngaarden,  L., 1972, “One-Dimensional Flow of Liquids Containing Small Gas Bubbles,” Annu. Rev. Fluid Mech., 4, pp. 369–396.
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Figures

Grahic Jump Location
Notation for bubbly liquid flow in a converging-diverging nozzle
Grahic Jump Location
The fluid velocity distribution as a function of the normalized position in the flow for four different upstream void fractions. Equilibrium sizes of the upstream nuclei are in the range of [Rs MIN*,Rs MAX*]=[10,200] μm and Rs*=10 μm for the case of single bubble size. Labels of αsb and αsb+ correspond to αs just below and above the value of αb≈17.86×10−6. The various parameters are L=900, σ=0.85, CP MIN=−1.0. The critical fluid velocity which activates the flashing instability is labeled as uc.
Grahic Jump Location
The fluid pressure coefficient corresponding to Fig. 2
Grahic Jump Location
The void fraction distribution corresponding to Fig. 2
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The fluid energy density distribution corresponding to Fig. 2
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Schematic of f(x)=(1−αs)/(1−α(x)), for 0≤x≤xc
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Schematic of bubble growth through a low-pressure region
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Stable and unstable radius distributions for bubbles of three selected equilibrium sizes. Same parameters as Fig. 2 with αsb (solid line) and αsb+ (dashed line).
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Comparison of three numerically calculated f(x) and that given by Eq. (13). Same parameters as Fig. 2.

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