WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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Chapter 5, Problem 5.2.2P
To determine
The critical flow depth.
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Question 48
A circular pipe has a diameter of 1m, bed slope of 1 in 1000, and Manning's roughness coefficient
equal to 0.01. It may be treated as an open channel flow when it is flowing just full, i.e., the water
level just touches the crest. The discharge in this condition is denoted by Qfull- Similarly, the
discharge when the pipe is flowing half-full i.e., with a flow depth of 0.5m, is denoted by Qhalf. The
ratio Qfull/Qhalf İs:
Water flows in a channel of the shape of isosceles triangle
of bed width 'a' and sides making an angle of 45° with the
bed. Determine the relation between depth of flow 'd' and
the bed width 'a' for maximum velocity and for maximum
discharge condition. Use manning's formula and note that
'd' is less than 0.50a.
6.8.11. A diversion gate backs up flow in a 5-ft wide rectangular irrigation channel (So = 0.001,
0.015). The discharge in the channel is 50 cfs. If the depth of flow at the gate is 5 ft, deter-
mine the channel and flow classification (e.g., M-2, S-1) upstream of the gate and explain your
supporting logic. Then determine the water surface profile by finding the depth of flow at distances
of 200 ft, 500 ft, and 1,000 ft upstream of the gate. Use a spreadsheet or appropriate computer
software to perform the computations. (See the book's preface for computer software suggestions.)
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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 rectangular channel carries a discharge of 20 m3/sec with a width of 1 meter and a manning roughness number n= 0.02, the flow height (y) can be assumed (1arrow_forwardQ- A triangular open channel has a vertex angle to 90° and carries flow at a critical depth of 0.30 m. What is the discharge in the channel?arrow_forwardUniform flow is taking place in a rectangular concrete channel (n= 0.013) with a bottom width of 3 m and bed slope of 0.004. For the total discharge of 3.6 m³/s, the slope of the channel in GVF analysis is classified as: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с steep mild very mild criticalarrow_forwardIs the flow subcritical or supercritical in a 5 m wide rectangular channel with a discharge of 10 m³/sec? Take So = 0.005, n= 0.014.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_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_forwardWater is flowing steadily in a 0.5m wide rectangular open channel at a rate of 0.3 m3/s. If the flow depth is 0.20 m, determine the flow velocity and if the flow is subcritical or supercritical. Also determine the alternate flow depth if the character of flow were to change. a 3.33m/s, supercritical, 0.69m b 3.44m/s, subcritical, 0.87m c 5.55/s, supercritical, 1.24m d. None of the abovearrow_forward-1/3 The discharge in a channel with bottom width 3 m is 12 m³ s¹. If Manning's n is 0.013 m 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 in tranenoidal with sid 200 2H. 1 Varrow_forward15. A circular pipe has a diameter of 1 m, bed slope of 1 in 1000, and Manning's roughness coefficient equal to 0.01. It may be treated as an open channel flow, when it is flowing just full, i.e. the water level just touches the crest. The discharge in this condition is denoted by Qfull Similarly, the discharge when the pipe is flowing half, i.e. with a flow depth of 0.5 m, is Qfull denoted by Qhalf. The ratio is Qhalf ●arrow_forwardUniform Flow Rectangular Channel A rectangular channel has a base width of 12 feet, a slope of 0.006 ft/ft, a manning's n of 0.035, the flow rate is 180 cubic feet per second (CFS). Find the flow depth (y) assuming Uniform Flow and Manning's Equationarrow_forward7. A rectangular channel, 20 feet wide, carries a discharge of 200 cfs. Compute the critical depth and velocity.arrow_forwardQ- In a trapezoidal channel with bed width of 2m, and side slopes of 2V on 1H, critical flow occurs at a depth of 1m. What will be the quantity of flow and the flow velocity? Take g as 10m/s²arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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