Note:hand written solution should be avoided. 5 The flow in a trapezoidal open channel is 5 m³/s The trapezoidal section hasa bottom width of 14 m and side slopes of 1 vertical to 3 horizontal Thewater depth Z₁ upstream of the hydraulic jump is 01 ma) Apply the control mass/control volume to find the momentum equation for thehydraulic jump in the trapezoidal channelb) Compute the water depth Z2 downstream of the hydraulic jump98-Civ-A5 May 2009Page 4 of 5HydraulicJumpDownstreamV₂UpstreamZ₁"IV₁Side viewZ210/1

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Answered: 5 The flow in a trapezoidal open…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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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.
Water discharges in too wide rectangular channel slope =0.01 Just apstream the weir where the water depth is 2.5m the flow rate is 5m ^ 3/s As per meter width as shown below Assume n = 0.015 and neglected losses. 1. Find the normal depth, the critical depth and the critical slope? 2. Use the specific energy equation to find the weir height such that the flow over the wer is critical? 3. What water surface profile exists upstream the weir and locate the distance upstream the weit where the water depth equals the normal depth ?
Water on the horizontal apron of the 30 m-wide spillway shown in Fig. E10.8a has a depth of 0.2 m and a velocity of 6 m/s . Determine the depth, y,, after the jump, the Froude numbers before and after the jump, Fr, and Frz. ba width = 30 m Spilway apron V=6 m/s V=0.2 m Downstream
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.
h1 = 10 m, v1=0.5m/s (1) Delta z =0.1 m what are the v2 , h2 -- use both the Specific Energy curve (draw it) and the flow regime matching approaches. (2) Delta z = 9 m what are the flow characteristics (i.e., h2 and v2) use both the specific energy curve (draw it) and the Froude number matching approaches. (3) What is the minimum rise -- smallest delta z – that can cause upstream water depth to back up (in other words, to induce critical flow regime over the bump)
A rectangular channel 3.05 m wide carries 3.4 m3/s uniform flow of water at a depth of 0.6 m. Suppose that an obstruction such as a weir is placed across the channel with the height of 0.2 m above the bottom. (a) Does this weir cause a hydraulic jump upstream of the weir? Why or why not? (b) Calculate the flow depth above the weir, and just upstream of the weir. Classify the surface profile occur upstream of the weir. Sketch the resulting water-surface profile and energy line, showing the critical depth yc and normal depth yo.
Consider a rectangular channel of width b=7.5 m, in which the hydraulic jump occurs and one of its stays is equal to 45 cm. A flow rate Q=54 m3/s passes through the channel. Determine: a) the other conjugate tie rod b) energy losses c) type of jump that occurs d) jump length
Suppose that the rectangular channel of Fig. P10.120 ismade of riveted steel and carries a flow of 8 m3/s on athe slope of 0.15°. If the V-notch weir has α =30° and Y =50 cm, estimate, form gradually varied theory, the waterdepth 100 m upstream.
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.
A rectangular channel flows at a rate of 1m3/s, if the specific energy before the jump is 2.5m and the depth after the jump is 2m. Determine the width if the channel if loss due to hydraulic jump is 0.30m.
Water flows in a wide channel at Fr=4.5 and y1 = 2.40 m. If the flow undergoes a hydraulic jump, calculate: y2
A 170-m long pipeline, composed of two pipes connected in series, discharges freely at a point 40 m below the water level at intake. The pipe projects into the reservoir. The first 100 m is 25 cm in diameter, and the remaining 70 m is 15 cm in diameter. Assuming that f=0.05 for both pipes, (a) find the rate of flow. If the junction of the two sizes of pipe is 25 m below the intake water-surface level, find the pressure head just above C and just below C, where C denotes the point of junction. Assume a sudden contraction at C. Use k=0.8 for entrance, 0.24 for sudden contraction and 1.0 for exit. I will downvote the incorrect solution

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