EBK WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119493167
Author: Mays
Publisher: VST
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Chapter 5, Problem 5.3.2P
To determine
The type of water surface profile.
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Q. Determine the depth in a trapezoidal channel with side slopes of 1 to 1.5, a bottom width of 8 m and
a channel slope of 0.0009. The discharge is 56 m /s and n = 0.017.
8m
A discharge of 15 cumec occurs in a rectangular open channel 1.5m wide with the bed slope of 0.00275 and roughness, n = 0.014. If the channel ends in a free outfall, calculate the depth at the brink, yn and the critical depth, yc. Determine the shape of the water-surface profile for a distance of 50m upstream from the brink. Note: use a 0.10m wtaer depth interval in the channel, critical depth located at 7 times the yc.
A wide rectangular channel laid on a slope of 0.009 has a Manning's roughness coefficient n = 0.014. Determine the discharge
for a normal depth of 2.0 m.
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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- 4: A discharge of 25 cumec occurs in a rectangular open channel 2.7m wide with bed slope of 0.003 and roughness, n=0.014. If the channel ends in a free outfall, calculate the depth at the brink, yn and critical depth, yc. Determine the shape of the water-surface profile for a distance of 120m upstream from the brink. Note: use a 0.10m water depth interval in the channel. Y1 = ? L=? Y2=? L=? Y3=? L=? Yc= ?arrow_forwardA trapezoidal channel has a bottom width of B=5 m, sidewall slope of 1V:1H, and bed slope of S, = 0.004. The channel bottom is compact gravel with a mean diameter of d50 = 26 mm and the sidewalls are concrete (n = 0.013). Use Horton's equation to calculate the equivalent Manning constant. The total discharge for a water depth of 1.4 m is: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с d Q = 14.5 m³/s Q = 18 m³/s Q=22.5 m³/s Q = 16 m³/sarrow_forward7. Refer to the following channel cross section. (a) What is the normal depth? (b) What is the cross-sectional area of flow? (c) What is the wetted perimeter? (d) What is the hydraulic radius? 3 1 0.5arrow_forward
- 6. In a wide rectangular channel if the normal depth is increased by 20%, then what is the approximate increase in discharge? 25% 30% 35% 40%arrow_forwardWater is moving at a velocity of 4 m/s in a 1 m wide horizontal channel at a depth of 1 m. The roughness coefficient n=0.025. What is the distance downstream will the depth be increased to 1.1 meters? Select one: O a. 4.51 m O b. 1.03 m O c. 6.89 m d. 10.52 marrow_forward(c) Determine the downstream depth, y2(d) Determine the absolute change in the water surface from location 1 to location 2.arrow_forward
- For the channel (Consider a rectangular channel 3 m wide laid on a 1°slope. If the water depth is 2 m, the hydraulic radius is), if the water depth is 2 mand the uniform flow rate is 24 m3/s, what is the approximatevalue of Manning’s roughness factor n?(a) 0.015, (b) 0.020, (c) 0.025, (d ) 0.030, (e) 0.035arrow_forward2.3 Find the normal depth for a discharge of 6.371 m³/s in a trapezoidal channel with a bottom width of 1.524m and side slopes of 1 horizontal to 1 vertical. The channel is lined with concrete (n=0.012) and has a slope of 0.02arrow_forwardtrapezoidal channel is designed based on hydraulically efficient channel cross-section. The channel is laid on a slope of 0.0035 and the channel bed material is silt clay. The recommended Manning's coefficient and sidewall slope for silt clay is n = 0.02 and 1V:2H, respectively. What is the normal depth and discharge? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a b с d 0.52 m, 0.85 m³/s 0.46 m, 0.52 m³/s 0.52 m, 0.58 m³/s 0.46 m, 0.58 m³/sarrow_forward
- The sequent depth ratio in a rectangular channel is 14. The froude number of the supercritical flow will be A) 6.62 B) 7.55 c) 8.45 D) 10.25arrow_forwardThe value of critical depth (in m) in a triangular channel if values of alternate depths are 0.5 m and 1.5 m respectively is.arrow_forwardFor a trapezoidal shaped channel (n=0.014 and slope = 0.0002 with a 20-ft bottom width and side slopes of 1:1.5 (V:H), determine the normal depth using trial and error technique for a discharge of 1000 cfs. I have the final answer, d= 7.40 Ft. Your answer should match the above answer.arrow_forward
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