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TECHNICAL PAPERS

Evaluation of the Turbulence Model Influence on the Numerical Simulations of Unsteady Cavitation

[+] Author and Article Information
O. Coutier-Delgosha, R. Fortes-Patella

LEGI-INPG, BP 53, 38041 Grenoble Cedex 9, France

J. L. Reboud

ENISE-LTDS, 58, rue Jean Parot, 42023 St. Etienne, France

J. Fluids Eng 125(1), 38-45 (Jan 22, 2003) (8 pages) doi:10.1115/1.1524584 History: Received August 07, 2001; Revised May 06, 2002; Online January 22, 2003
Copyright © 2003 by ASME
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References

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Merkle, C. L., Feng, J., and Buelow, P. E. O., 1998, “Computational Modeling of the Dynamics of Sheet Cavitation,” 3rd Int. Symp. on Cavitation, J. M. Michel and H. Kato, eds., Grenoble, France, pp. 307–313.
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Reboud, J. L., and Delannoy, Y., 1994, “Two-Phase Flow Modeling of Unsteady Cavitation”, 2nd Int. Symp. on Cavitation, Tokyo.
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Coutier-Delgosha, O., Reboud, J. L., and Delannoy, Y., “Numerical Simulations in Unsteady Cavitating Flows,” submitted to the Int. J. Numer. Methods Fluids.
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Coutier-Delgosha, O., Reboud, J. L., and Albano, G., 2000, “Numerical Simulation of the Unsteady Cavitation Behavior of an Inducer Blade Cascade,” Proceedings of ASME FEDSM00, ASME, New York.
Lorberg, H., Stoffel, B., Fortes-Patella, R., Coutier-Delgosha, O., and Reboud, J. L., 2002, “Numerical and Experimental Investigations on the Cavitating Flow in a Cascade of Hydrofoils,” Exp. Fluids, accepted for publication.
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Figures

Grahic Jump Location
Barotropic state law ρ(P). Water 20°C.
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(a) Curvilinear-orthogonal mesh of the Venturi-type section (160×50 cells). Lref=224 mm. (b) Zoom in the throat region.
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Time evolution of the cavity length. The time is reported in abscissa, and the X position in the tunnel of cavitation is graduated in ordinate. The colors represent the density values: white for the pure liquid one and from red to dark blue for the vapor one. At a given point in time and position, the color indicates the minimum density in the corresponding cross section of the cavitation tunnel. Calculation conditions: σ≈2.4; Vref=7.2 m/s; mesh=160×50-time-step Δt=0.005Tref(Tref=Lref/Vref).
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Modification of the mixture viscosity (n=10)
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Transient evolution of unsteady cavitating flow in the Venturi-type duct. (a) Temporal evolution (in abscissa) of the cavity length (graduated in ordinate). Instantaneous density distribution of attached and cloud cavities are drawn on the left at T=11Tref (velocity vectors are drawn only 1 cell over 2 in the two directions). (b) Time evolution of the upstream pressure.
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Unsteady cavitation behavior calculated with the k-ω model—(a) without and (b) with compressibility effects
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Time-averaged values and standard deviation of velocity (1,2) and void ratio (3,4). Numerical results: (a) modified k-ε, (b) compressible k-ω (lines) and optical probe measurements (points)—Vref=7.2 m/s. Mean cavity length 45 mm: dotted line=experimental external shape of the cavity, obtained from image processing (sigma=2.4).

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