Fox And Mcdonald's Introduction To Fluid Mechanics
9th Edition
ISBN: 9781118921876
Author: Pritchard, Philip J.; Leylegian, John C.; Bhaskaran, Rajesh
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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An overflow masonry dam is to be constructed across a stream. The stream is estimated to have a maximum flood discharge of 850 m3/s when the elevation of the water surface at the dam site is 345m. Six sluice gates each 2.4m x 1.8m wide (C= 0.75) are to be constructed in the dam with their sill at elevation 342m. The main overflow weir for which C = 1.45 will be 60 m long with a crest elevation of 360m. An Auxiliary weir 180m long with a crest elevation of 361m will operate during the floods. For this weir, C = 1.85. With all sluice gates open and when the discharge is 850m3/s, neglecting velocity of approach,
a. Determine the discharge of the auxiliary weir.
b. Determine the discharge of the main weir.
c. Determine the discharge of the sluice gates.
An irrigation channel of trapezoidal section, having side slopes 3
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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_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_forwardi need the answer quicklyarrow_forward
- Figure 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_forwardWater 30 cm deep is in uniform flow down a 1° unfinishedconcrete slope when a hydraulic jump occurs, as inFig. If the channel is very wide, estimate the waterdepth y2 downstream of the jump.arrow_forwardWhat is a sharp-crested weir? On what basis are the sharp-crested weirs classified?arrow_forward
- Compute the location of the first gutter inlet from the crest, considering the following information: Maximum allowable flow = 0.35 m?/s Composite runoff coefficient = 0.40 Intensity of rainfall = 125 mm/h Width of drainage area = 75 m 333.3 m 275.4 m 236.2 m 416.7 marrow_forwardWater flowing in a wide horizontal channel approaches a 20-cm-high bump with a velocity of 1.25 m/s and a flow depth of 1.8 m. Determine the velocity, flow depth, and Froude number over the bump.arrow_forwardPlease don't provide handwritten solution .....arrow_forward
- Consider 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_forwardIn flood stage a natural channel often consists of a deepmain channel plus two floodplains, as in Fig. Thefloodplains are often shallow and rough. If the channel hasthe same slope everywhere, how would you analyze thissituation for the discharge? Suppose that y1 = 20 ft, y2 =5 ft, b1 = 40 ft, b2 = 100 ft, n1 = 0.020, and n2 = 0.040,with a slope of 0.0002. Estimate the discharge in ft3/s.arrow_forwardWater flows in a rectangular open channel of width 0.6 m at a rate of 0.25 m3/s. If the flow depth is 0.2 m, what is the alternate flow depth if the character of flow were to change? (a) 0.2 m (b) 0.26 m (c) 0.35 m (d) 0.6 m (e) 0.8 marrow_forward
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