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 11P
A partially open sluice gate in a 5-m-wide rectangular channel carries water at 10 m3/s. The upstream depth is 2.5 m. Find the down-stream depth and Froude number.
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A 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.
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A 6m rectangular channel channel carries a discharge of 30 m³/s at a depth of 2.5m. Determine
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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 depth of trapezoidal channel of bed width 4m,bed slope of channel is 0.00059,and side slope of 2 horizontal to 3 vertical, when the discharge through the channel is 20 m³/sec. Manning's N=0.03. 4marrow_forwardConsider the same rectangular channel as in the previous problem (4.0 m wide, filled with water to 6.0 m, and walls of corrugated metal). If the slope is 0.65°, estimate the volume flow rate of the water.arrow_forwardWater is flowing uniformly in a rectangular open channel with unfinished-concrete surfaces. The channel width is 6 m, the flow depth is 2 m, and the bottom slope is 0.004. Determine if the channel should be classified as mild, critical, or steep for this flowarrow_forward
- Water flows uniformly in a rectangular channel with finished-concrete surfaces. The channel width is 3 m, the flow depth is 1.2 m, and the bottom slope is 0.002. Determine if the channel should be classified as mild, critical, or steep for this flow.arrow_forwardIn flowing from section (1) to section (2) along a rectangular open channel, the water depth decreases by a factor of three and the Froude number changes from a subcritical value of 0.7 to a supercritical value of 3.4. Determine the channel width at (2) if it is 8 ft. wide at section (1). Assume stead-state flow.arrow_forwardAt what depth will water flow in a 4m wide rectangular channel if n= 0.018, S0 = 0.0009 and Q = 7m3/s.arrow_forward
- 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 slopearrow_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_forwardDetermine the Froude number for the flow in a trapezoidal channel with the depth of water as 2 m and flow rate as (15+X) m/s. The width of the bed is 5 m and side slope is 1:1 as shown in Figure 3. Classify the type of flow. 2 m X=7 1 5 marrow_forward
- Water 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_forwardind the depth of trapezoidal channel of bed width 4m,bed slope of channel is 0.00059,and side slope of 2 horizontal to 3 vertical,when the discharge through the channel is 20 m³/sec.Manning's N=0.03. P 4marrow_forward
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