A steep long channel takes its water from a lake. Prove that the discharge per unit width in the channel is given by: q= 8 Two lakes are joined by a wide concrete channel A-B as shown in the figure below, n = 0.02. The water levels in the lakes are constant. a) Find the flow rate into the channel for each of the following bed slopes: i. So = 10 cm/km ii. So 0.003924 iii. So = 0.01 Compare your results and explain how the flow depth at A affects the flowing discharge. b) Sketch the Water surface profile for the above cases and calculate the water depths wherever appropriate. c) Does a hydraulic jump occur? If so, How far upstream point B does it occur? Use the step by step method, considering 5 points. 1.5m n = 0.02, Bed Slope = So B 2.0m