WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.3.5P
To determine
The depth of flow downstream of the bottom depth and the rise or fall of water surface at the step.
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Discharge in a concrete channel with bottom width of 3m is 10 cumecs. Bed slope of a given channel is equal to 1 in abc. Where, “abc” is the last three digits of your registration number. Find the normal, critical and hydraulic depths of flow if: 1. the channel has vertical sides2. the channel is trapezoidal with 3H:2V3. the channel is triangular with apex angle equal to 1000
Course: Hydraulics
The discharge in a channel with bottom width 3 m is 12 m³ s¹. If Manning's n is 0.013 m-1/3 s
and the streamwise slope is 1 in 200, find the normal depth if:
(a)
the channel has vertical sides (i.e. rectangular channel);
(b)
the channel is trapezoidal with side slopes 2H:1V.
Discharge in a concrete channel with bottom width of 3m is 10 cumecs. Bed slope of a given channel is equal to 1 in 664 . Find the normal, critical and hydraulic depths of flow if: 1. the channel has vertical sides 2. the channel is trapezoidal with 3H:2V 3. the channel is triangular with apex angle equal to 1000
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) A trapezoidal channel has a bottom width of Bw = 10 m and 1 vertical to z=2m horizontal. The channel has a slope of 0.0001 and a Manning's roughness of n = 0.0501. If the uniform flow depth is yn = 7m what is the discharge in the channel? (b) Compute the critical depth (yc) for this trapezoidal channel given discharge from (a)arrow_forward: The width of a horizontal, rectangular channel is reduced from 3.5 to 2.5 m and the floor is raised by 0.25m in elevation at a given section. At the upper stream section the depth of flow is Im and the KE correction factor is 1.15. If the drop in water level at the contraction is 0.20m. Calculate loss is i) Discharge if energy • zero. ") Discharge if energy loss is 10th of the upper stream velocity head. KE correction factor for contracted section is unity. 2m y₁ 0.2m y: 2 0.25 m. 3.5 2.5marrow_forwardQ-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.arrow_forward
- 4) a) Uniform flow in a steep rectangular channel is interrupted by the presence of a hump in the channel bed which produces critical flow over it for a discharge of 4 m/s. The channel properties are: b = 3 m, n = 0.015, So = 0.01, Az = 0.083 m. Show that critical flow occurs over the hump. i. If the flow in the channel in part (a) above is suddenly reduced to 3 m/s some distance upstream, determine the new depth upstream of the hump and the speed of propagation of the surge wave formed.arrow_forwardQ4. Water flows within the rectangular channel shown with a flow of 8 m3/s. Given that the specific energy is E=2m. Determine: a) The two possible flow depths are y,=.. ....m, and Y2=. ....m. b) The critical depth of the flow is ..m. c) The flow type: (1) super critical; (2) subcritical; (3) critical flow; (4) cannot be found without knowing the slope of the bed. d) The minimum specific energy of the flow is .m. e) Plot the specific energy diagram. 3marrow_forwardthe 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.arrow_forward
- Q1: Design an earthen channel which has a trapezoidal cross section with a bed width equal to 12 meters and side slopes equal to 2.5. It carries a discharge of 28.2 cumecs and has a Manning's roughness coefficient equal to 0.022. The maximum allowable flow velocity in the ,0.64 canal is given by: V(m) 0.4 d04 (m). Determine the flow depth. Assume longitudinal slope= 10 cm/kmarrow_forwardThe base of the artificial channel has a bottom width of 3m and sides with a slope of 1 vertical to 2 horizontal. The depth of water being predicted/estimated is 1.2m when the discharge is 3.51m3/s. Using Manning's equation with n = 0.022 a. Calculate the slope of the channel bed.b. Calculate the discharge in m3/s when the depth of flow is 1.3m.arrow_forwardQuestion 4. L a) A (3.0 + X) m wide rectangular channel carries water at 20°C at a depth of 0.75 m. The channel is laid on a slope of 0.0004. Find the hydrodynamic nature of the surface if the channel is made of (a) very smooth concrete and (b) rough concrete. Also estimate the discharge for both the cases using Manning's formula. Consider that the equivalent roughness height for very smooth concrete is 0.25 mm and for rough concrete is 3.5 mm. Where, X = 0.01 x Last Three Digit of your Student ID b) Compute the normal depth and velocity in a trapezoidal channel whose bottom width is (6 + X) m and side slope is 1.75: 1. The discharge of the channel should be maintained 33 m/s. Consider that the value of Manning's n is 0.025 and bed slope is 0.0031. Where, X 0.01 x Last Three Digit of your Student IDarrow_forward
- A right-angled triangular channel carries a flow of 16,000 l/s. The Manning's n = 0.020 and the slope is 2 m/3000 m. (a) Determine the critical depth [m] for this flow. (b) Determine Froude number for the flow when the depth of flow is 0.6 m. Determine the normal depth of flow [m]. Show your work fully.arrow_forward2) For a rectangular open channel the following information is given: Discharge, Q=125 m³/s, cross-section width, b = 10 m, Manning roughness coefficient n = 0.025, channel bottom slope So = 0.00015. Determine: a) Uniform flow depth, yn. (For the first iteration assume yn = 10 m) b) State of the flow. c) Resistance to the flow, t. 个 yn ↓ IK 3-91arrow_forwardFind the normal depth for a discharge of 6.371 m³/s in a trapezoidal channel with a bottom width of 1.524 m and side slopes of 1 horizontal to 1 vertical. The channel is lined with concrete (n=0.012) and has a slope of 0.02. Ans: 0.469 marrow_forward
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