You are a hydraulic engineer assigned with a task to construct a dam

Question: You are a hydraulic engineer assigned with a task to construct a dam for water supply purpose. The section of the river where the dam will be located has a rectangular cross section 5 m wide and slope of 0.0002 m/m. The rate of flow in the river is 8.75 $m^3/s$. The dam will be built across the river section at downstream, causing the water surface to rise 2.5 m just before the dam. Estimate what will happen to the water surface profile upstream of the dam to a point where $y = y_n \pm 0.1$ m. Also sketch the flow profile for the river. (Assume n=0.015)

Solution: