Question

A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate the normal depth for the two slopes in the system c. The flow depth is expected to pass through critical depth over the top of the dam. Use an energy balance on points just before and after the top of the dam to determine the depth upstream of the dam (z+ y + V2/2g constant), which is NOT the normal depth (why?) d. Determine the location of the hydraulic jump before or after the base of the dam and estimate the depths before and after the jump e. Sketch the hydraulic profile. The profile should begin and end with normal depth "far" upstream and "far" downstream from the dam. For this part of the problem, you may assume each section is "long" (i.e., don't worry about scaling). Draw out and label each gradually varied profile and indicate the classification. Label the depth at control points

Answer 1

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