WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.3.3P
To determine
The depth of flow 200 ft and 400 ft upstream of the obstruction and the distance of occurrence of the normal depth upstream.
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What 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 = 0.109
A very rough circular open channel has a diameter of 60 in and the depth of flow is 15.0 in. The Manning s n = 0.025 and
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Area of flow
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The critical flow section factor and the normal flow section factor
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A trapezoidal channel having a bottom slope of 0.001 is carrying a flow of 75 m3/s. The channel bottom is 50 m wide, n = 0.025, and the channel side slopes are 1 vertical to 1.5 horizontal. If a control structure is built at the downstream end that raises the water depth at the downstream end to 12 m, determine the amount by which the channel banks must be raised along its length. Assume the channel had uniform flow prior to the construction of the control structure.
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 trapezoidal channel with 3 meters bottom width, side slope 2H:1V, channel gradient of 0.002, and n = 0.025, carries a discharge of 200 m3/min. Compute the normal depth and velocity.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.(c) Determine the normal depth of flow [m]arrow_forwardIn a 3.0 m wide open rectangular channel, the flow rate is (1158) lt/sec flows. The depth of the channel is 2.9 m. At a downstream section, there is constriction with a width of 2.50 m and a 0.20 m bump on the bottom. Calculate the water depths of both upstream and downstream.arrow_forward
- A flood occurs in a main channel having a trapezoidal section (side slope 2H:1V) with base 12 m. The flood spills out of over a horizontal plane on one side of the main channel at a depth of 1 m. The width of the flood plane is 120m (side slope 1H:1V). What is the total discharge of the channels of slope for both channels is 0.0002 and roughness coefficients for main channel and the flood plane is 0.025 and 0.040, respectively?arrow_forwardAn 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.arrow_forwardA trapezoidal channel of bed width 12.0 m, side slopes 2:1, longitudinal bed slope = 10 cm/km, manning n = 0.025 and the critical depth = 0.589 m. If the discharge is doubled, find the corresponding normal water depth and critical deptharrow_forward
- Determine 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) Determine the critical flow depth in a long length of lined trapezoidal channel of base width of 3.5 m and a side slopes of 1:1 when the flow rate is 20 m3/s. the normal depth is 1.727m.arrow_forwardQUESTION 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 200 m3/min. Compute the normal depth and velocity.arrow_forward
- A very long trapezoidal channel has a bottom width of 18 ft, side slope of 2, longitudinal bottom slope of 0.01, Manning roughness factor of 0.020, and it carries 800 cfs. The normal depth is 9.25 ft and the critical depth is 3.45 ft. The flow depth at a section along this channel is 3.70 ft. The flow depth 10 ft upstream is most likely to be Select one: a. 5.20 ft b. 3.79 ft c. 3.45 ft d. 3.61 ftarrow_forwardThe channel consists of an unfinished concrete section (f = 0.038) and overflow regions on each side that contain light brush (f = 0.050). If the bottom of the channel has a slope of 0.0015, determine the steady volumetric flow when the depth is 2.5 meters.arrow_forwardAn open channel is fitted with a rectangular and right angled V notch with coefficient of discharge 0.6 and 0.65 respectively. The width of rectangular notch is 0.5 m and the head causing the flow over it is 0.1 m. Determine the head of water over the V notch. Discharge through the rectangular notcharrow_forward
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