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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A rectangular channel 6.1 m wide with n = 0.014 is laid on a slope of 0.001 and terminates in a free overfall. Upstream 300 m from the overfall is a sluice gate that produces a depth of 0.47 m immediately downstream.
(a) For a discharge of 17.0 m3 /s, draw the NDL. CDL and the water surface profile that occurs in the channel. Do you expect a hydraulic jump to occur in the channel?
(b) From the overfall up to a location where the depth is 1.2 m, compute and plot the water surface profile using the direct step method.
please solve it in a simple way
An unsymmetrical trapezoidal channel of most efficient section with one side inclined from horizontal by 35 and the other inclined from vertical by 40 is to be designed to carry a 1.0 cubic meters per second discharge. Determine the flow stage type on the channel if roughness coefficient is 0.030 and average longitudinal slope is 0.175. Use Manning’s equation.
A trapezoidal channel is 10.0 m wide at the base and has a side slope of 4 horizontal to 3 verticals. The bed slope is 0.002, The channel is lined with smooth concrete (Manning's N = 0.012). The hydraulic radius (in m) for a depth of flow of 3 m is-
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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- 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.arrow_forwardA trapezoidal channel with a bottom width of 5m and side slope of 1V:2H is constructed to convey a steady discharge to a hydropower installation. This is made up of concrete with a Manning's n = 0.016 and bed slope of 3V:2000H. a. Determine the discharge and velocity if the discharge has a 2m-depth of water? b. Calculate the depth if discharge is 35m³/s? c. As shown below, when flooded, the flow goes over the top of the channel. If the flood channels are 10 m. wide and with side slopes of 1V:3H, and roughness is n=0.035, what is the discharge for a flood level of 4m?arrow_forwardWhat will be the depth of flow in a trapezoidal concrete-lined channel that has a water discharge of 1000 cfs? The channel has a slope of 1 ft in 500 ft. The bottom width of the channel is 10 ft, and the side slopes are I vertical to 1 horizontal. m = 0.109arrow_forward
- an unfinished concrete trapezoidal channel has a width 3.5m and sides inclined at 45 degrees from the horizontal is laid on a slope of 0.57 degrees.The flow rate is 14 cumecs.What is the normal depth of flowarrow_forward4. A trapezoidal channel with 3 meters bottom width, side slope 2H:1V, channel gradient of 0.002, and n= 0.025, carries a discharge of 200m^3/min. Compute the normal depth and velocity.arrow_forwardDetermine the normal depth of a flow in a concrete lined rectangular channel 20.0M wide carrying 150m3/s with a bed slope of 0.0025 and Manning'"s n of 0.016,assuming the channel can be considered as widearrow_forward
- The most efficient open channel cross section (maximum hydraulic radius for a given flow area) is a semicircle. o a False O b. Truearrow_forwardConsider 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?arrow_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
- 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/2arrow_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_forwardDischarge 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: Hydraulicsarrow_forward
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