An Approximate Numerical Scheme for the Theory of Cavity Flows Past Obstacles of Arbitrary Profile

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Abstract
Recently an exact theory for the cavity flow past an obstacle of arbitrary profile at an arbitrary cavitation number has been developed by adopting a free-streamline wake model. The analysis in this general case leads to a set of two functional equations for which several numerical methods have been devised. Some of these methods have already been successfully carried out for several typical cases on a high-speed electronic computer. In this paper an approximate numerical scheme, somewhat like an engineering principle, is introduced which greatly shortens the computation of the dual functional equations while still retaining a high degree of accuracy of the numerical result. With such drastic simplification, it becomes feasible to carry out this approximate numerical scheme even with a hand-computing machine.

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