cee4324-5984-f11hw8

cee4324-5984-f11hw8 - The depths far upstream and...

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Virginia Tech Department of Civil and Environmental Engineering CEE 4324/5984 – Open Channel Flow Homework #8: Surface Water Profiles (continued) Due November 10, 2011 Problem 1: (4 points) A rectangular channel, 10.0 ft wide, carries a flow of 100 ft 3 /s. The slope of the channel S 0 =0.005 ft/ft, and Manning’s n is 0.030. The flow encounters a step of height 0.70 feet. The depths far upstream and downstream of the step are equal to the normal depth, y 0 . (a) Calculate y 0 . (b) Is the reach mild, steep, or critical? (c) Sketch all profiles both upstream and downstream of the step. (d) On your sketch, indicate the upstream and downstream depths of each profile you draw and provide supporting calculations. Problem 2: (4 points) A rectangular channel, 10.0 ft wide, carries a flow of 100 ft 3 /s. The slope of the channel S 0 =0.01 ft/ft, and Manning’s n is 0.020. The flow enters a rectangular constriction to a width of 5.0 feet.
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Unformatted text preview: The depths far upstream and downstream of the step are equal to the normal depth, y . (a) Calculate y . (b) Is the reach mild, steep, or critical? (c) Sketch all profiles both upstream and downstream of the step. (d) On your sketch, indicate the upstream and downstream depths of each profile you draw and provide supporting calculations. Problem 3: (5 points) Given q = 5.0 ft 2 /s and y =1.75 feet. (a) Is the reach mild, steep, or critical? (b) For a gate opening of 0.50 feet i. Find the depth immediately upstream of the gate. ii. What is observed downstream of the gate? iii. Sketch the profiles and indicate all relevant depths on the sketch. (c) For a gate opening of 0.40 feet i. Find the depth immediately upstream of the gate. ii. What is observed downstream of the gate? iii. Sketch the profiles and indicate all relevant depths on the sketch....
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