WATER RESOURCES ENGINEERING (CL)
3rd Edition
ISBN: 9781119625827
Author: Mays
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 5.3.6P
To determine
The distance upstream of the dam where the normal depth occurs.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A sluice gate was installed upstream of a rectangular channel that has a width of 5 m. The upstream and downstream depth on the sluice gate are 2 m and 0.4 m, respectively. If Cd is 0.6, what is the discharge? Neglect the upstream velocity head.
a. 7.52 cms
b. 10.02 cms
c. 12.53 cms
d. 15.66 cms
Ex. A small stream has a cross section which can be approximated by a trapezoid. The cross-sectional properties at three
sections are shown below. Section A is the downstream-most section. For a discharge of 100.0 m³/s in the stream, water surface
elevation at Section A was recorded as 104.5 m. Estimate the water-surface elevation at the upstream Section B and Section C.
Assume Manning's roughness n = 0.02 and energy coefficient a = 1.0 at all sections.
Section
A
B
C
Distance Up the River
(km)
100.00
102.00
103.50
Bed Elevation (m) Bed Width (m) Side Slope
100.000
14.0
1.5:1
100.800
12.5
1.5:1
101.400
10.0
1.5:1
The bottom width and bed slope of a long rectangular channel are 4.0 m and 0 0008,
respectively. The volumetric steady-state discharge is 1.50 m/s. The flow depth at a specific
location is 0 30 m. Ifn=0.016, determine:
(a) The type of water surface profile expected Show all work and state your reasoning in
support of your work Pleasell!!
(b) Sketch the water surface profile with all necessary information and labels shown
Chapter 5 Solutions
WATER RESOURCES ENGINEERING (CL)
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- Water flows at Q = 10 m³/s in a rectangular channel with b =4 m, n = 0.015, and So = 0.0009. If the flow depth at a gaging station is measured as 1 m, classify the gradually varied water surface profile, and use the differential equation of gradually varied flow to state whether the depth increases or decreases in the downstream direction. Assume the energy slope S/= 0.0025.arrow_forwardRead the question carefully and give me right solution according to the question. If you don't know the solution please leave it but don't give me wrong solution. A rectangular channel 1.25m wide and 30m long with a flat bottom carries a flow of 0.5m³/s. The channel terminates in a free discharge. Plot a sketch of the water profile in the channel. Take n = 0.011.arrow_forwardA rectangular flume 2 m wide carries discharge at the rate of 2 m³/s. The bed slope of the flume is 0.0004. At a certain section the depth of flow is 1 m. Calculate the distance of the section downstream where the depth of flow is 0.9 m. Solve by single step method. Assume rugosity coefficient as 0.014. Is the slope of the channel mild or steep? How is this type of surface profile Classified ?arrow_forward
- Consider a concrete (n=0.013) wide rectangular channel that discharges 2.0 m/sec per unit bxh width of the flow. The slope of the channel is 0.0001. A low dam causes a backwater depth of 2.0 m immediately behind (upstream of) the dam. Compute the distance upstream of the dam to where the normal depth occurs.arrow_forward33. What is the depth of the flow (m) in a circular channel of diameter 2.0 m for the maximum velocity? (a) 1 (b) 1.62 (c) 2 (d) 2.83arrow_forwardQ. No 1). Determine the discharge through a trapezoidal channel having X m base width, Side slope is 2:1 (Vertical to Horizontal). If the height of free surface of the water above the bed is 4 m. The bed slope is 1 in 1500, take n= 0.012. Width X=85arrow_forward
- A rectangular channel 1.25m wide and 30m long with a flat bottom carries a flow of 0.5m3/s. The channel terminates in a free discharge. Plot a sketch of the water profile in the channel. Take n = 0.011. [10 Marks] b) Find the depth for uniform flow in a trapezoidal channel side slopes 1 in 2, and bottom width 3m, when the flow rate is 6m3/s if So = 0.0006 and n is assumed to be 0.016. Compute the corresponding value of e. [10 Marks]arrow_forwardA trapezoidal is shown below. The particulars of the channel are as such: • Side slopes are 1 in 0.5 m. Manning's n = 0.015 • Slope of channel is 1 m in 1 km 0.5 b a. Using a value of 5 m for the bottom width and a normal depth of flow of 2 m, determin the following: i. ii. iii. Discharge Mean Velocity Reynolds No. b. If the discharge were 35 m³/s and bottom width was 5m, what would the normal depth of flow be? All other conditions remain the same.arrow_forwardConsider a 20-ft wide rectangular channel with a Manning's n value of 0.03. The channel has a discharge of 200 cubic feet per second at a uniform flow (normal) depth of 2 ft. A sluice gate at the downstream end of the channel controls the flow depth just upstream of the gate to a depth z. Determine the depth z so that a hydraulic jump is formed just upstream of the gate. What is the head loss (energy loss) in the hydraulic jump?arrow_forward
- Calculate the discharge through the channel and the floodway (shown in the Figure below) for steady uniform flow, with S = 0.0009 and y = 8 ft. n=0.025 12 m 5 m n=0.040 POPSPAREN [Σ, Pn] + 120 m Side slopes 1:1 Use the following equivalent channel roughness formula due to Pavlovskii (1931)* ne = For 25,000 cfs flow through the channel above, find the depth of flow in the floodway when the slope of the energy grade line is 0.0004.arrow_forwardCalculate the discharge through the channel and the floodway (shown in the Figure below) for steady uniform flow, with S = 0.0009 and y = 8 ft. n = 0.025 ne = 12 m 5 m n=0.040 √ [EXP²] + Р Paper 120 m ZAZ Use the following equivalent channel roughness formula due to Pavlovskii (1931)* Side slopes 1:1 For 25,000 cfs flow through the channel above, find the depth of flow in the floodway when the slope of the energy grade line is 0.0004.arrow_forwardThe base of the artificial channel has a bottom width of 3m and sides with a slope of 1 vertical to 2 horizontal. The depth of water being predicted/estimated is 1.2m when the discharge is 3.51m3/s. Using Manning's equation with n = 0.022 a. Calculate the slope of the channel bed.b. Calculate the discharge in m3/s when the depth of flow is 1.3m.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Structural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou...Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage Learning
- Fundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:9780134610672
Author:Russell C. Hibbeler
Publisher:PEARSON
Principles of Foundation Engineering (MindTap Cou...
Civil Engineering
ISBN:9781337705028
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:9780073398006
Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Cengage Learning