The specific energy diagram for a channel transition is shown on the next page. The drop in the channel bottom has been designed such that the decrease in channel width just barely avoids damming. The upstream depth is 1.5 m, and the specific energy is 1.7 m. Assuming a rectangular channel, what is the amount of channel drop and the downstream width of the channel if the total discharge is 15 m3/s?
The specific energy diagram for a channel transition is shown on the next page. The drop...
chanud! Par ritengaalr Alternative a for rectes gual 25 pts) A rectangular channel is 3.50 m wide conveys a discharge of 14.0 m/s at a depth of 2.0 m. It is proposed to reduce the width of the channel at a hydraulic structure. Assuming the transition to be horizontal and the flow to be frictionless determine the water surface elevations upstream and downstream of the constriction when the constricted width is: (a) 3 m. (Plot the specific energy versus depth...
8. (12 Points) Sketch a specific energy diagram and show Points 1 and 2 for each of the following cases (i.e., you should have one specific energy diagram for Case I and one diagram for Case 2 which is on the next page). You must write out the energy balance equation to receive full credit. ase a. Channel with a gradual increase in channel width from B to B2 (see b. c. d. diagram) Point 1 (upstream) condition is super-critical...
hydraulics and hydrology please use EXCEL hydraulics and hydrology Use the specific energy diagram in part (a) to answer parts (b), (c), and (d). Hint: a spreadsheet is helpful to prepare the specific energy diagram. For part (a), set the limits on both axes to 10.0 ft. Also, include the line y E in your specific energy diagram. 14.3 A trapezoidal channel with a side slope of 1 (vertical):2(horizontal) and a bottom width of 10 ft carries a discharge of...
A canoer is aimlessly paddling in the 15 m wide rectangular channel downstream of a dam. The water depth and discharge in the channel are 5 m and 175 m3/s respectively. The dam operator assumes that the channel is clear, and ‘instantaneously’ ramps up the discharge to 210 m3/s, creating a surge that moves downstream. If the canoer is 350 m downstream of the surge at the instant that the surge is created and is able to paddle 1.5 m/s more than the speed of the water below him, will he make it to the dock that is 175 m downstream of him before being hit by the surge?
Q1) Consider a rectangular channel with a constant width b, a) Obtain the equation of water surface profile (dy/dx) as function of Froude number and channel bottom slope in a channel transition assuming that over a short distance Ax, the energy losses can be neglected. b) Using the equation you have obtained, draw the water surface profile if flow is supercritical and if there is a downward step at the channel bed and show your results on the graph of...
QUESTION 30 Sluice gate of 3 m wide horizontal rectangular channel is discharging freely as shown in the figure. If the depths a small distance upstream (Y1) and downstream (Y2) are 3 m and 0.2 m respectively, estimate the discharge in the channel I. By neglecting the energy loss at the gate, ll. By assuming the energy loss at the gate to be 7% of the upstream depth Y! III. Using part (.), find the net force on the gate...
14.9 Example: Specific Energy Erample 14.4. A rectangular channel with B 25 m carries water at Q - 6.48 ma/s. (a) Find critical depth, (b) minimum specific energy, (c) plot E curve (d) alternate depths and corresponding Froude numbers when E 1.5 m and (e) plot q-curve when E 1.5 m
A 4-m high dam with a slope of 8:1 ?V) has been proposed to ensure steady water levels in a rectangular channel with a width of 5 m, a bottom slope of 0.2%, a Manning's n of 0.02, and discharge rate of 10 m3/s as shown below. proposed aim So-0.002 1. (15 points) Sketch out the gradually varied flow profiles for the water surface around the proposed dam by hand a. Determine the critical depth for the channel b. Estimate...
Q1) Figure below indicates a rectangular channel connecting two reservoirs. The ch 385.88 m at the 1.22 m. The upstream gate is open by 61 cm. Thus, water is released to the channel at a rate of 15 cms l consists of rent properties given in the table below. The water surfaces locate at elevations 388 3) thre upstream and downstream reservoirs, respectively. The depth at the upstream a) Determine normal and critical depths in each reach. Classify the reaches...
In fluid mechanics, we often present results in a non-dimensional form. In specific energy, the critical depth yc can be used to non-dimensionalize quantities. Create a single figure containing both the E-y curve and M/B-y curve in non-dimensional form. The specific energy diagram will become E/yc vs. y/yc and the momentum function (per unit width) will become M/( yc 2B) vs. y/yc. Note that the y-axis quantities are the same and both E/yc and M/( yc 2B) are plotted on...