Flow Through Spillway Flip Bucket

This paper presents two separate solutions for potential flow through circular spillway buckets. The first solution, which considers gravity effects, employs finite difference equations in combination with a successive approximation procedure in order to satisfy the Laplace equation and the boundary conditions. The second solution, which neglects gravity effects, employs a perturbation expansion in combination with conformal mapping and analytical continuation. The two solutions are compared, and recommendations are made for their application.