WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.3.4P
To determine
The flow depth downstream of the step assuming no transition losses.
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Consider 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?
A circular section channel 3 m in diameter has a depth of 1.0 m and is laid to a gradient of 1:1000 and n = 0.012.
A.Compute the rate of flow in cu.m./s (2 decimal places)
B. Compute the hydraulic radius of the channel (3 decimal places).
A 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.
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_forwardThe 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_forwardA rectangular open channel, with a constant discharge of 32m3/s32, 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. After the expansion, the channel width remains constant. Explain what engineering techniques you could use in order for the flow to change regime at a point downstream of (2).arrow_forward
- A rectangular channel carries a discharge of 18.10m3/s when flowing 1.5m depth. If the width of the canal is 10m, determine: The specific energy, Slope of the channel if n= 0.35, and Boundary shearing stress in Pascals.arrow_forwardThe bottom width of a trapezoidal canal is 2.5m and its sides are both inclined at 60 degree with the horizontal. Water flows at a depth of 3m. Calculate the discharge of the slope of the canal is 0.0008 with a coefficient of roughness n=0.03arrow_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
- Determine the critical depth for best hydraulic cross-section of a trapezoidal channel that carries a flow of 6.5 m³/ s. Note: For Best Hydraulic Cross-Section; T = 2 z where T – top width and z-side length, and R = y/2.arrow_forwardA masonry dam having a sheet piling cutoff at the upstream and is located at a reservoir site as shown in the figure. Nf= 4; Nd= 10 and K= 0.003m/min 1) compute the seepage discharge in cu MTR/day 2) compute the uplift force acting on the base; 3) compute the exit or escape gradient of the water at the downstream tip of the dam if the length of the flow field is equal to 1.80marrow_forwardThe slide slope of a trapezoidal open channel are 1 horizontal to 1.75 vertical. The bottom width is 2.5 m and the depth flow is 3m. The coefficient of roughness n=0.015 and the slope of the channel bed is 0.0004. Calculate the velocity of flow using Manning's formulaarrow_forward
- 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 basinarrow_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_forwardA trapezoidal channel of 6m and side slopes of 1:2 carries a flow of 60m^3/s at a depth of 2.5m.There is a smooth transition to a rectangular section 6m wide accompanied by gradual lowering of the channel bed by 0.6m i.find the depth of the water in the rectangular section and the change in the water surface level ii.in the case the drop of the water surface level is tobe restricted to 0.3,what is the amount the bed must be lowered?assume no lossesarrow_forward
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