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

✖Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.ⓘ Conveyance Factor [C_f]			+10% -10%
✖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.ⓘ Cross-Sectional Area of Channel [A_cs]			+10% -10%
✖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.ⓘ Hydraulic Radius of Channel [R_H]			+10% -10%

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning's Formula for Roughness Coefficient given Conveyance of Section [n]

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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/C_f)*A_cs*(R_H^(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/C_f)*A_cs*(R_H^(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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< Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

LaTeX Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))

Discharge through Channel

LaTeX 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

LaTeX 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

LaTeX Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel

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

LaTeX Go

Manning’s Roughness Coefficient = (1/Conveyance Factor)*Cross-Sectional Area of Channel*(Hydraulic Radius of Channel^(2/3))
n = (1/C_f)*A_cs*(R_H^(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 (C_f), Cross-Sectional Area of Channel (A_cs) & Hydraulic Radius of Channel (R_H) 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/C_f)*A_cs*(R_H^(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 (C_f), Cross-Sectional Area of Channel (A_cs) & Hydraulic Radius of Channel (R_H). 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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