Investigation of the Role of Polymer on the Delay of Tip Vortex Cavitation

[+] Author and Article Information
R. Latorre

Naval Architecture & Marine Engineering, University of New Orleans, LA 70148 USA

A. Muller, J. Y. Billard, A. Houlier

Hydrodynamic Laboratory, Ecole Navale, Brest, 29240 France

J. Fluids Eng 126(5), 724-729 (Dec 07, 2004) (6 pages) doi:10.1115/1.1792260 History: Received June 23, 1999; Revised April 29, 2004; Online December 07, 2004
Copyright © 2004 by ASME
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Fruman,  D., and Aflalo,  S., 1989, “Tip Vortex Cavitation Inhibition by Drag Reducing Polymer Solution,” ASME J. Fluids Eng., 111, pp. 211–216.
Fruman,  D. H., Pichon,  T., and Cerrutti,  P., 1995, “Effect of Drag-Reducing Polymer Solution Ejection on Tip Vortex Cavitation,” SNAJ J. Marine Sci. Technol.,1, pp. 13–23.
McCormick,  W. B., 1962, “On Cavitation Produced by a Vortex Trailing From a Lifting Surface,” ASME J. Basic Eng., 84, pp. 369–379.
Latorre,  R., 1980, “Study of Tip Vortex Cavitation Noise From Foils and Propellers,” Int. Shipbuilding Prog.,27, pp. 66–85.
Platzer, G. P., and Souders, W. G., 1981, “Tip Vortex Cavitation Characteristics-Delay on a Three Dimensional Hydrofoil,” Proc. 19th ATTC Meeting, Univ. of Michigan, Ann Arbor, pp. 989–1022.
Green, I., Acosta J., and Akbar, R., 1988, “The Influence of Tip Geometry on Trailing Vortex Roll-up and Cavitation,” Proceedings 1988 ASME Cavitation and Multiphase Flow Forum, FED 64, pp. 76–80.
Shima, A., and Tsujino, T., 1994, “The Dynamics of Cavity Clusters in Polymer Aqueous Solutions Subject to an Oscillating Pressure,” Proc. Bubble Dynamics and Interface Phenomena, Kluwer Academic Publications, Dordrecht, Netherlands, pp. 81–92.
Latorre,  R., and Ligneul,  P., 1993, “Acoustic Considerations in Tip Vortex Cavitation Inception,” Acustica, 79, pp. 266–273.
Levkovskii, Y. L., 1978, Structure of Cavitation Flows, Sudostroyeniye, Leningrad, pp. 153, 203 (in Russian).
Latorre,  R., and Ligneul,  P., 1989, “Study of the Capture Noise of Spherical Nuclei in the Presence of Tip Vortex of Hydrofoils and Propellers,” Acustica, 68, pp. 1–13.
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Delay of elliptical foil tip vortex calculation inception (foil details in Table 1) Re=106, polymer concentration: 1000 ppm, cavitation number uncertainty estimated to be <±2.5% 2.
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Foil geometry and simulated bubble trajectory radius Rt/R1 during bubble capture α=10 deg (case II in Table 2) σ=2.0
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Bubble radius and corresponding bubble capture noise (bubble is stable)
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Determination of the cavitation noise inception using background noise and the simulated bubble capture noise (±2.0% numerical accuracy) for a given cavitation number σ=2.0
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Change of bubble stability bounding Δσ by introduction of lower surface tension from polymer solution (numerical uncertanty estimated to be <±1.25%)
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Comparison of tip vortex cavitation inception σI from simulations with measurements of Fruman et al. 2 (experimental cavitation number uncertainty estimated to be <±2.5%; numerical uncertainty estimated to be <±1.25%)




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