Problem 1 Water flows in a rectangular channel of constant width with a flowrate per unit width of q = 2.5 m²/s. Below is the specific energy curve for this particular flow condition. Depth (m) 3 2.5 2 1.5 1 0.5 0 1 1.5 2 E (m) 2.5 3 a) Write and simplify the specific energy equation for this problem. Write E as a function of y b) Determine the two possible depths of flow if the specific energy is 2.5 m. Show them on the graph above. c) Using the graph, determine the minimum specific energy and critical depth. Label them appropriately on the graph. d) Calculate the Froude number for both depths found in (b)

Problem 1 Water flows in a rectangular channel of constant width with a flowrate per unit width of q = 2.5 m²/s. Below is the specific energy curve for this particular flow condition. Depth (m) 3 2.5 2 1.5 1 0.5 0 1 1.5 2 E (m) 2.5 3 a) Write and simplify the specific energy equation for this problem. Write E as a function of y b) Determine the two possible depths of flow if the specific energy is 2.5 m. Show them on the graph above. c) Using the graph, determine the minimum specific energy and critical depth. Label them appropriately on the graph. d) Calculate the Froude number for both depths found in (b)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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.
A wide rectangular channel excavated from clean earth with n=0.013 carries a unit of discharge of 4 m3/s per meter. a. Determine the critical depth. b. Determine the minimum specific energy in m. c. If the depth of flow is 1m, calculate the slope of energy line for normal flow conditions.
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)
Determine the dimensions and the critical depth of the following open channels cross-sections of maximum hydraulic efficiency/most efficient section if the wetted area is 1.0 square meters and carrying a discharge equal to 2 cubic meters per second. Draw the cross section of the channel approximately scaled with proper dimensioning considering it as flowing flash full. a. Rectangular Section b. Triangular Section c. Trapezoidal section with its sides inclined from vertical by 400 respectively.
Water Resource Engineering: Open Channel Flow For a triangular channel, the top width, T is given as: T = 2zy where z is the horizontal portion of the side slope of the channel and y is the channel depth. The area of a triangular channel, A is given as: A = zy2 Given the above information and using the equation: 1 = TQ2/gA3 Solve for the critical depth, yc and the minimum specific energy. Note: remember the discharge, Q = qT
A rectangular open channel, with a constant discharge of 32m3/s, has a smooth expansion from (1) to (2) as shown in figure Q2 in the flow direction. At (1) the channel is 3.6m wide and the water depth is 2.4m . At (2) the water depth is 0.8m. Plot and annotate the specific energy curve for the flow at section (1).
In an open rectangular channel of width 10 ft, Discharge is 200 ft³/sec and let total specific energy (E) = 6 ft. determine the two possible flow depths and plot the graph between flow depth and specific energy up to depth of 8 ft.
Compute the specific energy (E) for a channel with a flow depth of 1.3 m, anaverage velocity of 0.8 m/s, and a bed slope of 0.014 m/m. The velocity is non uniformlydistributed across the cross section and the average velocity is taken from a 1/N powerlaw distribution where N = 6.
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.
Water is flowing in a rectangular channel that has a width b=3 m. If the depth of flow y = 2 m and Froud Number NF=3.3, then the flow rate(Q) in the channel is
A spillway discharges a flood flow at a rate of q= 7.75 m3/s per meter width. At the downstream horizontal apron, the depth of flow was found to be 0.50 m. What tail water depth, y2 is needed to form a hydraulic jump? If a jump is formed, find its Type of jump, Energy loss, Percentage of energy loss to the initial energy Power dissipated per meter width of the channel
Determine the dimensions and the critical depth of the following open channels cross-sections of maximum hydraulic efficiency/most efficient section if the wetted area is 1.0 square meters and carrying a discharge equal to 2 cubic meters per second. Draw the cross section of the channel approximately scaled with proper dimensioning considering it as flowing flash full. Rectangular Section Triangular Section Trapezoidal section with its sides inclined from vertical by 400respectively.