An Experimental Investigation of Cavitation Inception and Development on a Two-Dimensional Eppler Hydrofoil

[+] Author and Article Information
J.-A. Astolfi, P. Dorange, J.-Y. Billard

Laboratoire d’Hydrodynamique de l’Ecole Navale, 29240 Brest-Naval, France

I. Cid Tomas

University of Valladolid, Valladolid, Spain

J. Fluids Eng 122(1), 164-173 (Oct 13, 1999) (10 pages) doi:10.1115/1.483239 History: Received March 06, 1998; Revised October 13, 1999
Copyright © 2000 by ASME
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Grahic Jump Location
E817 foll section and coordinate axis
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Theoretical cavitation bucket for the E817 foil 3
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Theoretical pressure coefficient for the E817 foil
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Profiles of the modulus of velocity U/U versus the normal direction to the suction side, from the leading edge up to the trailing edge: α=6 deg, Re=5×105. Filled symbols are data for which the vertical component was not measurable. Uncertainties: ΔU/U=±1.5 percent, Δα=±0.14 deg, Δn*=±0.0005.
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Profiles of U/Ue as a function of η=(n/x)Uex/v: α=6 deg, Re=5×105. Uncertainties: ΔU/U=±1.5 percent, Δα=±0.14 deg, Δn*=±0.0005.
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Velocity profiles at the leading edge for three angles of incidence, Re=5×105. Uncertainties: ΔU/U=±1.5 percent, Δα=±0.14 deg, Δn*=±0.0005.
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Velocity profile at the leading edge α=10 deg, Re=5×105. Uncertainties: ΔU/U=±1.5 percent, Δα=±0.14 deg, Δn*=±0.0005.
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Velocity vectors at the foil leading edge showing the separated flow, α=10 deg, Re=5×105. Uncertainties: ΔU/U=±1.5 percent, Δα=±0.14 deg, ΔX*=±0.0005,ΔY*=±0.0005.
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Experimental and numerical distributions of Cp along the suction side: (▵) experimental; (—) theoretical. (Δ)Cp/Cp=±3 percent, Δα=±0.14 deg, Δx*=±0.001.
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Isocontours of nondimensional spanwise vorticity, ωz*zclU, (computed from u and v velocity data): (a) α=6 deg, 8 deg and 10 deg; (b) α=10 deg in cavitating and noncavitating flow, (c) α=6 deg, in cavitating and noncavitating flow. The step between two curves is 20 for 10 deg and 5 for 6 deg. Re=5×105. Uncertainties ΔΩz*z*=±3 percent, Δα=±0.14 deg.
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Comparison between the cavitation number at inception and the minimum of the pressure coefficient obtained from experiments (Re=5×105) and potential theory, Δα=±0.14 deg, ΔCp/Cp=±3 percent, Δσi=±0.04.
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Acoustic method to determine the angle of cavitation inception for a given cavitation number. Uncertainties Δprms/prms=±0.05, Δα=±0.14 deg.
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Cavitation pattern on the E817 foil, Re=5×105.Δσ=±0.04, Δα=±0.14 deg.
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Example of image obtained from superposition of the surface foil trace image (noncavitating) together with the cavity image. Flow is from the right.
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Reduced length cavity as a function of σ/2α collected in the literature for various flow conditions (numerical or experimental) and foils together with the present results. α in radians, vertical bars correspond to the uncertainty range.
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Relative cavity lengths as a function of σ/2α,σ/2(α−αn) or σ/2(α−αi〈σ〉) in logarithmic coordinates. Plain lines correspond to power-law fits with m as the exponent. Angles in radians. Same uncertainties as Fig. 15.
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(a)–(b) Velocity profiles and (c)–(d) angles of the mean flow in the (X*,Y*) plane near the leading edge in noncavitating flow and slightly cavitating flow (α=6 deg and σ=2.45, α=10 deg and σ=3.25), Re=5×105.ΔU/U=±1.5 percent, Δα=±0.14 deg, Δn*=±0.0005.
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Isocontours of urms/U at the leading edge of the suction side in the plane (x*,n*) with and without cavitation: α=6 deg, Re=5×105. Interval between two lines is 0.05. Uncertainties Δurms/urms=±1.5 percent, Δα=±0.14 deg.




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