WATER RESOURCES ENGINEERING (CL)
3rd Edition
ISBN: 9781119625827
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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Consider 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?
Q-9,
At a hydraulic jump, the flow depths are 0.4 m and 5
m at the upstream and downstream, respectively.
The channel is wide rectangular. Find the
discharge per unit width.
Read the question carefully and give me both a&b right solutions.
A 1.3-m wide rectangular channel with a bed slope of 0.00019 has a depth of flow of 0.8m. Manning’s roughness coefficient is 0.017.
(a) Can Manning’s equation be applied to
this system (i.e., is the flow fully turbulent)?
(b) Regardless of the answer to part a,
determine the steady uniform discharge in the channel.
Chapter 5 Solutions
WATER RESOURCES ENGINEERING (CL)
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 bottom width and bed slope of a long rectangular channel are 4.0 m and 0 0008, respectively. The volumetric steady-state discharge is 1.50 m/s. The flow depth at a specific location is 0 30 m. Ifn=0.016, determine: (a) The type of water surface profile expected Show all work and state your reasoning in support of your work Pleasell!! (b) Sketch the water surface profile with all necessary information and labels shownarrow_forwardc) The channel shown in Figure 1 below is laid at a slope of 0.0018 and has a Manning's roughness of 0.015. i) Calculate the discharge for a normal depth of flow of 2.11 m ii) Determine if this channel is mild or steep for this discharge. 10 m YN 10° 10° Figure 1- Question 1 (c)arrow_forwardA sluice gate was installed upstream of a rectangular channel that has a width of 5 m. The upstream and downstream depth on the sluice gate are 2 m and 0.4 m, respectively. If Cd is 0.6, what is the discharge? Neglect the upstream velocity head. a. 7.52 cms b. 10.02 cms c. 12.53 cms d. 15.66 cmsarrow_forward
- A hydraulic jump occurs in a triangular channel having a side slope of 1H:1V, The flow rate is 0.59 m3/s and the depth before the jump is 0.39m. Compute the height of the jump 1.64 1.46 0.64 0.46arrow_forwardWater in a 6-m-wide rectangular channel flows at a rate of 4 m³/s at a depth of 0.6 m. (a) What is the velocity (m/s) of flow upstream of the hump? (b) Is the flow (0.6 m-depth) super-critical or sub-critical? Compute the Froude number. (c) What is the critical depth, Yc (m)? (d) What should be the height, YH (m), of the hump to be installed if we want critical depth to occur? Yc 0.6 m HUMP Profile of channel YHarrow_forward2.1. A trapezoidal channel conveys 15 m³/s of water on a bed slope of 1 in 300. The base width of the channel is 5 m and the side slope is 2 m. Assume a Manning's roughness coefficient (n) of 0.018. Calculate: (a) Calculate the normal flow depth and discharge. (b) Calculate Reynold's and Froude Numbers. (c) Comment on the applicability of Manning's Equation.arrow_forward
- Question 18 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.arrow_forwardA hydraulic jump occurs in a trapezoidal channel with side slopes of 1:1 and base of 4 m. If the upstream depth before the jump is 1.0 m and the downstream depth is 2 m. Determine the discharge in cu.m./s (2 decimal places)arrow_forwardThe incoming flow rate is 200 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_forward
- 2000. If the Manning's n value is 0.015, calculate the discharge. Try calculating the [0.94m'/s]. discharge using the Chezy equation with C = 70. 3. A hydraulic jump is to be formed in a channel carrying a discharge of 0.8 m'/s/m width of channel with a depth of flow of 0.25 m. Calculate the depth required downstream to [0.61 m] create the jump.arrow_forwardA hydraulic jump is formed in a 5.0 meter wide rectangular outlet downstream of a control (sluice) gate. If the flow depth upstream of the gate is 9.0 meters and the discharge is 150 m^3/s, find (1) the flow depth just downstream of the gate, (2) flow depth downstream of the jump, (3) the head losses of the jump.arrow_forwardPlease help. Show complete solution and avoid truncation. Thank you A hydraulic jump occurs in a triangular channel having a side of 1H:1V, The flow rate is 0.59 m3/s and the depth before the jump is 0.39 m. Compute the height of the jump.arrow_forward
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