Scale Effect of Cavitation Inception on a 2D Eppler Hydrofoil

[+] Author and Article Information
E. L. Amromin

Mechmath LLC, Edmond, OK 73034e-mail: amromin@aol.com

J. Fluids Eng 124(1), 186-193 (Sep 13, 2001) (8 pages) doi:10.1115/1.1427689 History: Received November 09, 2000; Revised September 13, 2001
Copyright © 2002 by ASME
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Grahic Jump Location
Shape of hydrofoil E817
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Minimal pressure on E817 (♦) and NACA0012 (▪) in ideal fluid as function of α-α00=−4 degree for E817)
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Computed cavitation number as function of cavity length past disk. Author’s result (solid curve) is compared with Brennen’s 14 results (dashed curve)
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Sketch of partial cavity on a body in viscous fluid. Thin solid curve is body surface, thick solid curve is cavity surface. Boundary layer is limited by dashed curve, ▴-its separation section, ♦-its reattachment, ▪-XL.
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Cavity leading (bottom) and trailing (top) edge abscissas past axissymmetric ellipsoid (2x/C-1)2+(4y/C)2=1: ▴-observations 11; author’s computation for ideal fluid is shown by solid curves, for viscous fluid-by dashed curves
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Comparison of computed and measured 26 cavity length for ITTC-body. Solid curve shows computed L, ▴ and ▪ show minimal and maximal observed L.
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Comparison of L(σ) for EN-hydrofoil (α0=0) for α=4°. Solid curve-author’s computation, dashed curve-computation 21, ▴-measurements 20.
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Comparison of L(σ) for NACA-0010 hydrofoil (H=C, α=6.5 degree). Solid curve-author’s computation, dashed curve-computation 21, ▪-measurements 15.
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Cavitation inception number for body with semispherical head. Computed results are plotted by solid curve for body diameter D=0.05 m, by thick solid curve-for D=0.05 m and stimulated laminar-turbulent transition; by dashed curve-for D=0.02 m; by thick dashes-for D=0.4 m. Experimental data are shown: by ♦-for D=0.05 m 6; by ▪-for D=0.05 m and stimulated laminar-turbulent transition 28; by ▴-for D=0.4 m 27; by ×-for D=0.02 m 27.
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Computed dependencies σ1(α) for NACA-0012 hydrofoil in infinite flow: ♦-for ideal fluid curve-for FS (C=1 m, U=27 m/s), ▴-for MT (C=0.1 m, U=6.5 m/s)
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Cavitation inception number for E817 hydrofoil as function of the angle of attack. ▴-computation for ideal fluid with measured 3CL that implicitly (and incompletely) takes into account the wall influence on hydrofoil cavitation, ▪-computation for FS with measured 3CL, solid curve-computation for MT with CL (Re) and without an account of the wall effect, x-measured 4 data.
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Computed dependencies σI(CL) for E817 hydrofoil. Dashed curve relates to FS flow, solid curve-to MT.
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Computed cavity leading edges (solid curves) and trailing edges (dashed curves) on E817 hydrofoil at MT conditions (top; C=0.1 m and U=6.5 m/s) and FS conditions (bottom; C=1 m and U=27 m/s) for σ=σI
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Computed distribution Cp (dashed curve) and D * =100δ* (solid curve) on the pressure side of E817 hydrofoil at α=−6° for C=0.1 m and U=6.5 m/s
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Computed distribution of Cp (dashed curve) and D * =100δ* (solid curve) on the suction side of E817 hydrofoil with cavity of at α=4° for C=1 m and U=27 m/s
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Distributions of Cp in ideal fluid on NACA-0012 hydrofoil at α=4° (top) and on E817 at α=6° (middle) and at α=−6° (bottom)
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Error distributions along a axis-symmetric cavity affected by centrifugal force. Triangles corresponds to iteration number 10, curve to iteration number 30, squares to 90th iteration. Cavitator is located at x=15.



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