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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).
The monograph presents a comprehensive view of hydrofoil hydroelasticity. The field of unsteady hydrodynamics is reviewed for the subcavitating, cavitating, and ventilated flow regimes. Theoretical and experimental results for hydrofoil flutter and divergence are reviewed. The effects of the hydrodynamic and structural parameters in hydroelastic problems are discussed. An extensive bibliography is presented. (Author).