ON FINITE LENGTH CAVITIES BENEATH A FREE SURFACE
HYDRONAUTICS INC LAUREL MD
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The two-dimensional flow under a free surface with non-zero cavitation number is considered using a point drag cavity model. The drag coefficients obtained in closed form as a function of the cavitation number and the curvature at the cavity end or nose, but not explicitly of the depth. The thickness-length ratio of the cavity is calculated numerically and compared with the case of an elliptic cylinder under a free surface. The three-dimensional effect on the cavity is also considered by the approximation of the cavity to an ellipsoid. These results should be of use in the estimation of the shape of cavities behind ventilated hydrofoil wings and in the subsequent calculation of downwash.
- Fluid Mechanics