ce3372-2015-3-es7-solution-sketch

ce3372-2015-3-es7-solution-sketch - CE 3372 Water Systems...

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CE 3372 – Water Systems Design FALL 2015 CE 3372 – Water Systems Design Exercise Set 7 Exercises 1. Water flows at a steady rate of 192 ft 3 /s through a concrete-lined rectangular channel 16 ft wide. Figure 1 is an elevation view sketch The water enters the channel at location 1 and is flowing at normal depth. The water exits over a 3-foot tall weir (assume sharp-crest weir) at location 2. 1 Figure 1: Profile of concrete-lined rectangular channel. i Using the variable-step method, determine the water-surface profile from location 1 to location 2. ii How far upstream from the weir is the flow at normal depth? (i.e. how far upstream is location 1 from location 2. iii What is the average Δ x in your computations if the Δ y is 0 . 1 feet? iv Include sample calculations (if you use a spreadsheet, screen capture a portion of the calculations section). v Include a plot of the water surface elevation, and the channel bottom elevation (a profile plot – like the figure, but with the horizontal distance as the x-axis). 1 The water-surface-profile spreadsheet on the class server can be adapted to this problem, or you can create your own. ES 7 Page 1 of 16
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CE 3372 – Water Systems Design FALL 2015 So build a spreadsheet (and complete the problem) we will need to do the following: (a) Build a tool to take Q, n, Width. (b) Compute normal and critical depth for the channel. (c) Assume depth at weir is weir height+critical depth – use that as starting value for the numerical method. (d) Use variable step method as outlined in class an compute spacing as depth is changed. (e) If there is a sign change, then there is a hydraulic jump. Continue after the jump, but remember to reverse the spacings for the plots. (f) Plot the results. Figure 2 is a spreadsheet that implements the steps above. Notice the hydraulic jump location is detected by the sign change in the step size.
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