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cee4324-5984-f11hw8-solutions

# cee4324-5984-f11hw8-solutions - Virginia Tech Department of...

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Unformatted text preview: Virginia Tech Department of Civil and Environmental Engineering CEE 43245984 — 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 it3fs. The slope of the channel 80:0.005 ﬁfft, and Manning’s a is 0.030. The flow encounters a step of height 0.?0 feet. The depths far upstream and downstream ofthe step are equal to the normal depth, yo. (a) Calculate yo. (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, 100 ft wide, carries a flow of 100 Wis. The slope of the channel 80—001 tht, and Manning’s n is 0.020. The flow enters a rectangular constriction to a width of5.0 feet. The depths far upstream and downstream of the step are equal to the normal depth, ya. (3) Calculate yo. (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 ftzfs andyﬂ=l.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. (0) 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. alibi ___——-— ' J _._J 'i QM 4-5 74.35%» I192" _‘ t H I {-1.9er i I 1‘: w _ f a; db %¢;<;3* 54” 5-2- 072me 32.2.. —/_ ’ 53nd; at! :: L?{> 2': 0.‘?Z. '—'F ...
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cee4324-5984-f11hw8-solutions - Virginia Tech Department of...

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