Abstract
Streamlines are significantly bent over and concentrated around diversion and intake works, which frequently brings spatial acceleration of fluid motion. A proper design of the diversion and intake structures is necessary in order to minimize flow acceleration and to prevent local scouring around the works. In this study, a three dimensional potential flow analysis was carried out in order to obtain a strict analytical solution of flow in which the water is laterally withdrawn and diverted from a straight channel with rectangular cross section. Since the momentum principle is absent in the present analysis, applicability of the solution is limited in a case when hydraulic gradient and eddy viscosity are negligibly smaller than the inertial force. Nevertheless, the potential flow analysis provides the first-order approximation for diversion and intake flows, which helps engineers for determining hydraulic conditions for detailed investigation by strict three dimensional dynamic models or laboratory experiments.
