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LINEARIZED THEORY FOR A SUPERCAVITATING HYDROFOIL OPERATING IN A FLUID OF FINITE DEPTH,
HYDRONAUTICS INC LAUREL MD
The study applies linearized theory to a two dimensional, uniform, supercavitating flow passing over a hydrofoil operating near the surface of a fluid of finite depth. The problem is formulated in the region of the lower half of a transformed plane, and the formulation is applicable to foils of any shape within the scope of the linearized theory and of any location between the free surface and the bottom of the channel. For the case of a flat plate the solution is obtained in terms of Legendre elliptic integrals. Numerical calculations are made for the lift and moment coefficients of the foil immersed at several different distances under the free surface with varying water depths. Author