Chezy Constant using Manning's Formula Calculator

✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%
✖Hydraulic Depth is defined as depth which in contact with water.ⓘ Hydraulic Depth [D_Hydraulic]			+10% -10%

✖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 Constant using Manning's Formula [C]

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Formula

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Chezy Constant using Manning's Formula

Formula

`"C" = (1/"n")*"D"_{"Hydraulic"}^(1/6)`

Example

`"100.0781"=(1/"0.012")*("3m")^(1/6)`

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Chezy Constant using Manning's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
Hydraulic Depth - (Measured in Meter) - Hydraulic Depth is defined as depth which in contact with water.

STEP 1: Convert Input(s) to Base Unit

Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Hydraulic Depth: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (1/n)*D_Hydraulic^(1/6) --> (1/0.012)*3^(1/6)

Evaluating ... ...

C = 100.078079598

STEP 3: Convert Result to Output's Unit

100.078079598 --> No Conversion Required

FINAL ANSWER

100.078079598 ≈ 100.0781 <-- Chezy's Constant

(Calculation completed in 00.004 seconds)

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< 7 Chezy Constant in Uniform Flow Calculators

Chezy Constant through Ganguillet-Kutter Formula

Go Chezy's Constant = (23+(0.00155/Bed Slope)+(1/Manning’s Roughness Coefficient))/(1+(23+(0.00155/Bed Slope))*(Manning’s Roughness Coefficient/sqrt(Hydraulic Depth)))

Chezy Constant given Average Velocity in Channel

Go Chezy's Constant = Average Velocity of Flow/(sqrt(Hydraulic Radius of Channel*Bed Slope))

Average Velocity in Channel given Chezy Constant

Go Average Velocity of Flow = Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope)

Slope of Channel Bed given Average Velocity in Channel with Chezy Constant

Go Bed Slope = ((Average Velocity of Flow/Chezy's Constant)^2)/Hydraulic Radius of Channel

Hydraulic Radius given Average Velocity in Channel with Chezy Constant

Go Hydraulic Radius of Channel = ((Average Velocity of Flow/Chezy's Constant)^2)/Bed Slope

Chezy Constant using Basin Formula

Go Chezy's Constant = 157.6/(1.81+(Bazin's Constant/sqrt(Hydraulic Depth)))

Chezy Constant using Manning's Formula

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

Chezy Constant using Manning's Formula Formula

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

Chezy Constant using Manning's Formula calculator uses Chezy's Constant = (1/Manning’s Roughness Coefficient)*Hydraulic Depth^(1/6) to calculate the Chezy's Constant, The Chezy Constant using Manning's Formula is defined as roughness in open channels, relating flow velocity, hydraulic radius, and slope. Chezy's Constant is denoted by C symbol.

How to calculate Chezy Constant using Manning's Formula using this online calculator? To use this online calculator for Chezy Constant using Manning's Formula, enter Manning’s Roughness Coefficient (n) & Hydraulic Depth (D_Hydraulic) and hit the calculate button. Here is how the Chezy Constant using Manning's Formula calculation can be explained with given input values -> 100.0781 = (1/0.012)*3^(1/6).

FAQ

What is Chezy Constant using Manning's Formula?

The Chezy Constant using Manning's Formula is defined as roughness in open channels, relating flow velocity, hydraulic radius, and slope and is represented as C = (1/n)*D_Hydraulic^(1/6) or Chezy's Constant = (1/Manning’s Roughness Coefficient)*Hydraulic Depth^(1/6). Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & Hydraulic Depth is defined as depth which in contact with water.

How to calculate Chezy Constant using Manning's Formula?

The Chezy Constant using Manning's Formula is defined as roughness in open channels, relating flow velocity, hydraulic radius, and slope is calculated using Chezy's Constant = (1/Manning’s Roughness Coefficient)*Hydraulic Depth^(1/6). To calculate Chezy Constant using Manning's Formula, you need Manning’s Roughness Coefficient (n) & Hydraulic Depth (D_Hydraulic). With our tool, you need to enter the respective value for Manning’s Roughness Coefficient & 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 Chezy's Constant?

In this formula, Chezy's Constant uses Manning’s Roughness Coefficient & Hydraulic Depth. We can use 3 other way(s) to calculate the same, which is/are as follows -

Chezy's Constant = Average Velocity of Flow/(sqrt(Hydraulic Radius of Channel*Bed Slope))
Chezy's Constant = (23+(0.00155/Bed Slope)+(1/Manning’s Roughness Coefficient))/(1+(23+(0.00155/Bed Slope))*(Manning’s Roughness Coefficient/sqrt(Hydraulic Depth)))
Chezy's Constant = 157.6/(1.81+(Bazin's Constant/sqrt(Hydraulic Depth)))

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