cee4324-5984-f11hw10

# cee4324-5984-f11hw10 - Virginia Tech Department of Civil...

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Virginia Tech Department of Civil and Environmental Engineering CEE 4324/5984 – Open Channel Flow “Homework #10”: Profiles and Conjugate Curves on a Steep Slope To be discussed on December 6, 2011 – NOT to be turned in Problem 1: Given a rectangular channel, 10.0 ft wide, carrying a flow of 200 ft 3 /s. Manning’s n is 0.020 and the slope of the channel S 0 =0.015 ft/ft. In the middle of the reach, there is a sluice gate set to an opening of 1.6 feet. Your ultimate goal is to quantitatively determine the profiles for the system shown below (i.e. critical depth is the upstream and downstream boundary condition). Please answer the following questions: (a) Calculate y 0 . Verify the reach is steep. (b) Given the boundary conditions described above, determine all surface water profiles and provide supporting calculations for all key depths defining the upstream and downstream depths associated with these profiles. (c)

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## cee4324-5984-f11hw10 - Virginia Tech Department of Civil...

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