Question 3 Water flows at a discharge of 0.6 m/s in a rectangular channel that is 1.6 m wide. There is a break in the channel slope, where the upstream channel section is characterized with a channel bottom slope of 0.0005m/m, and the downstream channel section is characterized with a channel bottom slope of 0.027m/m, as illustrated in Figure 4. The Manning's roughness coefficient is n = 0.013 for both sections. a) Calculate the normal depth and the critical depth in both sections of the channel. b) For each section, determine if the channel is hydraulically "Steep" or "Mild" at the given flow rate. c) Sketch the water surface profile along the channel (upstream and downstream of the intersection), indicating clearly any flow transitions brought about by the change in the channel slope, in particular, showing the 2-character designation for each of the GVF (Gradually Varied Flow) curves (S1, M2, etc.). On the same sketch, show the critical depth line and the normal depth line in both sections. d) Use one step in the gradually-varied flow (GVF) equation to determine how far upstream of the intersection the flow depth will become equal to 90% of the normal depth in this section. Hint: Usey (intersection) + 0.001 m as a starting point for your GVF calculations. e) Calculate the head loss due to channel friction over the distance calculated in part d). S1 0.0005 m/m n = 0.013 Figure 4 y S02 = 0.027 m/m n = 0.013 b = 1.6 m