Water flows through a 6 m wide unfinished rectangular concrete channel with a flowrate of 3 m3/s. Head loss can be considered negligible. Consider the following scenarios:
a. The channel is flowing at an upstream depth of 0.20 m when it encounters a 5 cm bump. What is the flow depth over the bump (y2)? Does the free surface elevation (y2+z2) rise or fall?
b. The channel is flowing at an upstream depth of 0.35 m when it encounters a 12 cm depression. What is the flow depth over the depression? Does the free surface elevation rise or fall?