Question

QUESTION 7 a. A spillway is designed to control the overflow from a dam as shown in the figure below. The flow rate from the dam over the spillway is 2.9m's-1 per metre of width of the spillway. A hydraulic jump occurs downstream of the spillway. What will be the depth of the fluid y, downstream of the hydraulic jump? Assume that energy losses over the spillway can be neglected. 8 marks 5 m b. A sluice gate is fitted across a rectangular horizontal irrigation channel to control the depth of the flow in the channel. The channel is 2m wide. A flow rate 3.6m's-1 is required after the sluice gate. What range of depths are acceptable after the sluice gate if a hydraulic jump is to be avoided? 7 marks

Answer 1

Apply Berriouli's equation 1. Jump blev spill way top to down stream At both places preessure is Atmo spheric. JE = a, b, c s aids - Jaghi = 12x9.4945 1 = 9.9849 m/s Now, this flow reacher a steady state after the Jump. to a down steam

blow down steam to Bernouli equation After jump e + 3 .ha + ,89 29 constelar that the volumetric flow rale per width : 2943 = (93 92 – Od123

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