Manning's Formula for Roughness Coefficient given Chezy's Constant Calculator

✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ Chezy's Constant [C]			+10% -10%
✖Hydraulic Depth is defined as depth which in contact with water.ⓘ Hydraulic Depth [D_Hydraulic]			+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 Chezy's Constant [n]

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Manning's Formula for Roughness Coefficient given Chezy's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6)
n = (1/C)*D_Hydraulic^(1/6)
This formula uses 3 Variables

Variables Used

Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Chezy's Constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.
Hydraulic Depth - (Measured in Meter) - Hydraulic Depth is defined as depth which in contact with water.

STEP 1: Convert Input(s) to Base Unit

Chezy's Constant: 40 --> No Conversion Required
Hydraulic Depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = (1/C)*D_Hydraulic^(1/6) --> (1/40)*3^(1/6)

Evaluating ... ...

n = 0.0300234238794001

STEP 3: Convert Result to Output's Unit

0.0300234238794001 --> No Conversion Required

FINAL ANSWER

0.0300234238794001 ≈ 0.030023 <-- Manning’s Roughness Coefficient

(Calculation completed in 00.004 seconds)

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< Manning's Formula in Uniform Flow Calculators

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LaTeX Go Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2)

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LaTeX Go Manning’s Roughness Coefficient = (1/Average Velocity of Uniform Flow)*(Bed Slope^(1/2))*(Hydraulic Radius of Channel^(2/3))

Manning's Formula for Average Velocity

LaTeX Go Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2))

Manning's Formula for Slope of Channel Bed given Average Velocity

LaTeX Go Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2)

Manning's Formula for Roughness Coefficient given Chezy's Constant Formula

LaTeX Go

Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6)
n = (1/C)*D_Hydraulic^(1/6)

What is a Manning's constant?

Manning's n value is a unitless coefficient that represents the roughness or friction factor of the conduit. Rougher conduits with higher friction have a higher value, and smoother conduits with lower friction have a lower value.

How to Calculate Manning's Formula for Roughness Coefficient given Chezy's Constant?

Manning's Formula for Roughness Coefficient given Chezy's Constant calculator uses Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6) to calculate the Manning’s Roughness Coefficient, The Manning's Formula for Roughness Coefficient given Chezy's Constant formula is defined as the roughness coefficient by considering Chezy's constant or coefficient and the hydraulic mean depth by using Manning's formula. Manning’s Roughness Coefficient is denoted by n symbol.

How to calculate Manning's Formula for Roughness Coefficient given Chezy's Constant using this online calculator? To use this online calculator for Manning's Formula for Roughness Coefficient given Chezy's Constant, enter Chezy's Constant (C) & Hydraulic Depth (D_Hydraulic) and hit the calculate button. Here is how the Manning's Formula for Roughness Coefficient given Chezy's Constant calculation can be explained with given input values -> 0.030023 = (1/40)*3^(1/6).

FAQ

What is Manning's Formula for Roughness Coefficient given Chezy's Constant?

The Manning's Formula for Roughness Coefficient given Chezy's Constant formula is defined as the roughness coefficient by considering Chezy's constant or coefficient and the hydraulic mean depth by using Manning's formula and is represented as n = (1/C)*D_Hydraulic^(1/6) or Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6). The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula & Hydraulic Depth is defined as depth which in contact with water.

How to calculate Manning's Formula for Roughness Coefficient given Chezy's Constant?

The Manning's Formula for Roughness Coefficient given Chezy's Constant formula is defined as the roughness coefficient by considering Chezy's constant or coefficient and the hydraulic mean depth by using Manning's formula is calculated using Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6). To calculate Manning's Formula for Roughness Coefficient given Chezy's Constant, you need Chezy's Constant (C) & Hydraulic Depth (D_Hydraulic). With our tool, you need to enter the respective value for Chezy's Constant & Hydraulic Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Manning’s Roughness Coefficient?

In this formula, Manning’s Roughness Coefficient uses Chezy's Constant & Hydraulic Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Manning’s Roughness Coefficient = (1/Average Velocity of Uniform Flow)*(Bed Slope^(1/2))*(Hydraulic Radius of Channel^(2/3))
Manning’s Roughness Coefficient = (Roughness Value^(1/6))/21

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