V.Problem Solving1. A rectangular channel, 20ft wide, carries 400 cfs and discharges onto a 20 ft wide apron with no slopewith a mean velocity of 20 fps. What is the height of the hydraulic jump? What energy is lost in thejump?2. At a certain section of a rectangular channel 10 ft wide, the depth of flow is 2 ft and the flow rate is 400ft/s. If a hydraulic jump occurs, will it be upstream or downstream of this section? Prove answer usingcalculation.3. Water flows over a spillway into a sluice 10 m wide. Before the jump the water has a depth of 1 m and avelocity of 18 m/s. Determine the Froude number before the jump and the depth of flow after the jump.4. A rectangular channel, 16 ft wide, carries a flow of 192 cfs. The depth of water on the downstream sideof a hydraulic jump is 4.20 ft. What is the upstream depth? What is the loss of head?

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Answered: V. Problem Solving 1. A rectangular…

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter16: Highway Drainage

Section: Chapter Questions

Problem 13P

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A rectangular channel, 20ft wide, carries 400 cfs and discharges onto a 20 ft wide apron with no slope with a mean velocity of 20 fps. What is the height of the hydraulic jump? What energy is lost in the jump? 2. At a certain section of a rectangular channel 10 ft wide, the depth of flow is 2 ft and the flow rate is 400 ft3/s. If a hydraulic jump occurs, will it be upstream or downstream of this section? Prove answer using calculation. 3. Water flows over a spillway into a sluice 10 m wide. Before the jump the water has a depth of 1 m and a velocity of 18 m/s. Determine the Froude number before the jump and the depth of flow after the jump
A trapezoidal channel having a bottom width of 6.1 m and side slopes of 1.5H : 1 V is carrying a flow of 126 m3/s at a flow depth of 5.79 m. The bottom slope is 0.00008, Manning n = 0.013 and the channel length is 5 km. There is constant-level reservoir at the upstream end of the channel. A sluice gate at the downstream end is suddenly closed at time t = 0 s. (a) Compute the transient conditions until t = 2000 s by using the method of characteristics. (b) Plot the computed flow depth in the channel at t = 0, 500, 1000, 1500 and 2000 s. (c) Plot the variation of the flow depth with time at 1.5, 2.5, 3.0 and 5.0 km from the reservoir. (d) By using different values of Δt/Δx, investigate the effect of interpolation error on the computed wave height and wave shape. (e) Show that the method of characteristic fails when a shock or bore is formed when the gate is closed in 10 s and the wave propagates in the channel.
A hydraulic Jump occurs in a trapezoidal channel having b=6ft, m=2, and Q=200cfs. The flow depth just before the jump is 1 foot. What is the flow depth after the jump? What is the headloss due to the jump? What type of jump is it? What is the length of the jump?
Fluid Mechanics Reg.no: 5395 Pb # 1: Flow occurs over the spillway of constant section as shown in Figure 1. Given that y1 = 4.2+(Reg.No/100) m and y2 = 0.7+(Reg.No/100) m. Determine the resultant horizontal force on the spillway per meter of spillway width (perpendicular to the spillway section). Assume ideal flow.
A hydraulic jump occurs in a triangular channel having a side slope of 1H:1V, The flow rate is 0.59 m3/s and the depth before the jump is 0.39m. Compute the height of the jump 1.64 1.46 0.64 0.46
Determine the normal depth of a flow in a concrete lined rectangular channel 20.0M wide carrying 150m3/s with a bed slope of 0.0025 and Manning'"s n of 0.016,assuming the channel can be considered as wide
A 4m wide creek with a rectangular cross-section is carrying a flow with flow rate Q = 20m3/s down a steep slope (Fig. 3). The flow experiences a hydraulic jump as it encounters a flat section. Given the upstream water depth h1 is 1.2m before the hydraulic jump, 1. Find the downstream water depth h2. 2. Find the total energy head loss across the hydraulic jump. 3. Find the flow velocity upstream and downstream of the hydraulic jump.
The incoming flow rate is 200 m3/s on a rectangular channel with: depth = 3 meters width = 4 meters Then, a hydraulic jump occurred along the way. Determine the depth at the hydraulic jump section.
A rectangular channel of (4m) width and the discharge rate is (2 m³/sec) with slope of (1/3000), if the velocity is (4.5 m/sec) determine: 1- Hence hydraulic jump is possible or not. 2- Height of hydraulic jump. 3- Length of hydraulic jump. 4- Percentage of energy dissipated by hydraulic jump.
the incoming flow rate is 100m3/s on a rectangular channel with: depth = 3m width = 4 meters Then, a hydraulic jump occurred along the way. Determine the depth at the hydraulic jump section.
The depth of flow of water at a certain section of a rectangular channel 4 m wide is 0.5 m and the flow rate is 16 m3/sec. If a hydraulic jump takes place on the downstream side, fing depth of flow after the jump.
4. A rectangular channel 5 m wide carries a discharge of 15+Y m3/s. The observed velocity at a particular point in the channel is 2.0 m/s. (Y= 3). a. What is the specific energy of the flow at this point?b. What is the critical depth and critical velocity in the channel?c. hat will be the step up necessary that will produce critical depth?d. If you have to create critical depth by narrowing the width of the channel what will be width?e. If you decide to create critical depth using slope, calculate the slope with n=0.03.

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