Question

Water is flowing at a velocity of 5m/s and a depth of 0.3m in a channel...

Water is flowing at a velocity of 5m/s and a depth of 0.3m in a channel of rectangular cross-section that has a width of 3m. Find the change in depth, and in absolute water level produced by:

(a) a smooth contraction in channel width of 0.3m

(b) a smooth expansion in channel width of 0.3m.

(c) Also find the greatest allowable contraction in width for the upstream flow to be possible as specified.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Water is flowing through a rectangular channel. The velocity is .5m/s and the depth 1.4m. A...
Water is flowing through a rectangular channel. The velocity is .5m/s and the depth 1.4m. A smooth rise occurs of .6m (B) in the channel bed. Is the flow subcritical or supercritical? Estimate the depth of flow after the rise.
Water flows with a velocity of 2m/s and at a depth of 3m in a rectangular...
Water flows with a velocity of 2m/s and at a depth of 3m in a rectangular channel. Neglect headlosses. a) What is the change in depth and in water surface elevation produced by an upward change in elevation (up-step) of 60 cm? (Answer with steps plz)
A rectangular channel narrows through a smooth transition of 3 m at section 1 to 2.7...
A rectangular channel narrows through a smooth transition of 3 m at section 1 to 2.7 m at section 2. Determine the flow depth and velocity at section 2. What is the narrowest width possible at section 2 without changing the upstream conditions.
7. A) Find the depth of water flowing through a triangular channel having a bed slope...
7. A) Find the depth of water flowing through a triangular channel having a bed slope of 1 in 3500 and side slope of 1:1, when it carries 1.2 m3/s. Take Manning’s Coefficient N = 0.014 B) For a most economical trapezoidal section of side slope 2h: 5V, bed slope of 1 in 2000 and C = 50. Find the rate of flow if the bottom width of the channel is 5 m.
A rectangular pipe 5m long with a cross-sectional width of 0.3m and crosssectional height of 0.15m...
A rectangular pipe 5m long with a cross-sectional width of 0.3m and crosssectional height of 0.15m is full of running water, moving at 15m/s. This pipe then splits into 5 smaller pipes, each with a circular cross section, all with a radius of 0.12m. 1) Calculate the flow rate in the rectangular pipe. 2) Calculate the water’s speed in each of the 5 circular pipes. 3) Assuming that the circular pipes are each 2m long, and empty into the open...
Q2. Considering a vertical sluice gate in a horizontal smooth rectangular channel, the upstream and downstream...
Q2. Considering a vertical sluice gate in a horizontal smooth rectangular channel, the upstream and downstream water depths are 5.1 and 0.45 m, respectively. The upstream flow velocity is 0.5 m/s and the channel width is 27 m. Calculate the downstream flow velocity and the force acting on the sluice gate. Draw the control volume and show the forces acting on the sluice gate.
A new bridge is being placed in a channel to accommodate a new development. The existing...
A new bridge is being placed in a channel to accommodate a new development. The existing concrete lined (n=0.013) rectangular channel is 45 feet wide with a flow depth of 10 feet and flowrate of 1,500 cfs. A contraction needs to be placed to reduce the cost of installing a bridge over the channel. What is the smallest possible contraction (width) that can occur so that the upstream flows do not overtop the channel? (show work)
Water flows in a rectangular concrete channel that is 10 m wide and has a slope...
Water flows in a rectangular concrete channel that is 10 m wide and has a slope of 0.005. The depth of the uniform flow in the channel (y1) is 450 mm and the discharge per width of the water is 2.2 m2/s. The downstream channel is smooth, and a hydraulic jump is forced to form in the channel by installing a sill. Calculate: (i) the depth and velocity of the water downstream of the hydraulic jump; (ii) the difference in...
A discharge of 4.25 m3 /s occurs within a trapezoidal channel with a base width of...
A discharge of 4.25 m3 /s occurs within a trapezoidal channel with a base width of 3m, 3:1 side slopes (i.e. Z = 3), a longitudinal bed slope of 0.0009 m/m with a Manning’s roughness coefficient of 0.025 (i.e. sand). State the normal flow depth (yn) critical flow depth (yc) and the Froude Number of the flowing water.
A 5-m wide rectangular channel with two reaches, each with a different slope, conveys 40m3/s of...
A 5-m wide rectangular channel with two reaches, each with a different slope, conveys 40m3/s of water. The channel slope for the first reach is 0.0005 and then a sudden change to a slope of 0.015 so that critical flow occurs at the transition. Determine the depths of flow at locations 10 m, 20 m and 30 m upstream of the critical depth. The Manning’s n for the channel is 0.015.