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 54P
What is the depth of water behind a rectangular sharp-crested weir 1.5 m wide and 1.2 m high when a flow of 0.28 m3/s passes over it? What is the velocity of approach?
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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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- A sharp-crested triangular weir with a notch angle of 80° is used to measure the discharge rate of water from a large lake into a spillway. If a weir with half the notch angle (? = 40°) is used instead, determine the percent reduction in the flow rate. Assume the water depth in the lake and the weir discharge coefficient remain unchanged.arrow_forwardA rectangular notch of length 1.2 m is fitted in a channel. The head of water over the notch is 450 mm. If same flow passes over triangular notch of crest angle 60°, find head over it Take Ca 0.6 for both notches.arrow_forwardFor an open channel having a trapezoidal section, the most efficient is the one whose shape is that of semi-regular hexagon. If such channel carries 4 m3/s of water flowing at 50 cm/s, the base width in meters isarrow_forward
- a. A stream 24 m wide carries 1.84 m³ /s of water. Determine the resulting head over a Cipolletti weir 1 m high and 4m long.arrow_forwardFigure shows a horizontal flow of water through asluice gate, a hydraulic jump, and over a 6-ft sharp-crestedweir. Channel, gate, jump, and weir are all 8 ft wide unfinishedconcrete. Determine (a) the flow rate, (b) the normaldepth, (c) y2, (d ) y3, and (e) y4.arrow_forwardA. Determine the discharge of water over a 60º triangular weir if the measured head is 19 cm. a. A stream 24 m wide carries 1.84 m³ /s of water. Determine the resulting head over a Cipolletti weir 1 m high and 4m long.arrow_forward
- What is a sharp-crested weir? On what basis are the sharp-crested weirs classified?arrow_forwardThe Tupperware dam on the Blackstone River is 12 ft high,100 ft wide, and sharp-edged. It creates a backwater similar toFig. Assume that the river is a weedy-earth rectangularchannel 100 ft wide with an flow rate of 800 ft3/s. Estimatethe water depth 2 mi upstream of the dam if S0 =0.001.arrow_forwardA rectangular artificial canal with depth and width of 1.5 m and 2.0 m, respectively is made of finished concrete and this canal lies on a slope of 1 m drop per 1 km travelling distance. Determine the volume flow rate and Froude number of this canal with using suitable assumption. (b)arrow_forward
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