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TECHNICAL PAPERS

Scaling Effect on Prediction of Cavitation Inception in a Line Vortex Flow

[+] Author and Article Information
Chao-Tsung Hsiao, Georges L. Chahine

Dynaflow, Inc., 10621-J Iron Bridge Road, Jessup, MD 20794e-mail: info@dynaflow-inc.com

Han-Lieh Liu

U.S. Patent and Trademark Office, Crystal Plaza 3, Room 2C02, Washington, DC 20231

J. Fluids Eng 125(1), 53-60 (Jan 22, 2003) (8 pages) doi:10.1115/1.1521956 History: Received May 18, 2001; Revised July 01, 2002; Online January 22, 2003
Copyright © 2003 by ASME
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References

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Arndt, R. E., and Dugue, C., 1992, “Recent Advances in Tip Vortex Cavitation Research,” Proc. International Symposium on Propulsors Cavitation, Hamburg, Germany, pp. 142–149.
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Arndt,  R. E., and Keller,  A. P., 1992, “Water Quality Effects on Cavitation Inception in a Trailing Vortex,” ASME J. Fluids Eng., 114, pp. 430–438.
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Hsiao,  C.-T., and Pauley,  L. L., 1999, “Study of Tip Vortex Cavitation Inception Using Navier-Stokes Computation and Bubble Dynamics Model,” ASME J. Fluids Eng., 121, pp. 198–204.
Abbott I. H., and Doenhoff, A. E., 1959, Theory of Wing Sections, Dover, New York.
Plesset,  M. S., 1948, “Dynamics of Cavitation Bubbles,” ASME J. Appl. Mech., 16, pp. 228–231.
Hsiao, C.-T., Chahine, G. L., and Liu, H. L., 2000, “Scaling Effects on Bubble Dynamics in a Tip Vortex Flow: Prediction of Cavitation Inception and Noise,” Technical Report 98007-1NSWC, Dynaflow, Inc., Jessup, MD.
Johnson, V. E., and Hsieh, T., 1966, “The Influence of the Trajectories of Gas Nuclei on Cavitation Inception,” 6th Symposium on Naval Hydrodynamics, National Academy Press, Washington, DC, pp. 163–179.
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Hsiao, C.-T., and Chahine, G. L., 2002, “Prediction of Vortex Cavitation Inception Using Coupled Spherical and Non-Spherical Models and UnRANS Computations” 24th Symposium on Naval Hydrodynamics, Fukuyoka, Japan, National Academy Press, Washington, DC.
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Figures

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Bubble radius and acoustic pressure versus time obtained by the modified SAP Rayleigh-Plesset equation for the small scale with R0=50 μm at σ=4.471
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Maximum SPL and bubble radius versus cavitation number for the medium scale test in the constant vortex core case
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Diffusion of the vortex core through increase of its radius along the longitudinal direction
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Bubble radius and resulting acoustic pressure versus time for the small scale with R0=50 μm at σ=4.471 in a diffusive line vortex
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Bubble radius and resulting acoustic pressure versus time for the small scale with R0=50 μm at σ=4.471 in a diffusive line vortex when the slip velocity effect is neglected
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Maximum SPL and bubble radius versus cavitation number for small and medium scales in the diffusive vortex core case
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The normalized curves of the ratio of maximum radius versus cavitation number for three different scale ratio and three different initial bubble size
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Comparison of the amplitude spectra of the acoustic pressure generated in a constant and a diffusive vortex core for R0=50 μm in the small scale
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Amplitude spectrum for various initial nuclei sizes in the small scale
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Correspondence between acoustic signals and the peak frequencies in the Fourier spectrum for R0=50 μm and σ=4.471 in the small scale
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Wavelet transform and Hilbert transform for R0=50 μm and σ=4.471 in the small scale
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Bubble radius, encounter pressure and frequency obtained using Eq. (16) versus time for R0=50 μm and σ=4.471 in the small scale
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Normalized amplitude spectra for various initial bubble radii in the large scale
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Bubble radius versus time at different cavitation number obtained by the classical Rayleigh-Plesset equation for the small scale with R0=50 μm
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Bubble radius and resulting acoustic pressure versus time for the small scale with R0=100 and 200 μm at σ=4.471 in a diffusive line vortex

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