Free-Surface Flow Under a Sluice Gate from Deep Water

Fully nonlinear solutions of free surface flow under a sluice gate are presented in this paper. The fluid upstream is assumed to be infinite in depth, and it flows under the gate forming a uniform stream far downstream. The problem is solved numerically by a boundary element method derived from the integral equation along the free surface. The numerical procedure is able to obtain solutions for upstream Froude number F≥0.192. A free surface with back flow near the edge of the gate is indicated for F≤0.317. As the limiting case, free surface flow with a stagnation point at the edge of the gate can be computed for F=0.192.