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 39P
A channel with square cross section is to carry 20 m3/s of water at normal depth on a slope of 0.003. Compare the dimensions of the channel required for (a) concrete and (b) masonry.
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Water flows at a steady and uniform depth of 2 m in an open channel of rectangular crosssection having a base width equal to 5 m and laid at a slope of 1 in 1000. It is desired to obtain critical flow in the channel by providing a hump in the bed. Calculate the height of the hump and sketch the flow profile. Consider the value of Manning’s roughness coefficient n =0.02 for the channel surface.
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.
Please read the question carefully and provide the correct solution with simple steps fast. Please answer quickly.
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.
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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- In 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_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_forwardQ(1): A power canal of trapezoidal section has to be excavated through hard clay at least cost. Determine the dimensions of the channel, given, discharge equal to 14 m3/s, bed slope 1:2500 and Manning's n = 0.02.arrow_forward
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- In a trapezoidal channel, if m=3, for the best hydraulic section, the ratio B=b/y should be equal:arrow_forwardA rectangular cross sectional area of channel having width 4 m and depth 7.7 m. With help of these data compute wetted perimeterarrow_forwardConsider a rectangular channel 3 m wide laid on a 1°slope. If the water depth is 2 m, the hydraulic radius is(a) 0.43 m, (b) 0.6 m, (c) 0.86 m, (d ) 1.0 m, (e) 1.2 marrow_forward
- 1Water flows through a rectangular sharp-crested weir with a channel width of 2 m. The channel depth is 1 m with a weir head of 0.1 m. Calculate the discharge. Make a sketch of the channel along with the weir piecesarrow_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_forwardQUESTION 2 At a certain location in Durban, under normal conditions the water flows uniformly in a finished-concrete rectangular channel. During the recent floods' conditions, the overflow regions consisting of light brush was observed to increase the flow rate by 45%. Estimate the depth D if the bottom slope of the channel is 0.1°. D 1.5 m -5 m -5 m 2 m Figure 1arrow_forward
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