Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 16, Problem 16P
To determine
The critical depth and maximum channel slope at which subcritical flow can occur.
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Q1- A rock trapezoidal channel has bottom width (5)ft, water depth of (3) ft, side slope 2 vertical:1 horizontal, and manning coefficient n (0.044), the channel had slope of 0.0016. The discharge through the channel will be: *
a) less than 100 ft3/sec
b) (100.1 - 150 ) ft3/sec
c) More than 150 ft3/sec
e)none of all above
30
Ex13 water flow in arectangular channel at the rate
of (3m²/sec) per m width, the depth being (1.52²)
Determine whether the flow is sub critical or
Super critical. ALSo determine the alternate
depth and Critical depth?
Q- In a trapezoidal channel with bed width of 2m, and side slopes of 2V on
1H, critical flow occurs at a depth of 1m. What will be the quantity of flow
and the flow velocity? Take g as 10m/s²
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Traffic and Highway Engineering
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- Q2 Draw a sketch of a trapezoidal channel cross-section, indicating the relevant geometric parameters and explain the procedure of determining the flow depth at known flow discharge and geometric characteristics, assuming that the channel is prismatic, the bed slope and the bed roughness are constant.arrow_forwardQ1( b) A float-finish concrete channel with bottom width of 3 m carries 3.5 m³/s of flow on bottom slope of 0.0003. Propose a cross section for the channel. Using the proposed shape section for this channel, compute : (i) Critical depth of flow (ii) Critical bottom slope of channel (iii) State of flow based on Froude number when depth of flow is 2.5 m (iv)Alternate depth of flow for the same specific energy in Ql(b)(iii) and the corresponding Froude number (v) If a trapezoid section is used, analyse proportions for the most efficient trapezoid section given that the side slope is not fixed.arrow_forwardQ2- Determine the flow rate, velocity and Froude Number in a trapezoidal channel, where water depth is 2 m, side slopes are 1:3, bed slope is 0.0005.arrow_forward
- A rectangular concrete channel (n = 0.015) is 10.5 ft wide, has a slope of 0.006, and a discharge rate of 200 cfs. Compute the normal depth and critical depth. If the depth of flow is 5.7 ft, is the flow subcritical or supercritical? What is the type of profile?arrow_forwardThe triangular channel (cross-section shown below) is made of corrugated steel (n = 0.022) and conducts 10 cfs at an elevation of 1000 ft to an elevation of 900 ft. (a) What is the velocity, V (ft/s), of flow? (b) What length, L (ft), should the channel be for normal flow? (c) What is the channel bed slope, So, to maintain normal flow? 2 ftarrow_forwardA rectangular channel section increases in width from 40 ft to 50 ft in a length of 100 ft. The channel slope is 0.1%. If the discharge and the velocity of flow at section 1 are 2950 cfs and 12.8 ft/sec, respectively, determine the depths of flow at sections 1 and 2 and the velocity at section 2. Use the energy principle. Disregard the losses.please show step by step.arrow_forward
- Figure Q1(c) shows a concrete compound channel used to convey 6100 L/s of flow on a slope of 1/150. Determine : i) the normal depth of the flow ii) the state of flow using Froude numberarrow_forwardWater is flowing in a weedy excavated earth channel of trapezoidal cross section with a bottom width of 0.8 m, trapezoid angle of 50° and a bottom slope angle of 0.5°. (a) If the flow depth is measured to be 0.52 m, determine the flow rate of water through the channel. (b) What would the flow depth be if the bottom angle were 1°. (note: a = 1 m1/3 /s and the manning coefficient for a weedy excavated earth channel is 0.03) V = 2/31/2 R₁==b+y/tan 6) 2y/sin 8 (b) Trapezoidal channel. I b Parrow_forwardWater flows uniformly in a rectangular channel with finished concrete surfaces.The channel width is 3m,the flow depth is 1.2m and the bottom slope is 0.002.Determine if the channel should be classified as mild,or steep for this flow.arrow_forward
- A rectangular open channel needs to be designed to carry a flow of 2.0 m³/s under uniform flow conditions. The Manning's roughness coefficient is 0.018. The channel should be such that flow depth is equal to half the width, and the Froude number is equal to 0.5. The bed slope of the channel to be provided isarrow_forward(a) An engineer is desired to analyze flow in an open channel in which the channel is designed to be constricted caused by placing bridge embankment at both sides of the channel. Explain the consequences due to the constriction.arrow_forwardIn a rectangular channel, the ratio of the velocity head to the flow depth for critical flow condition isarrow_forward
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