Chezy Constant through Ganguillet-Kutter Formula Calculator

✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%
✖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 through Ganguillet-Kutter Formula [C]

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Chezy Constant through Ganguillet-Kutter Formula

Formula

`"C" = (23+(0.00155/"S")+(1/"n"))/(1+(23+(0.00155/"S"))*("n"/sqrt("D"_{"Hydraulic"})))`

Example

`"92.90908"=(23+(0.00155/"0.0004")+(1/"0.012"))/(1+(23+(0.00155/"0.0004"))*("0.012"/sqrt("3m")))`

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Chezy Constant through Ganguillet-Kutter Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
C = (23+(0.00155/S)+(1/n))/(1+(23+(0.00155/S))*(n/sqrt(D_Hydraulic)))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
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

Bed Slope: 0.0004 --> No Conversion Required
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 = (23+(0.00155/S)+(1/n))/(1+(23+(0.00155/S))*(n/sqrt(D_Hydraulic))) --> (23+(0.00155/0.0004)+(1/0.012))/(1+(23+(0.00155/0.0004))*(0.012/sqrt(3)))

Evaluating ... ...

C = 92.9090836048457

STEP 3: Convert Result to Output's Unit

92.9090836048457 --> No Conversion Required

FINAL ANSWER

92.9090836048457 ≈ 92.90908 <-- Chezy's Constant

(Calculation completed in 00.020 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 through Ganguillet-Kutter Formula Formula

What is a Chezy Constant?

The chezy's constant 'C' is a dimensionless quantity which can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

How to Calculate Chezy Constant through Ganguillet-Kutter Formula?

Chezy Constant through Ganguillet-Kutter Formula calculator uses 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))) to calculate the Chezy's Constant, The Chezy Constant through Ganguillet-Kutter Formula is defined as the relating roughness, slope, and cross-sectional area. Chezy's Constant is denoted by C symbol.

How to calculate Chezy Constant through Ganguillet-Kutter Formula using this online calculator? To use this online calculator for Chezy Constant through Ganguillet-Kutter Formula, enter Bed Slope (S), Manning’s Roughness Coefficient (n) & Hydraulic Depth (D_Hydraulic) and hit the calculate button. Here is how the Chezy Constant through Ganguillet-Kutter Formula calculation can be explained with given input values -> 92.90908 = (23+(0.00155/0.0004)+(1/0.012))/(1+(23+(0.00155/0.0004))*(0.012/sqrt(3))).

FAQ

What is Chezy Constant through Ganguillet-Kutter Formula?

The Chezy Constant through Ganguillet-Kutter Formula is defined as the relating roughness, slope, and cross-sectional area and is represented as C = (23+(0.00155/S)+(1/n))/(1+(23+(0.00155/S))*(n/sqrt(D_Hydraulic))) or 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))). Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow, 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 through Ganguillet-Kutter Formula?

The Chezy Constant through Ganguillet-Kutter Formula is defined as the relating roughness, slope, and cross-sectional area is calculated using 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))). To calculate Chezy Constant through Ganguillet-Kutter Formula, you need Bed Slope (S), Manning’s Roughness Coefficient (n) & Hydraulic Depth (D_Hydraulic). With our tool, you need to enter the respective value for Bed Slope, 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 Bed Slope, 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 = 157.6/(1.81+(Bazin's Constant/sqrt(Hydraulic Depth)))
Chezy's Constant = (1/Manning’s Roughness Coefficient)*Hydraulic Depth^(1/6)

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