A NONLINEAR THEORY FOR FULLY CAVITATING FLOWS PAST AN INCLINED FLAT PLATE.
STANFORD UNIV CALIF DEPT OF CIVIL ENGINEERING
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The work considers a three-part sequence of problems in fully-cavitating flow theory which have practical applications in the design of hydrofoil vessels. In each problem a two-dimensional, inviscid, incompressible, irrotational flow is assumed. Results in each case include expressions for the physical-plane configuration and the lift and drag coefficients they are developed by using conformal mapping and the solution to a Riemann-Hilbert mixed-boundary-value problem in an auxiliary half plane. The first part develops a nonlinear solution for a flat plate in an infinite flow field with gravity neglected. The remaining two parts are extensions of part one to consider in one case the effect of a free surface above the hydrofoil, and in the other case, the effect of a transverse gravity field on the initial problem. The use of a digital computer to perform numerical integrations is a feature common to the solution of all three problems. The solution to the gravity-affected case was found from the nongravity solution via a rapidly convergent iteration process. The results in each case agree well with other nonlinear and linear solutions. Author
- Marine Engineering
- Fluid Mechanics