EBK WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119493167
Author: Mays
Publisher: VST
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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
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
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.
Chapter 5 Solutions
EBK 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 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_forward(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_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
- the 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_forward4) 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_forwardQ1: 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_forward
- c) 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 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_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. Design a trapezoidal channel to carry a discharge of 10.5 m^3/s. The bottom slop of the channel is 0.0035. Also the flow depth is half of the channel bottom width. Take roughness coefficient as 0.025 and side slop as 1H to 4V. B. Based on the given information and your results in part A, compute the state of flowarrow_forwardA trapezoidal channel with bottom width b = 5 ft and side slopes m = 2 (that is 2 horizontal over 1 vertical) carries Q = 100 cfs at depth y = 3.15 ft. The water temperature is 60 F, and the kinematic viscosity at this temperature is v= 1.217 * 10-5 ft2/s. (a) Determine if the flow is turbulent or laminar. (b) Determine if the flow is subcritical or supercritical.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_forward
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