Manning's Formula for Roughness Coefficient given Conveyance of Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
n = (1/Cf)*Acs*(RH^(2/3))
This formula uses 4 Variables
Variables Used
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Conveyance Factor - Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
STEP 1: Convert Input(s) to Base Unit
Conveyance Factor: 700 --> No Conversion Required
Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
n = (1/Cf)*Acs*(RH^(2/3)) --> (1/700)*15*(1.6^(2/3))
Evaluating ... ...
n = 0.0293138733716005
STEP 3: Convert Result to Output's Unit
0.0293138733716005 --> No Conversion Required
FINAL ANSWER
0.0293138733716005 0.029314 <-- Manning’s Roughness Coefficient
(Calculation completed in 00.020 seconds)

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19 Computation of Uniform Flow Calculators

Area of Channel Section given Discharge
Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))
Chezy Constant given Discharge
Go Chezy's Constant = Discharge of Channel/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope))
Discharge through Channel
Go Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)
Hydraulic Radius of Channel Section given Discharge
Go Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope
Bed Slope of Channel Section given Discharge
Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel
Area of Channel Section given Conveyance of Channel Section
Go Cross-Sectional Area of Channel = Conveyance Factor/(Chezy's Constant*sqrt(Hydraulic Radius of Channel))
Chezy Constant given Conveyance of Channel Section
Go Chezy's Constant = Conveyance Factor/(Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel))
Conveyance of Channel Section
Go Conveyance Factor = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel)
Manning's Formula for Hydraulic Radius of Channel Section given Conveyance of Section
Go Hydraulic Radius of Channel = (Conveyance Factor/((1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel))^(3/2)
Area of Channel Section by Manning's Formula
Go Cross-Sectional Area of Channel = Conveyance Factor/((1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3)))
Manning's Formula for Roughness Coefficient given Conveyance of Section
Go Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
Manning's Formula for Conveyance of Section
Go Conveyance Factor = (1/Manning’s Roughness Coefficient)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
Hydraulic Radius of Channel Section given Conveyance of Channel Section
Go Hydraulic Radius of Channel = (Conveyance Factor/(Chezy's Constant*Cross-Sectional Area of Channel))^2
Manning's Formula for Discharge given Conveyance
Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Manning's Formula for Conveyance given Discharge
Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
Discharge given Conveyance
Go Discharge of Channel = Conveyance Factor*sqrt(Bed Slope)
Conveyance given Discharge
Go Conveyance Factor = Discharge of Channel/sqrt(Bed Slope)
Manning's Formula for Bed Slope given Discharge
Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2
Bed Slope given Conveyance Factor
Go Bed Slope = (Discharge of Channel/Conveyance Factor)^2

Manning's Formula for Roughness Coefficient given Conveyance of Section Formula

Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
n = (1/Cf)*Acs*(RH^(2/3))

What is Manning's Coefficient?

The Manning's n is a coefficient which represents the roughness or friction applied to the flow by the channel.

How to Calculate Manning's Formula for Roughness Coefficient given Conveyance of Section?

Manning's Formula for Roughness Coefficient given Conveyance of Section calculator uses Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3)) to calculate the Manning’s Roughness Coefficient, The Manning's Formula for Roughness Coefficient given Conveyance of Section formula is defined as the surface roughness parameter that influences flow velocity in open channels. Manning’s Roughness Coefficient is denoted by n symbol.

How to calculate Manning's Formula for Roughness Coefficient given Conveyance of Section using this online calculator? To use this online calculator for Manning's Formula for Roughness Coefficient given Conveyance of Section, enter Conveyance Factor (Cf), Cross-Sectional Area of Channel (Acs) & Hydraulic Radius of Channel (RH) and hit the calculate button. Here is how the Manning's Formula for Roughness Coefficient given Conveyance of Section calculation can be explained with given input values -> 0.006644 = (1/700)*15*(1.6^(2/3)).

FAQ

What is Manning's Formula for Roughness Coefficient given Conveyance of Section?
The Manning's Formula for Roughness Coefficient given Conveyance of Section formula is defined as the surface roughness parameter that influences flow velocity in open channels and is represented as n = (1/Cf)*Acs*(RH^(2/3)) or Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3)). Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf, Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
How to calculate Manning's Formula for Roughness Coefficient given Conveyance of Section?
The Manning's Formula for Roughness Coefficient given Conveyance of Section formula is defined as the surface roughness parameter that influences flow velocity in open channels is calculated using Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3)). To calculate Manning's Formula for Roughness Coefficient given Conveyance of Section, you need Conveyance Factor (Cf), Cross-Sectional Area of Channel (Acs) & Hydraulic Radius of Channel (RH). With our tool, you need to enter the respective value for Conveyance Factor, Cross-Sectional Area of Channel & Hydraulic Radius of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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