Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 11, Problem 18P
Eleven cubic meters per second of water are diverted through ports in the bottom of the channel between sections ① and ②. Neglecting head losses and assuming a horizontal channel, what depth of water is to be expected at section ②? What channel width at section ② would be required to produce a depth of 2.5 m?
P11.18
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
At what depth will water flow in a 4 m wide rectangular channel if n=0.018, S0=0.0009, and Q=7m^3/s?
QUESTION 2
At a certain location in Durban, under normal conditions the water flows uniformly in a
finished-concrete rectangular channel. During the recent floods' conditions, the
overflow regions consisting of light brush was observed to increase the flow rate by
45%. Estimate the depth D if the bottom slope of the channel is 0.1°.
D
1.5 m
-5 m
-5 m
2 m
Figure 1
QUESTION 4
Water flows in a rectangular channel at a depth of y₁ = 0.2 m and a flow rate of
7.5 m³/s. A hydraulic jump is generated and the width of the channel is 4 m. Chezy's
roughness constant for the channel is 56 SI units. Determine:
4.1 the depth downstream
4.2 the Froude number downstream
4.3 the head loss in the jump
4.4 the bed slope
Chapter 11 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
Ch. 11 - Verify the equation given in Table 11.1 for the...Ch. 11 - A pebble is dropped into a stream of water that...Ch. 11 - Solution of the complete differential equations...Ch. 11 - A water flow rate of 250 cfs flows at a depth of 5...Ch. 11 - Determine and plot the relation between water...Ch. 11 - Capillary waves (ripples) are small amplitude and...Ch. 11 - The Froude number characterizes flow with a free...Ch. 11 - Consider waves on the surface of a tank of water...Ch. 11 - A submerged body traveling horizontally beneath a...Ch. 11 - Water flows in a rectangular channel at a depth of...
Ch. 11 - A partially open sluice gate in a 5-m-wide...Ch. 11 - Find the critical depth for flow at 3 m3/s in a...Ch. 11 - Flow occurs in a rectangular channel of 6 m width...Ch. 11 - What is the maximum flow rate that may occur in a...Ch. 11 - A rectangular channel carries a discharge of 10...Ch. 11 - Flow in the channel of Problem 11.15 has a...Ch. 11 - Consider the Venturi flume shown. The bed is...Ch. 11 - Eleven cubic meters per second of water are...Ch. 11 - A rectangular channel 10 ft wide carries 100 cfs...Ch. 11 - At what depths can 800 cfs flow in a trapezoidal...Ch. 11 - At a section of a 10-ft-wide rectangular channel,...Ch. 11 - Water, at 3 ft/s and 2 ft depth, approaches a...Ch. 11 - A horizontal rectangular channel 3 ft wide...Ch. 11 - A hydraulic jump occurs in a rectangular channel...Ch. 11 - A hydraulic jump occurs in a wide horizontal...Ch. 11 - A hydraulic jump occurs in a rectangular channel....Ch. 11 - The depths of water upstream and downstream from a...Ch. 11 - Calculate y2, h, and y3 for this two-dimensional...Ch. 11 - The hydraulic jump may be used as a crude flow...Ch. 11 - A hydraulic jump occurs on a horizontal apron...Ch. 11 - A hydraulic jump occurs in a rectangular channel....Ch. 11 - A positive surge wave, or moving hydraulic jump,...Ch. 11 - A 2-m-wide rectangular channel with a bed slope of...Ch. 11 - Determine the uniform flow depth in a rectangular...Ch. 11 - Determine the uniform flow depth in a trapezoidal...Ch. 11 - Water flows uniformly at a depth of 1.2 m in a...Ch. 11 - This large uniform open channel flow is to be...Ch. 11 - A rectangular flume built of timber is 3 ft wide....Ch. 11 - A channel with square cross section is to carry 20...Ch. 11 - A triangular channel with side angles of 45 is to...Ch. 11 - A flume of timber has as its cross section an...Ch. 11 - At what depth will 4.25 m3/s flow uniformly in a...Ch. 11 - A semicircular trough of corrugated steel, with...Ch. 11 - A rectangular flume built of concrete with 1 ft...Ch. 11 - Water flows in a trapezoidal channel at a flow...Ch. 11 - What slope is necessary to carry 11 m3/s uniformly...Ch. 11 - Find the normal depth for the channel of Problem...Ch. 11 - For a trapezoidal shaped channel with n = 0.014...Ch. 11 - Compute the critical depth for the channel in...Ch. 11 - A trapezoidal canal lined with brick has side...Ch. 11 - An optimum rectangular storm sewer channel made of...Ch. 11 - For a sharp-crested suppressed weir of length B =...Ch. 11 - A rectangular sharp-crested weir with end...Ch. 11 - What is the depth of water behind a rectangular...Ch. 11 - A broad-crested weir 0.9 m high has a flat crest...Ch. 11 - The head on a 90 V-notch weir is 1.5 ft. Determine...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Modified coefficient of performance and power input for clean condition.
Introduction to Heat Transfer
Comprehension Check 8-3
The mass of the human brain is 1360 grams [g]. State the weight of the human brain in u...
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
7.4 A solid steel shaft is fabricated as shown. Locate the cener of gravity with respect to the left end.
...
Applied Statics and Strength of Materials (6th Edition)
The shaft is supported at A by a journal bearing and at C by a thrust bearing. Determine the equation of the el...
Mechanics of Materials
ICA 8-20
A eutectic alloy of two metals contains the specific percentage of each metal that gives the lowest po...
