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TECHNICAL PAPERS

High Reynolds Number, Unsteady, Multiphase CFD Modeling of Cavitating Flows

[+] Author and Article Information
Jules W. Lindau, Robert F. Kunz, David A. Boger, David R. Stinebring, Howard J. Gibeling

Penn State Applied Research Laboratory, University Park, PA 16802

J. Fluids Eng 124(3), 607-616 (Aug 19, 2002) (10 pages) doi:10.1115/1.1487360 History: Received August 11, 2000; Revised March 04, 2002; Online August 19, 2002
Copyright © 2002 by ASME
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References

Figures

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Comparison of effect of rate constants (Eq. 3) and experimental data 6 for naturally cavitating flow over a hemispherical head and cylindrical afterbody. Steady-state results.
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Spectral comparison of effect of physical integration time step size on Cd history. UNCLE-M result. Flow over a hemispherical forebody with cylindrical afterbody. ReD=1.36×105.σ=0.3.
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Comparison of predicted surface pressure distributions for naturally cavitating axisymmetric flow over a conical cavitator with cylindrical afterbody, σ=0.3. Coarse (65×17), medium (129×33) and fine (257×65) mesh solutions are plotted.
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Computational result. Unsteady, naturally cavitating, two-dimensional flow. ReL=7.1×105 (based on cavity length). Modeling of a two-dimensional cavitation tunnel 67, (a) Grid with every 4th point shown; (b) mean liquid volume fraction; red, αl>0.995; blue, αl<0.005; (c) RMS fluctuating component of liquid volume fraction; red indicates a value of 0.5 or greater; blue indicates negligible fluctuating component.
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Comparison of modeled, unsteady cavitating flow to measurements at five horizontal stations 6. y, vertical distance from wall. x, horizontal distance downstream of throat. (a) Mean vapor volume fraction (αν); (b) fluctuating RMS vapor volume fraction; (At each station, solid line indicates 0 and dashed line indicates 0.5.) (c) mean horizontal velocity; (d) fluctuating RMS horizontal velocity. (Horizontal bars at stations indicate 12 m/s, the approximate free stream velocity).
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Modeled flow over a 0-caliber ogive. Liquid volume fraction contours (red, αl>0.995; blue, αl<0.005) and corresponding drag history. UNCLE-M result. σ=0.3.ReD=1.46×105.D/U=0.146(s), physical time step, Δt=0.001(s).
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Snapshot of modeled flow over a 0-caliber ogive. Liquid volume fraction contours (red, αl>0.995; blue, αl<0.005) and selected streamlines. UNCLE-M result. σ=0.3.ReD=1.46×105.
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Model time record of drag coefficient for flow over a 0-caliber ogive at ReD=1.46×105 and σ=0.3. In model units, D/U=0.146(s), physical time step, Δt=0.001(s).
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UNCLE-M result. 0-caliber ogive at ReD=1.46×105 and σ=0.3. Power spectral density function with 50% confidence intervals shown.
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Liquid volume fraction contours (red, αl>0.995; blue, αl<0.005). Modeled flow over a hemispherical forebody and cylinder. UNCLE-M result. σ=0.2,ReD=1.36×105.
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Unsteady drag coefficient. Flow over a hemispherical forebody and cylinder. UNCLE-M result. σ=0.2,ReD=1.36×105. In model units, D/U=0.136(s), physical time step, Δt=0.001(s).
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Axisymmetric vaporous cavitators. Strouhal frequency and cavitation number. UNCLE-M axisymmetric results (open symbols) and data 8.
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Blunt cavitator at zero angle-of-attack: (a) In water tunnel at σ=0.3511; (b) model result from UNCLE-M at σ=0.4. Isosurface (translucent) at αl=0.5. Selected (instantaneous) streamlines. Surface of cylinder colored by αl (red, αl>0.995; blue, αl<0.005).
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Profile drag, Cd, history spanning an approximate model cycle. Dimensionless time [tU/D]. Modeled vaporous cavity flow over a blunt cylinder, σ=0.275.
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Snapshots of modeled vaporous cavitation. σ=0.275. Translucent isosurface at αl=0.5. Surface of cylinder colored by pressure.
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Cavity cycling frequency versus cavitation number. Vaporous cavitation over blunt cylinder. Comparison of experimental 8, model axisymmetric, and model three-dimensional results.
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Flow over a 0-caliber cavitator (s/D=arc length over diameter). Averaged unsteady pressure computations and measured data 4.
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Flow over a hemispherical cavitator (s/D=arc length over diameter). Averaged unsteady pressure computations and measured data 4.
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Flow over a conical cavitator (s/D=arc length over diameter). Averaged unsteady pressure computations and measured data 4.
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Dimensionless drag to bubble length parameter and cavitation number. Flow over axisymmetric cavitators. Arithmetically averaged, unsteady UNCLE-M results and data 9.
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Cavity fineness ratio and cavitation index. Flow over axisymmetric cavitators. Arithmetically averaged, unsteady, UNCLE-M results and data 9.
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Elements of 3-D unsteady simulation of proscribed maneuver of a notional high speed supercavitating vehicle (a) View of geometry; (b–h) cavity surface shape vs. time as indicated by isosurface of αl=0.5; (i) proscribed angle-of-attack and lift history vs. time.

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