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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Chapter 11, Problem 53P
A rectangular sharp-crested weir with end contractions is 1.5 m long. How high should the weir crest be placed in a channel to maintain an upstream depth of 2.5 m for 0.5 m3/s flow rate?
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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 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_forwardA 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.arrow_forwardA triangular open-channel (n=0.014) has a side slope of 3H:4V. The flow depth is 2.5m when the slope is 0.002. Determine the volumetric flowrate.arrow_forward
- Consider 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_forward1Water 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_forwardA trapezoidal open-channel (n=0.015) has a side slope of 5H:2V and a bottom width of 2.5m. The flow depth is 1.5m when the slope is 0.002. Determine the volumetric flowrate.arrow_forward
- In a trapezoidal channel, if m=3, for the best hydraulic section, the ratio B=b/y should be equal:arrow_forwardUniform water flow in a wide brick channel of slope 0.02°moves over a 10-cm bump as in Fig.. A slightdepression in the water surface results. If the minimumwater depth over the bump is 50 cm, compute (a) thevelocity over the bump and (b) the flow rate per meterof width.arrow_forwardAn irrigation channel of trapezoidal section, having side slopes 3 horizontal to 2 vertical, is to carry flow of 10 cumec on a longitudinal slope of 1 in 5000. The channel is to be lined for which the value of friction coefficient in Manning's formula is n = 0.012. Find the dimensions of the most economic section of the channel.arrow_forward
- A circular corrugated-metal water channel has a slope of1:800 and a diameter of 6 ft. (a) Estimate the normal discharge,in gal/min, when the water depth is 4 ft. (b) For thiscondition, calculate the average wall shear stress.arrow_forward2) A venturi flume is placed near the middle of a long rectangular channel with Manning's coefficient n= 0.012 m s. The channel has a width of 5 m, a discharge of 12.5 m's" and a slope of 1:2500. (a) Determine the critical depth and the normal depth in the main channel. (b) Determine the venturi flume width which will just make the flow critical at the contraction. (c) If the contraction width is 2 m find the depths just upstream, downstream and at the throat of the venturi flume (neglecting friction in this short section). (d) Sketch the surface profile.arrow_forward7. A long triangular open channel with two different side slopes, these are: 2:1 and 3:1 (H: V). The Manning coefficient is 0.014. The longitudinal bed slope =0.004, this channel is converted to the best economic section by using the same amount of material at depth 1.5m in the old section. The old and new flow discharges in m3/s (respectively) are: 9.9 & 57.5 29.8 & 67.3 20.5 & 14.5 19.9 & 37.3 Nonearrow_forward
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