Abstract
A theoretical analysis of the steady finite cavity flow around a thin plane hydrofoil with a thin jet flap is presented. Distributions of sources and vorticies are used to obtain a governing equation of this cavity flow. The resulting equation is solved by the method of matched asymptotic expansions for small value of the jetmomentum coefficient. Using the present method, there are three cavity models around conventional hydrofoils: open model; closed; and semiclosed models. It is found that the open cavity model is reasonable from a theoretical viewpoint and other cavity models are unreasonable.
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