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Determine me radius of gyration of the pendulum about an axis perpendicular to the page and passing through poi...
Engineering Mechanics: Dynamics (14th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Q5/The normal depth of flow in a rectangular channel (2 m deep and 5 m wide) is 1 m. It is laid to a slope of 1 m/km with a Manning's n = 0.02. Some distance downstream there is a hump of height 0.5 m on the stream bed. Determine the depth of flow (y1) immediately upstream of the hump. Answer: y1 = 1.27 marrow_forwardDesign a box culvert to carry a design discharge of 600 cfs. The culvert invert elevation is 2100 feet, and the allowable headwater elevation is 2114 feet. The paved roadway is 500 feet long and overtops at an elevation of 2115 feet. The culvert length is 200 feet with a slope of 1%. The following tailwater elevations apply up to the maximum discharge of 1000 cfs: Discharge (cfs) 200.00 400.00 600.00 800.00 1000.0Tailwater, ft 2101.4 2102.6 2103.1 2103.8 2104.1 Prepare a performance curve of the culvert design by hand and compare with the results of HY8. Also, use HY8 to prepare a performance curve if the slope is 0.5%.arrow_forwardEXERCISE 3: Water flows at a rate of q=3.13 m/s.m in a rectangular channel shown in the figure on the right. Ja0.00023 no0.015 • Determine the uniform flow depths and the types of flow in Ja 0.00762 Pe-0.015 different parts of the channel. Draw the water surface profile in the transition zone,arrow_forward
- Water flows at a steady and uniform depth of 2 m in an open channel of rectangular crosssection having a base width equal to 5 m and laid at a slope of 1 in 1000. It is desired to obtain critical flow in the channel by providing a hump in the bed. Calculate the height of the hump and sketch the flow profile. Consider the value of Manning’s roughness coefficient n =0.02 for the channel surface.arrow_forwardA trapezoidal channel having a bottom slope of 0.001 is carrying a flow of 30 m/s. The bottom width is 10.0 m and the side slopes are 2H to 1V. A control structure is built at the downstream end which raises the water depth at the downstream end to 5.0 m. Compute the water surface profile till 1.20 m. Manning n is 0.013 and a = 1. Select an appropriate Month for your calculations. Please read the question carefully and provide the correct solution with simple steps fast. Please answer quickly.arrow_forwardA rectangular channel is 3.0 m wide and carries a discharge of 3.3 m³/s at a depth of 0.9 m. A smooth contraction of the channel width is proposed at a section. Find the smallest contracted width that will not affect the upstream flow conditions. Neglect the energy losses in the transition.arrow_forward
- A 6m rectangular channel channel carries a discharge of 30 m³/s at a depth of 2.5m. Determine the channel width that produces critical depth.arrow_forwardQUESTION 5 A hydraulic jump at the base of a spillway of a dam is such that the depths upstream and downstream of the jump are 0.7 m and 3.6 m respectively. The spillway is 50 m wide. Calculate: 5.1.1 The flow rate over the spillway 5.1.2 The head loss across the hydraulic jump 5.1.3 The power dissipated by the hydraulic jump 5.2.1 A trapezoidal channel (figure 5) with a bottom width of 6 m, free surface width of 12 m, and flow depth of 2.2 m discharges water at a rate of 120 m³/s. If the surfaces of the channel are lined with asphalt (n = 0.016), determine the elevation drop of the channel per kilometer. 12 m 2.2 m 6 m Figure 5 tan www.bmwarrow_forwardThe flow rate passing through a rectangular channel with a base width of 4 meters and a water depth of 2.75 meters is 30 m3/s. This channel is narrowed as shown in the figure. If two (2) sections have a base width of 2m, what is the water depth in section (1) in meters (m)?arrow_forward
- Question : A stream bed has a rectangular cross section 5 meters wide and a slope of 0.0002 m/m. The flow rate in the stream is 8.75 m³/s. A dam is built across the stream, causing the water surface to rise to 2.5 meters just upstream of the dam, as shown below. Assume n = 0.015. y = yn 2.5 m a. Find the normal depth, yn, corresponding to this flow rate and channel geometry. You do not need to solve the equation by hand. To get full credit, show your equation with only one unknown. b. Find the critical depth, yc. c. The yn is found to be 1.8 m by solving the equation numerically. Identify the water surface profile upstream of the dam. Explain your answer for full credit.arrow_forwardA channel has a slope of 0.0004 m/m with n=0.015. It is expected that the channel will be able to carry a flow rate of 50 m3/s. Determine the normal depth, critical depth, critical slope,hydraulic radius, top width, velocity head, specific energy and the state of flow if the channel section is trapezoidal and its base width is 3.056 m. The side walls make an angle of 45 with horizontal level. Take ρ=1000 kg/m3 and g = 9.81 m/s2 Froude Number is estimated from F(r^2)=(V^2)T/g(A^3)arrow_forwardConsider the uniform flow of water in the triangular channel shown in the figure. The channel bed slope is 0.003 and the roughness coefficient is 0.025. The flow rate in the channel is 25 m³/s. What is the normal depth? a.3.48 m b.2.28 m c.4.70 m d. 1.98 m What is the critical depth? a. 1.98 m b.4.70 m c.3.48 m d.2.28 m If the flow depth at a certain section of the channel is 2 m, the flow is: a.subcritical b.critical c.supercritical d.can not be determined VAI 2 1arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Intro to Compressible Flows — Lesson 1; Author: Ansys Learning;https://www.youtube.com/watch?v=OgR6j8TzA5Y;License: Standard Youtube License