Question

In: Civil Engineering

Consider a rectangular channel with a variable width b and horizontal channel bottom, a) Obtain the...

Consider a rectangular channel with a variable width b and horizontal channel bottom, a) Obtain the equation of water surface profile (dy/dx) as function of Froude number and channel width change (db/dx) in a channel transition assuming that over a short distance x, the energy losses can be neglected. b) Using the equation you have obtained, draw the water surface profile if flow is subcritical and if there is an enlargement in channel cross section b in downstream section (2) and show your results on the graph of specific energy curve (E versus y curve).

Solutions

Expert Solution

Ally Wells answered 8 months ago
Next > < Previous

Related Solutions

Consider a rectangular channel with a variable width b and horizontal channel bottom, a) Obtain the...
Consider a rectangular channel with a variable width b and horizontal channel bottom, a) Obtain the equation of water surface profile (dy/dx) as function of Froude number and channel width change (db/dx) in a channel transition assuming that over a short distance x, the energy losses can be neglected. b) Using the equation you have obtained, draw the water surface profile if flow is subcritical and if there is an enlargement in channel cross section b in downstream section (2)...
Consider a rectangular channel with a variable width b and horizontal channel bottom, a) Obtain the...
Consider a rectangular channel with a variable width b and horizontal channel bottom, a) Obtain the equation of water surface profile (dy/dx) as function of Froude number and channel width change (db/dx) in a channel transition assuming that over a short distance x, the energy losses can be neglected. b) Using the equation you have obtained, draw the water surface profile if flow is subcritical and if there is an enlargement in channel cross section b in downstream section (2)...
A rectangular channel of bottom width B = 7 m carries an average discharge of Q...
A rectangular channel of bottom width B = 7 m carries an average discharge of Q = 8 m3/s. There are two successive long reaches. The first reach has s01=0.015 and n1=0.010; and the second reach has s02=0.0017 and n2=0.021. Classify the slopes.
A rectangular laboratory channel has a bottom width of 6.0 in, a Manning roughness coefficient of...
A rectangular laboratory channel has a bottom width of 6.0 in, a Manning roughness coefficient of n = 0.010, longitudinal slope of 2% (So = 0.02). The discharge is 180 gpm. Assume α = 1. The water depth is 2.5 inches at Point A, and 3.0 inches at Point B. The normal depth is 2.066 in and critical depth is 3.228 in. (a) Use the direct step method with one step (Δy = 0.5 in) to determine the distance from...
Consider a rectangular plate of width L and height W. Three of the sides (left, bottom,...
Consider a rectangular plate of width L and height W. Three of the sides (left, bottom, and right side) are maintained at a constant temperature of T1 whereas the top side is maintained at T2. Write a general computer program to solve for the steady state temperature solution of the plate using finite difference techniques and the Gauss-Seidel iterative method for any arbitrary grid mesh m x n. Obtain a temperature solution using a grid mesh of 10x10, 20x20, and...
B. A trapezoidal channel with a bottom width of 4 m and side slopes 4H: 1V...
B. A trapezoidal channel with a bottom width of 4 m and side slopes 4H: 1V carries a discharge of 30 m3 /s. The channel has bed slope= 0.1 % and manning roughness coefficient = 0.015. Determine the following: i. the minimum specific energy ii. the normal depth iii. the critical slope iv. state of the flow in the channel
A trapezoidal channel having bottom width 6m ,side slopes 2 horizontal to 1 vertical ,Mannings n=...
A trapezoidal channel having bottom width 6m ,side slopes 2 horizontal to 1 vertical ,Mannings n= 0.025 and bottom slope 0.016 ,carries a discharge of 10 m3/sec . Compute the back water profile created by the dam which backs up the water to a depth of 2.0 m immediately behind the dam ((Direct method if it is possible))
A trapezoidal channel having bottom width 6m ,side slopes 2 horizontal to 1 vertical ,Manning’s n=...
A trapezoidal channel having bottom width 6m ,side slopes 2 horizontal to 1 vertical ,Manning’s n= 0.025 and bottom slope 0.016 ,carries a discharge of 10 m3/sec . Compute the back water profile created by the dam which backs up the water to a depth of (3) immediately behind the dam.                                                                [ 5 Marks ] ( THIS SHOULD BE DONE USING EXCEL SHEET )
A trapezoidal earthen channel that is straight and in good condition with a bottom width of...
A trapezoidal earthen channel that is straight and in good condition with a bottom width of 5.0 ft with side slopes on the left side of 2H to 1V and on the right side of 3H to 1V (two different side slopes) carries a discharge of 200 cfs for a 15-year design storm. The channel slope is 0.001 ft/ft. Determine the following: a) Normal Depth b) Critical Depth c) Critical Slope d) Froude number f) What is the flow type?
For a trapezoidal-shaped, concrete-finished gravel bottom channel along a 0.5% slope, with a bottom width of...
For a trapezoidal-shaped, concrete-finished gravel bottom channel along a 0.5% slope, with a bottom width of 8 feet, a top width of 32 feet, and side slopes of 4:1, calculate: a. the channel’s full capacity discharge, b. velocity at full capacity discharge, and c. discharge and velocity when stream flow is 0.5 feet from the top of the channel.
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT