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TECHNICAL PAPERS

Measurement of the Bubbly Flow Beneath Partial Attached Cavities Using Electrical Impedance Probes

[+] Author and Article Information
Darin L. George, Claudia O. Iyer, Steven L. Ceccio

Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2121

J. Fluids Eng 122(1), 151-155 (Oct 12, 1999) (5 pages) doi:10.1115/1.483237 History: Received August 21, 1998; Revised October 12, 1999
Copyright © 2000 by ASME
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References

Brennen, C. E., 1995, Cavitation and Bubble Dynamics, Oxford University Press, New York, NY.
Franc, J. P., Avellan, F., Belahadji, B., Billard, J. Y., Briançon-Marjollet, L., Fréchou, D., Fruman, D. H., Karimi, A., Kueny, J. L., and Michel, J.-M., 1995, La Cavitation, Mécanismes Physiques et Aspects Industriels, Presses Universitaires de Grenoble, Collection Grenoble Science.
Knapp, R. T., Daily, J. W., and Hammit, F. G., 1970, Cavitation, McGraw-Hill, New York.
Furness,  R. A., and Hutton,  S. P., 1975, “Experimental and Theoretical Studies of Two-Dimensional Fixed-Type Cavities,” ASME J. Fluids Eng., 97, pp. 515–522.
Le,  Q., Franc,  J. P., and Michel,  J. M., 1993, “Partial Cavities: Global Behavior and Mean Pressure Distribution,” ASME J. Fluids Eng., 115, pp. 243–248.
Le,  Q., Franc,  J. P., and Michel,  J. M., 1993, “Partial Cavities: Pressure Pulse Distribution Around Cavity Closure,” ASME J. Fluids Eng., 115, pp. 249–254.
de Lange, D. F., 1996, “Observation and Modeling of Cloud Cavitation Behind a Sheet Cavity,” Ph.D. thesis, University of Twente, The Netherlands.
Pham, T. M., Larrarte, F., and Fruman, D. H., 1998, “Investigation of Unstable Cloud Cavitation,” Proceedings of the Third International Symposium on Cavitation, J. M. Michel and H. Kato. eds., published by Laboratorie des Ecoulements Géophysiques et Industriels, Grenoble, France, pp. 215–220.
Callenaera, M., Franc, J. P., and Michel, J.-M., 1998, “Influence of Cavity Thickness and Pressure Gradient on the Unsteady Behavior of Partial Cavities,” Proceedings of the Third International Symposium on Cavitation, J. M. Michel and H. Kato, eds., published by Laboratorie des Ecoulements Géophysiques et Industriels, Grenoble, France, pp. 209–214.
Kawanami,  Y., Kato,  H., Yamaguchi,  H., Tanimura,  M., and Tagaya,  Y., 1997, “Mechanisms and Control of Cloud Cavitation,” ASME J. Fluids Eng., 119, pp. 788–795.
Franc, J. P., 1998, private communication.
Ceccio, S. L., and George, D. L., 1997, “An Electrical Impedance Method for Measurements of Attached Cavitation,” Proceedings of the 1997 ASME International Mechanical Engineering Conference and Exposition, FED-Vol. 244, pp. 338–345.
George, D. L., and Ceccio, S. L., 1995, “Cavitation and Multiphase Flow Laboratory at the University of Michigan,” Proceedings of the Twenty-Fourth American Towing Tank Conference, P. Johnson, ed., published by Iowa Institute of Hydraulic Research, University of Iowa, Iowa City, pp. 1–9.
Ceccio,  S. L., and George,  D. L., 1996, “A Review of Electrical Impedance Techniques for the Measurement of Multiphase Flows,” ASME J. Fluids Eng., 118, pp. 391–399.
Bendat, J. S., and Piersol, A. G., 1986, Random Data, Wiley, New York, NY.
Laberteaux, K. R., and Ceccio, S. L., 1998, “Partial Attached Cavitation on Two- and Three-Dimensional Hydrofoils,” Proceedings of the Twenty Second Symposium on Naval Hydrodynamics, Washington, DC.
Kawanami, Y., Kato, H., and Yamaguchi, H., 1998, “Three-Dimensional Characteristics of the Cavities Formed on a Two-Dimensional Hydrofoil,” Proceedings of the Third International Symposium on Cavitation, J. M. Michel amd H. Kato, ed., published by Laboratoire des Ecoulements Géophysiques et Industriels, Grenoble, France, pp. 191–196.

Figures

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Schematic diagram of the hydrofoil section. The foil surfaces are portions of a 7:1 ellipse. The positions of the electrode pairs are shown.
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Typical voltage traces from the electrode pairs. The voltage from the first through eighth pairs are shown over a time span of 1.4 s. The signal output scale is arbitrary, and the signals are scaled to have the same span. The cavity closure was near the 12th electrode pair.
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The nondimensionalized mean cavity length Lc/c plotted against cavitation number σ
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The nondimensionalized maximum cavity thickness e/c versus nondimensionalized cavity length Lc/c
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Examples of Rx,y(τ) for a partial cavity with a mean length, the Lc/c=0.36 at σ=3 deg. Typical correlations are shown for R1,2(τ),R2,3(τ),R3,4(τ),R4,5(τ),R5,6(τ),R6,7(τ),R7,8(τ), where the subscripts represent the particular electrode pairs which were correlated. The range −0.005<τ<0.05 is shown. The mean position of cavity closure was near the fourth electrode pair.
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The near-surface gas-phase velocity derived from cross-correlating surface electrode data for a cavity with Lc/c=0.36 at α=3 deg. The cross marks the position of mean cavity closure.
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The near-surface gas-phase velocity derived from cross-correlating surface electrode data for a cavity with mean Lc/c=0.36 (a), 0.50 (b), 0.63 (c), and maximum Lc/c=1 (d) at α=2 deg. The cross marks the position of mean cavity closures.
Grahic Jump Location
The near-surface gas-phase velocity derived from cross-correlating surface electrode data for a cavity with mean Lc/c=0.36 (a), 0.50 (b), 0.63 (c), and maximum Lc/c=1 (d) at α=5 deg. The cross marks the position of mean cavity closures.

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