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
Concept explainers
Textbook Question
Chapter 11, Problem 7P
The Froude number characterizes flow with a free surface. Plot on a log-log scale the speed versus depth for 0.1 m/s < V < 3 m/s and 0.001 < y < 1 m; plot the line Fr = 1, and indicate regions that correspond to tranquil and rapid flow.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A hydraulic jump is shown in figure below. The depth of flow z₂ after the hydraulic jump is 5 m larger than z₁. The total flow rate in the
channel is 450 m³/s and the channel width is 50 m. The length / over which the jump occurs is 0.4 m.
ax=
If the depth, z₁, is 6 m then what is the average acceleration (ing's) of the liquid as is flows across the jump.
0.21
Hydraulic jump
g's
V₂
QUESTION 10
Above a fairing, the flow speed decelerates according to the formula U₁ = 1x1.3 m-s-1, where x is the
streamwise distance from the fairing leading edge, located at x = 0. This produces over the fairing a two-
dimensional laminar boundary layer, which grows under an adverse pressure gradient. By Stratford's
method, estimate the separation distance xo from x = 0. State your answer in meters to three decimal
places without stating the units.
Hi there can you review the question below, it has been solved already in this platform,But I can't figure out why on differentiating dh/dw on the equation B of this problem gave a result of dh=(-9/50)*dw. Shouldn't it be dh=(-9/50)w*dw? Cheers...
THE PROBLEM REFERED IS:
The cross section of a particular riverbed is a parabola. A dam blocks its path. The width of the river at the dam is 20m, and the greatest depth at the dam is 9m. Find the total force exerted on the face of the dam.
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
Consider a thin-walled tube of 10mm diameter and 2m length. Water enters the tube from a large reservoir at m=0...
Fundamentals of Heat and Mass Transfer
If cable AD is tightened by a turnbuckle and develops a tension of 1300 lb, determine the tension developed in ...
Engineering Mechanics: Statics
What is wettability? Fluidity? How do each relate to brazing?
Degarmo's Materials And Processes In Manufacturing
The 10-lb block has a speed of 4 ft/s when the force of F = (8t2) lb is applied. Determine the velocity of the ...
Engineering Mechanics: Dynamics (14th Edition)
1.1 What is the difference between an atom and a molecule? A molecule and a crystal?
Manufacturing Engineering & Technology
The volumetric flow rate and discharge velocity of the air.
Introduction to Heat Transfer
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
- 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_forwardGiven a straight channel with a rectangular cross section, width = 200 μm, height = 120 µm, if the volumetric flow rate is 0.1 mL/min, and dynamic viscosity of the water is 1 CP. would it be a laminar flow? Under the same pressure gradient (), if we change to a circular cross section, what would be the diameter of the channel if we would like to maintain the same volumetric flow rate?arrow_forwardCross section of a wadi at a catchment outlet is shown in the given figure. It is required to obtain variation of wadi-flow rates (hydrograph) during rainfall events. If you were assigned to install a wadi-gage station there, clearly explain the measurements need to be taken and procedure to be followed to develop the rating curve.arrow_forward
