X1-106 (2015/02/20)
The stationary shape of the surface of a moving fluid
An ideal incompressible fluid is studied, which is moving in a canal. If the depth of the canal is not uniform, the movement of the fluid changes the free surface of the fluid from a horizontal state. The shape of this surface in the stationary state is obtained, in terms of the shape of the bottom of the canal, and the speed of the flow.