WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.5.4P
To determine
The depth at which hydraulic jump is formed just upstream of the gate, channel bottom slope and head loss in the hydraulic jump.
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the incoming flow rate is 100m3/s on a rectangular channel with: depth = 3m width = 4 meters Then, a hydraulic jump occurred along the way. Determine the depth at the hydraulic jump section.
The incoming flow rate is 100 m3/s on a rectangular channel with:
depth = 3 meters
width = 4 meters
Then, a hydraulic jump occurred along the way. Determine the depth at the hydraulic jump section.
Find the downstream height of a hydraulic jump which occurs on a level bed, if the upstream depth is 1 m and the velocity is 10 m/s. What is the depth upstream of the sluice gate which produces the 1 meter depth of flow
Chapter 5 Solutions
WATER RESOURCES ENGINEERING
Ch. 5 - Prob. 5.1.1PCh. 5 - Prob. 5.1.2PCh. 5 - Prob. 5.1.3PCh. 5 - Prob. 5.1.4PCh. 5 - Prob. 5.1.5PCh. 5 - Prob. 5.1.6PCh. 5 - Prob. 5.1.7PCh. 5 - Prob. 5.1.8PCh. 5 - Prob. 5.1.9PCh. 5 - Prob. 5.2.1P
Ch. 5 - Prob. 5.2.2PCh. 5 - Prob. 5.3.1PCh. 5 - Prob. 5.3.2PCh. 5 - Prob. 5.3.3PCh. 5 - Prob. 5.3.4PCh. 5 - Prob. 5.3.5PCh. 5 - Prob. 5.3.6PCh. 5 - Prob. 5.4.1PCh. 5 - Prob. 5.4.2PCh. 5 - Prob. 5.5.1PCh. 5 - Prob. 5.5.2PCh. 5 - Prob. 5.5.3PCh. 5 - Prob. 5.5.4PCh. 5 - Prob. 5.5.5PCh. 5 - Prob. 5.5.6P
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- A flow of 30 m3 /s occurs in a trapezoidal channel having a base width of 3 m, side slopes 1 vertical to 2 horizontal. Determine the critical depth, yc.arrow_forward) A) Determine the critical depth in a trapezoidal channel for a discharge of 150 m3/sec. The width of the channel bottom is 6 m, and the side slop upward at angle of 4arrow_forwardThe hydraulic jump below has a depth of 10 ft at the downstream end and the velocity is 4 ft/s. If the channel is 6 ft wide, determine (a) the depth y1 of the water before the jump and (b) the head loss within the jump. Neglect channel bed friction.arrow_forward
- The bed width of a trapezoidal channel is 5.0 m, 5,= 0.0004, the side slope is m = 2 horizontal: 1 vertical, and the n value is 0.02: y = 3.0 m is the normal depth of flow. Calculate and plot the resulting gradually varied flow using the direct step method, when the channel flows into a pool at the downstream end and the pool elevation is 1.25 m higher than the channel bed elevation at the downstream end. Estimate the length of the gradually varied flow that the pool elevation produces.arrow_forwardThere is a rectangular channel that will be excavated downstream of a dam after a stilling basin both with a width of 15 meters. The depth of the wather flow upstream of the dam is 4.27 meters and the discharge flow above the dam is 112.5 cubic meters per second. the channel wil be excavated in earth and n = .o25 and maintains a uniform flow depth under a subcritical flow regime. I need to determine 1. the bottom channel slope needed in the downstream channel and 2. the length of the stilling basin if the dissipation stucture starts at dissipated along the structure. The design should consider that the flow depth at the end of the still basin is similar to the flow depth in the channel. For a more realistic approach in the design, the head loss between the station upstream of the dam and the station at the beginning of the still basin is 10% of the velocity head observed at the beginning of the basinarrow_forwardConsider a 20-ft wide rectangular channel with a Manning's n value of 0.03. The channel has a discharge of 200 cubic feet per second at a uniform flow (normal) depth of 2 ft. A sluice gate at the downstream end of the channel controls the flow depth just upstream of the gate to a depth z. Determine the depth z so that a hydraulic jump is formed just upstream of the gate. What is the head loss (energy loss) in the hydraulic jump?arrow_forward
- discharge = 6.5 m^3/sec Considering the best hydraulic cross-section, what is the critical depth of this trapezoid-shaped channel? Best cross-section: T (top-width)= 2z (side length) R = y/2arrow_forwardThe rectangular channel is 3 m wide and caries a flow of 10 m3/s. At the 3.5 m drop, water is at the critical depth. Downstream of the drop, the depth = 2 m after the hydraulic jump. The head loss due to the jump = 2 m. (a) What is the depth of water before the jump? Note that the depth you calculate must be in the supercritical range. (b) What is the head loss due to the 2.5 m drop?arrow_forwardDetermine the dimensions and the critical depth of the following open channels cross-sections of maximum hydraulic efficiency/most efficient section if the wetted area is 1.0 square meters and carrying a discharge equal to 2 cubic meters per second. Draw the cross section of the channel approximately scaled with proper dimensioning considering it as flowing flash full. a. Rectangular Section b. Triangular Section c. Trapezoidal section with its sides inclined from vertical by 400 respectively.arrow_forward
- The depth of flow of water at a certain section of a rectangular channel 4 m wide is 0.5 m and the flow rate is 16 m3/sec. If a hydraulic jump takes place on the downstream side, fing depth of flow after the jump.arrow_forwardDetermine the depth of the trapezoidal canal with sides sloping at 60ᵒ with the horizontal in order to have a minimum seepage. The canal is to carry a discharge of 25 m3/s with an average velocity of 1 m/s. Note: for minimum seepage = bottom width = 4(depth)(tanθ/2)arrow_forwardWater flows in a trapezoidal channel at a depth of 40cm and with a velocity of 10m/s. An obstruction causes a hydraulic jump to be formed. What is the depth of flow downstream of the jump? The bottom width of the channel is 5m, and the side slopes are 1 vertical to 1 horizontal.arrow_forward
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