WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.1.3P
To determine
The uniform flow depth in the rectangular channel.
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An open channel is V-shaped, each side being inclined at 45 degrees to thevertical. If the flow rate is 3 m3/s when the depth of water at the centre is 0.52m, calculate the slope of the bed of the channel. Use Manning’s coefficient n =0.013.
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/2
Determine 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)
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_forwardAn open channel is fitted with a rectangular and right angled V notch with coefficient of discharge 0.6 and 0.65 respectively. The width of rectangular notch is 0.5 m and the head causing the flow over it is 0.1 m. Determine the head of water over the V notch. Discharge through the rectangular notcharrow_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_forward
- 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_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_forwardDetermine the length of the sides a of the channel in terms of its base b, so that for the flow at full depth it provides the best hydraulic cross section that uses the minimum amount of material for a given dischargearrow_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_forwardA trapezoidal canal has bottom width of 2m and side slope of 2V:3H is laid on the slope of 2 meters per kilometer and has a roughness coefficient n=0.018. Evaluate the normal depth when the flow of waetr is 8.5m3/s.arrow_forwardA welded steel channel, rectangular in cross section and 1.55 m wide is laid on a slope of 1 and 500, if the flow depth is 1.28 m determine the dischargearrow_forward
- A 2.0m wide rectangular channel has normal depth of 1.25 m when the discharge is 8.75 m3s. The slope of the channel is classified asarrow_forwardDetermine the normal depth (m) in a rectangular channel with flowing discharge of 70 m3/s, roughness of n=0.025, slope of 0.001, with bottom width of 6 meters.arrow_forwardA uniform flow occurs in a 4.1m diameter circular concrete culvert, but the depth changes depending on the weather (due to storms). The Manning coefficient is n = 0.013, and the channel slope is So = 0.0003. What is the discharge in m3/s when the depth of flow is 3.5m?arrow_forward
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