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Calculate the discharge through a channel having a bed slope 1 in 1000, area 12m2, hydraulic radius of 1.2m and Chezy’s constant being equal to 50.
- a)17.98 m3/s
- b)18.98 m3/s
- c)19.98 m3/s
- d)20.98 m3/s
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Calculate the discharge through a channel having a bed slope 1 in 1000...
The Chezy coefficient (C) is a constant that relates the flow velocity and other parameters in the Manning's equation. It can be calculated using the Manning's equation:
Q = (C * A * R^(2/3) * S^(1/2))
Where:
Q = Discharge (m^3/s)
C = Chezy coefficient
A = Cross-sectional area of the channel (m^2)
R = Hydraulic radius (m)
S = Bed slope
Given:
A = 12 m^2
R = 1.2 m
S = 1 in 1000 = 0.001
We need to calculate the Chezy coefficient (C). Rearranging the Manning's equation:
C = Q / (A * R^(2/3) * S^(1/2))
Substituting the given values:
C = Q / (12 * 1.2^(2/3) * 0.001^(1/2))
C = Q / (12 * 1.2^(2/3) * 0.001^(1/2))
Next, we need more information to calculate the discharge (Q).
Q = (C * A * R^(2/3) * S^(1/2))
Where:
Q = Discharge (m^3/s)
C = Chezy coefficient
A = Cross-sectional area of the channel (m^2)
R = Hydraulic radius (m)
S = Bed slope
Given:
A = 12 m^2
R = 1.2 m
S = 1 in 1000 = 0.001
We need to calculate the Chezy coefficient (C). Rearranging the Manning's equation:
C = Q / (A * R^(2/3) * S^(1/2))
Substituting the given values:
C = Q / (12 * 1.2^(2/3) * 0.001^(1/2))
C = Q / (12 * 1.2^(2/3) * 0.001^(1/2))
Next, we need more information to calculate the discharge (Q).
Community Answer
Calculate the discharge through a channel having a bed slope 1 in 1000...
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Calculate the discharge through a channel having a bed slope 1 in 1000, area 12m2, hydraulic radius of 1.2m and Chezy’s constant being equal to 50.a)17.98 m3/sb)18.98 m3/sc)19.98 m3/sd)20.98 m3/sCorrect answer is option 'D'. Can you explain this answer?
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