Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 11, Problem 15P
A rectangular channel carries a discharge of 10 ft3/s per foot of width. Determine the minimum specific energy possible for this flow. Compute the corresponding flow depth and speed.
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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...
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- Find the discharge if flow velocity 0.8 m/s and area of channel 0.3 m2arrow_forwardWater flows at 15 f/s through a 6 ft wide rectangular channel as shown in the figure. The upstream depth of flow (y1) is 1 ft and the downstream depth of flow (y2) is 1.5 ft. Is the flow upstream subcritical or supercritical? Determine if a hydraulic jump will form. Show steps.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
- The radial gate used to control the flow at 2.5m wide rectangular channel. For a specific opening the discharge from this gate was 3.65-³/5. Find G for modular flow. use 8=20 and y₁=1.76m.arrow_forwardA sharp crested suppressed weir under a head of 2.03 m is 3.50 m high and 2m long. Determine the discharge over the weir, if C = 0.603. Neglect the velocity of approach.arrow_forwardNonearrow_forward
- 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 V₂arrow_forwardA 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_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
- 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_forwardThe discharge through a rectangular channel of 20 m wide is 50 m/s. The depth of flow is 1 m. The bed slope is 1/4000. Take Chezy's constant C=60 The slope of the energy line is Next pagearrow_forwardIf a rectangular sharp-crested weir 1.25m long with no end contractions were to replace the triangular weir, what would be the required H in centimeters for a similar discharge? Use Francis formula.arrow_forward
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