Analytical solution for the cavitating flow over a wedge. I

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.