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Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.?
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Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Be...
Calculation of Distance Upstream to a Point where Depth is 3.7 m
Step 1: Calculation of Velocity and Flow Area
- Given, width of rectangular channel (b) = 15 m
- Flow rate of water (Q) = 115 m3/s
- Bed slope (S) = 0.001
- Chezy's coefficient (C) = n = 0.0125
Using Chezy's equation,
C = (g * R1/2) / (n * A)
Where, g = acceleration due to gravity = 9.81 m/s2
R = hydraulic radius = A / P
A = flow area
P = wetted perimeter
Where, g = acceleration due to gravity = 9.81 m/s2
R = hydraulic radius = A / P
A = flow area
P = wetted perimeter
Now, the velocity (V) can be calculated using the formula,
V = C * (R * S)1/2
Using these formulas, the flow area and velocity can be calculated as follows:
- Wetted perimeter (P) = b + 2y
- Hydraulic radius (R) = A / P
- Flow area (A) = Q / V
- Velocity (V) = C * (R * S)1/2
By substituting the given values in the above formulas, we get:
- Wetted perimeter (P) = 15 + 2y
- Hydraulic radius (R) = A / P = (y * 15) / (15 + 2y)
- Flow area (A) = Q / V = 115 / (0.0125 * (y * 15) / (15 + 2y))
- Velocity (V) = C * (R * S)1/2 = 0.0125 * ((y * 15) / (15 + 2y) * 0.001)1/2
Step 2: Calculation of Distance Upstream
- Given, height of water immediately behind the dam (y2) = 6.8 m
- Depth of water at a point upstream (y1) = 3.7 m
Using the equation of continuity,
Q = V1 * A1 = V2 * A2
Where, V1 and A1 are the velocity and flow area at the upstream point
V2 and A2 are the velocity and flow area immediately behind the dam
Where, V1 and A1 are the velocity and flow area at the upstream point
V2 and A2 are the velocity and flow area immediately behind the dam
Now, the
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Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Be...
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Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.?
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Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.?.
Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water flows in 15 m wide rectangular channel at a rate of 115 m3/s. Bed slope is 0.001 and n = 0.0125. A dam placed downstream raises the height to 6.8 m immediately behind the dam. What is the distance upstream to a point where depth is 3.7 m? Find by two steps.?.
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