- In gradually varied flow, the channel bottom, water surface, and EGL are parallel. Select one: O True O Falsearrow_forwardWater flows steadily along a horizontal open channel of uniform width, over a broad-crested weir. The channel bed upstream from the weir (to the left) is d metres above the channel bed downstream from the weir (to the right), as shown in the figure below. The volume flow rate per unit width is Q = 6 m? s-1, and upstream the depth of the water is h1 = 3 m. Take the magnitude of the acceleration due to gravity as g = 10 ms 2. hi D p. h2 U2 (a) Find the upstream speed u1, and show that the flow is subcritical there. (b) Find the specific energy E (in m) for the flow upstream. (c) By applying Bernoulli's equation along a suitable streamline, show that the depth h2 in the downstream section of the channel satisfies the equation 5h – (16 + 5d)h+9 = 0.arrow_forward7.5 m -2.0 m 6.0 m h where b = weir width (m) 2 g = gravitational acceleration (m/s) h = height of water above the weir edge (m) 2.0 m 1.0 m wide weir water flows out through this opening The surge tank pictured (shown with clear sides for illustration purposes) is used to even out variable flows. During periods of high flow, excess water is diverted to the surge tank where it flows out more slowly over the weir. The volumetric flow over the weir is V = 0.011 * b* g¹/2h³/2 Assuming no excess flow is currently being diverted to the surge tank, determine the time required for the water level in the tank to become 6.25 m if the initial height is 7.5 marrow_forward
- A 10s wave has a surface elevation profile given by 7 = 3 cos(kx- wt). a. Plot n for x = 0 and t = 0:0.25: 2Ts and t = 0: 2: 2Ts. Plot both profiles in a single plot and comment on why there are differences between them, especially at the peaks. b. Determine the water depth range of the intermediate wave region. c. If the beach slope is 1/100, what is the horizontal distance from the edge of the shallow water to the shoreline? %3Darrow_forwardWhich of the following situations is INCORRECTLY paired to its probable type of flow? Select one: O a. Flow of currents in Manila Bay: UNIFORM O b. Flow in a natural river during a flood event: UNSTEADY O c. Flow of water in a laboratory flume with constant discharge: STEADY O d. Flow in a converging pipe: NON-UNIFORM Consider the velocity field, V the magnitude of the y-component of the acceleration, ay in m/s², at point (2,1) in the velocity field? Answer: = · (x² + y² − 4)i + (xy — y)j, where x and y are in m and V is in m/s. What is - Consider the velocity field, V = (x − 2y)i — (2x + y)j. What is the value of the velocity potential function at the point (2,3)? Answer:arrow_forward2. Four reservoirs connection is shown below. Determine the discharges in each pipe using Manning's Equation withn = 0.012. Draw the final hydraulic gradient line (HGL). Diameter of pipe (m) Length of pipe (m) 1500 800 Pipe AX 0.30 BX 0.25 XY CY 400 0.30 500 0.20 DY 1600 0.20 WS ELEV. = 300 m wS ELEV. = 150 m WS ELEV. = 100 m ELEV. = 75 m WS D. Yarrow_forward
- Q.10. The flow net below represents air flowing over a small hill. 1.8m .d 1.5m 1.2m 0.9m • a 2m At the inlet, the streamlines are evenly spaced 2 m apart, and the air flow is a uniform 3 m/s. a. Taking the ground to be = 0 m²/s, what are the values of the streamlines A-C? b. Find the air flow speed, and the corresponding gauge pressure, at each of the points a-d at the crest of the hill. c. The stream and potential lines have been drawn to be approximately square. As- suming this to be the case, what is the value of the potential drop Aø1 and A¢2.arrow_forwardWater flows under the partially opened sluice gate, which is in a rectangular channel. Suppose that yA = 8 m and YB = 1.5 m. (Figure 1) Figure ▼ УА Part A A B 1 of 1 C Determine the Froude number at B Express your answer to three significant figures. Tarrow_forward3. The daily streamflow data of a river for a drainage area of 5,810 km are given in table below. Determine the equivalent depth of the direct runoff by separating the baseflow. (Use recession curve method- N-0.8A) Time (days) Flow (m'/s) 1,600 1,550 5,000 11,300 8,600 6,500 5,000 3,800 Time (days) Flow (m/s) 2,800 2,200 1,850 1,600 1.330 1,300 1,280 9. 10 11 12 13 14 15 1234 n078arrow_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
Properties of Fluids: The Basics; Author: Swanson Flo;https://www.youtube.com/watch?v=TgD3nEO1iCA;License: Standard YouTube License, CC-BY
Fluid Mechanics-Lecture-1_Introduction & Basic Concepts; Author: OOkul - UPSC & SSC Exams;https://www.youtube.com/watch?v=6bZodDnmE0o;License: Standard Youtube License