Analytical Solution for the Cavitating Flow over a Wedge. II

This work continues previous studies of the authors and provides an analytical solution to the plane problem of symmetric cavitating flow of an ideal fluid over a wedge for Tulin’s cavity closure model with a double-spiral vortex. The solution is expressed in terms of the Lauricella hypergeometric function. A numerical implementation of the solution is described in detail, and an asymptotic analysis of the solution is given. The spiral structure of vortices closing the cavity is studied, and the vortex size is estimated. An asymptotic representation of the wake width as is found. Additionally, the asymptotics of the drag coefficient and the relative sizes of the cavity as the cavitation number tends to zero are established.