Abstract

The solution to the problem of cavitating flow of an ideal fluid over a wedge is represented in explicit form in terms of the Gauss and Appell hypergeometric functions for a number of classical cavity closure models. A numerical implementation of the solution is described in detail. Asymptotic representations of the drag coefficient \({{{\mathbf{C}}}_{x}}\) and the cavity sizes as the cavitation number tends to zero are obtained.

中文翻译：

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楔形空化流的解析解。一世

摘要

根据多种经典型腔封闭模型的高斯和阿佩尔超几何函数，以明确的形式表示了使理想流体流过楔形的问题。详细描述了该解决方案的数字实现。获得了空化数趋于零时的阻力系数\（{{{\ mathbf {C}}} _ {x}} \）和空腔尺寸的渐近表示。