Flow on an inclined open channel

Abstract

Fluid flow on an inclined channel is considered. The effect of gravity and the friction of the fluid to the bottom wall is included in the model, so that we have a system of partial differential equations of fluid depth and averaged depth velocity. From the balancing between those two forces, the model is derived and is then solved analytically for kinematic wave and numerically. Both types of solution can be compared, and the kinematic wave is a special case of the numerical solution, i.e. for Froude number 2 F  .