WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.3.6P
To determine
The distance upstream of the dam where the normal depth occurs.
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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.
There 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 basin
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.
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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- The width and the depth of flow in a triangular channel is 4 m and 1 m respectively. The velocities on the centre line at 0.2 m and 0.8 m below the water surface are 0.6 m/s and 0.4 m/s respectively. Determine the dishcarge in the channel.arrow_forwardConsider a concrete (n = 0.014) wide rectangular channel that discharges 2.7 m^3/s per unit width of flow. The channel bottom slope is 0.0002. There is a step rise of 0.15 m. Determine the flow depth downstream of the step assuming no transition losses. Does the water rise or fall at the step?arrow_forwardA rectangular open channel, with a constant discharge of 32m3/s, has a smooth expansion from (1) to (2) as shown in figure Q2 in the flow direction. At (1) the channel is 3.6m wide and the water depth is 2.4m . At (2) the water depth is 0.8m. Determine the channel width at (2), stating any assumptions made.arrow_forward
- in a wide rectangular channel if the normal depth is increased by 20%,find the percentage increase in the discharge.Use manning s equationarrow_forwardWater flows in a 8-m-wide rectangular channel that has a longitudinal slope of 0.01%. The channel has an equivalent sand roughness of 2 mm. Calculate the uniform-flow depth in m when the flow rate is 12 m3/s. Use the Darcy–Weisbach equation.arrow_forwardHorizontal rectangular channel (4 m) wide is carrying a discharge of 20 m3/s at a depth of 2.5 m. If the channel width is reduced linearly from 4 m to 3 m in length of 5 m, determine the flow depth at the location where the channel width is 3.5 m. Assume there are no losses in the contractionarrow_forward
- A trapezoidal channel having a bottom width of 6.1 m and side slopes of 1.5H : 1 V is carrying a flow of 126 m3/s at a flow depth of 5.79 m. The bottom slope is 0.00008, Manning n = 0.013 and the channel length is 5 km. There is constant-level reservoir at the upstream end of the channel. A sluice gate at the downstream end is suddenly closed at time t = 0 s. (a) Compute the transient conditions until t = 2000 s by using the method of characteristics. (b) Plot the computed flow depth in the channel at t = 0, 500, 1000, 1500 and 2000 s. (c) Plot the variation of the flow depth with time at 1.5, 2.5, 3.0 and 5.0 km from the reservoir. (d) By using different values of Δt/Δx, investigate the effect of interpolation error on the computed wave height and wave shape. (e) Show that the method of characteristic fails when a shock or bore is formed when the gate is closed in 10 s and the wave propagates in the channel.arrow_forwardThe 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.arrow_forwardA rectangular channel 3.05 m wide carries 3.4 m3/s uniform flow of water at a depth of 0.6 m. Suppose that an obstruction such as a weir is placed across the channel with the height of 0.2 m above the bottom. (a) Does this weir cause a hydraulic jump upstream of the weir? Why or why not? (b) Calculate the flow depth above the weir, and just upstream of the weir. Classify the surface profile occur upstream of the weir. Sketch the resulting water-surface profile and energy line, showing the critical depth yc and normal depth yo.arrow_forward
- Determine the discharge over a right angled triangular notch of depth 0.36 m. Let the coefficient of discharge be equal to 0.67.arrow_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_forwardA concrete lined circular channel of 3 m diameter has a bed slope of 1 in 500. Determine the velocity in m/s for the condition of maximum discharge. Take Chezy’s constant C = 50.arrow_forward
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