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TECHNICAL PAPERS

Theoretical Analysis of Transitional and Partial Cavity Instabilities

[+] Author and Article Information
Satoshi Watanabe

Faculty of Engineering, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japane-mail: fmnabe@mech.kyushu-u.ac.jp

Yoshinobu Tsujimoto

Graduate School of Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka 560-8581, Japane-mail: tujimoto@me.es.osaka-u.ac.jp

Akinori Furukawa

Faculty of Engineering, Kyushu University, 6-10-1 Hakozaki, Higashi-ku, Fukuoka 812-8581, Japane-mail: fmfuru@mech.kyushu-u.ac.jp

J. Fluids Eng 123(3), 692-697 (Mar 30, 2001) (6 pages) doi:10.1115/1.1378295 History: Received November 15, 2000; Revised March 30, 2001
Copyright © 2001 by ASME
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References

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Le,  Q., Franc,  J. P., and Michel,  J. M., 1993, “Partial Cavities: Global and Mean Pressure Distribution,” ASME J. Fluids Eng., 115, pp. 243–248.
Arndt, R. E. A., Song, C. C. S., Kjeldsen, M., He, J., and Keller, A., 2000, “Instability of Partial Cavitation: A Numerical/Experimental Approach,” Proceedings, 23rd Symposium on Naval Hydrodynamics, Val de Reuli.
Sato,  K., Tanada,  M., Monden,  S., and Tsujimoto,  Y., 1999, “Observations of Oscillating Cavitation on a Flat Plate Hydrofoil,” (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. B, 65, No. 639, pp. 3659–3667.
Tulin M. P., and Hsu, C. C., 1980, “New Applications of Cavity Flow Theory,” Proceedings, 13th Symposium on Naval Hydrodynamics, pp. 107–131.
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Nishiyama,  T., and Shire,  M., 1985, “Self-Excited Oscillation of the Cavity on a Hydrofoil and Lift Fluctuation (Linear Analysis by a Singularity Method),” (in Japanese), Trans. Jpn. Soc. Mech. Eng., Ser. B, 59, No. 561, pp. 2796–2804.
Watanabe, S., Tsujimoto, Y., Franc, J. P., and Michel, J. M., 1998, “Linear Analysis of Cavitation Instabilities,” Proceedings, 3rd International Symposium on Cavitation, Vol. I , pp. 347–352.
Geurst,  J. A., 1959, “Linearized Theory for Partially Cavitated Hydrofoils,” International Shipbuilding Progress, 6, No. 60, pp. 369–384.
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Figures

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Cavity model in semi-infinite 2-D channel
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Steady cavity length and mean cavity length of present analysis
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Time histories of cavitation number at duct inlet, cavity length, cavity volume, and pressure coefficient for the case of step change in cavitation number from σ−L=0.523 to 0.530 at t=0
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Results of linearly decreasing cavitation number from σ−L=0.35 to 0.2 within t=0–30C/U. (a) Time histories of parameters; (b) limit cycle; (c) cavity shapes.
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Comparisons of Strouhal number between present study and experiments. (a) Present study; (b) experimental results; (c) amplitude of cavity length fluctuation.
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Results of stability analysis for various cavity lengths
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Comparisons of reduced frequency based on mean cavity length between present results and Mode I in Fig. 6

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