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cee4324-5984-f11hw6_solutions

# cee4324-5984-f11hw6_solutions - Virginia Tech Department of...

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Virginia Tech Department of Civil and Environmental Engineering CEE 4324/5984 Open Channel Flow Homework #6: Flow Resistance and Normal Depth Solutions Problem 1: Given: Q = 50 ft 3 /s S = 0.01 ft/ft b = 20 ft Manning’s n = 0.02 Find: Critical depth: y c : 0.58 feet Normal depth: y 0 : 0.53 feet Classify Reach: (steep or mild?) - steep Fill out the following influence chart: Influence Chart Increase in this Parameter Effect on Normal Depth Effect on Froude Number Q Up Up S Down Up b Down Down Manning’s n Up Down Problem 2: You are asked to design a rectangular channel. The discharge is 50 ft 3 /s, slope is 0.01 ft/ft, Manning’s n is 0.02 (i.e. like in Problem 1 above.) Your design is defined as most efficient if the cross-sectional area is minimized. What channel width, “ b ”, will produce the most efficient channel for these conditions? Solution: Please read your text, Chaudhry (Page 284) or Henderson (pages 101-103). The problem I have asked amounts to minimizing cross-sectional area for a given discharge. If area is minimized, then velocity is maximized.

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