Abstract
A new nonlinear theory is proposed for two-dimensional flow around a body of an arbitrary shape with a finite cavity. The cavity wake is modelled through the concept of displacement thickness. This model of finite cavity flow is solved by making use of two conditions of momentum conservation, and some relations for cavity flow are shown. The flow around a curved body is systematically solved by expanding the shape of the wetted body surface into Fourier series and reducing the basic equations of the flow problem to a set of equations including Fourier integrals. Some computations for a circular-arc supercavitating hydrofoil are compared and shown to be in excellent agreement with experimental data.
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