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(e) The flow Q = 300 cfs goes under the sluice gate that extends across the width of the channel. The opening under the sluice gate is 0.2 ft. The water flow continues in the same channel with the same bed slope and cross section. Show the gradually varied curve after the sluice gate. Is it M1, M2, S1, or...? (f) Does a hydraulic jump form anywhere in the channel? Explain why and where. If there is a hydraulic jump, compute the alternate depths y₁ and y₂ before and after the jump, and mark them on the diagram.

(e) The flow Q = 300 cfs goes under the sluice gate that extends across the width of the channel. The opening under the sluice gate is 0.2 ft. The water flow continues in the same channel with the same bed slope and cross section. Show the gradually varied curve after the sluice gate. Is it M1, M2, S1, or...? (f) Does a hydraulic jump form anywhere in the channel? Explain why and where. If there is a hydraulic jump, compute the alternate depths y₁ and y₂ before and after the jump, and mark them on the diagram.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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PLEASE SOLVE PARTS (E) AND (F)

Problem: Open-Channel Hydraulics: Flow Profiles, Direct Step Method and Hydraulic Jump A rectangular concrete channel is 60 feet wide, has a bed slope of 3 per thousand and a Manning's friction factor n of 0.015. NDL- (a) The 100-year design flow is Q = 300 cfs. Compute the normal depth y, in the channel. (b) Is the uniform flow in the channel subcritical or supercritical? Show your calculations. (c) There is a sluice gate at the downstream side of the channel. It induces a rise in water surface elevation upstream of the sluice gate. The depth of water upstream of the gate is 2.5 ft. Which gradually varied curve (M1, M2, M3, S1, S2, S3, etc.) is formed upstream of the sluice gate? Plot it on the scchematic diagram below. (d) Use the Direct Step Method to compute the length (L) of the gradually varied flow curve that was identified in question (c). You can use Excel to compute the length of the curve. (I suggest you use incremental depth changes of Dy=0.1 ft between y=2.5 ft and y, in order to find Dx for each step.) (e) The flow Q = 300 cfs goes under the sluice gate that extends across the width of the channel. The opening under the sluice gate is 0.2 ft. The water flow continues in the same channel with the same bed slope and cross section. Show the gradually varied curve after the sluice gate. Is it M1, M2, S1, or...? (f) Does a hydraulic jump form anywhere in the channel? Explain why and where. If there is a hydraulic jump, compute the alternate depths y₁ and y₂ before and after the jump, and mark them on the diagram. (NOT TO SCALE) BED SLOPE S y=2.5° $0.2 •SLUICE GATE NDL
Transcribed Image Text:Problem: Open-Channel Hydraulics: Flow Profiles, Direct Step Method and Hydraulic Jump A rectangular concrete channel is 60 feet wide, has a bed slope of 3 per thousand and a Manning's friction factor n of 0.015. NDL- (a) The 100-year design flow is Q = 300 cfs. Compute the normal depth y, in the channel. (b) Is the uniform flow in the channel subcritical or supercritical? Show your calculations. (c) There is a sluice gate at the downstream side of the channel. It induces a rise in water surface elevation upstream of the sluice gate. The depth of water upstream of the gate is 2.5 ft. Which gradually varied curve (M1, M2, M3, S1, S2, S3, etc.) is formed upstream of the sluice gate? Plot it on the scchematic diagram below. (d) Use the Direct Step Method to compute the length (L) of the gradually varied flow curve that was identified in question (c). You can use Excel to compute the length of the curve. (I suggest you use incremental depth changes of Dy=0.1 ft between y=2.5 ft and y, in order to find Dx for each step.) (e) The flow Q = 300 cfs goes under the sluice gate that extends across the width of the channel. The opening under the sluice gate is 0.2 ft. The water flow continues in the same channel with the same bed slope and cross section. Show the gradually varied curve after the sluice gate. Is it M1, M2, S1, or...? (f) Does a hydraulic jump form anywhere in the channel? Explain why and where. If there is a hydraulic jump, compute the alternate depths y₁ and y₂ before and after the jump, and mark them on the diagram. (NOT TO SCALE) BED SLOPE S y=2.5° $0.2 •SLUICE GATE NDL
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