Chezy's Constant by Kutter's Formula Calculator

✖Bed slope of the sewer under consideration.ⓘ Bed slope [s]			+10% -10%
✖Rugosity coefficient depend upon the type of channel surface.ⓘ Rugosity coefficient [n]			+10% -10%
✖The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.ⓘ Hydraulic mean depth [m]			+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's Constant by Kutter's Formula [C]

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Chezy's Constant by Kutter's Formula

Formula

`"C" = ((23+(0.00155/"s"))+(1/"n"))/(1+(23+(0.00155/"s"))*("n"/sqrt("m")))`

Example

`"80.84687"=((23+(0.00155/"2"))+(1/"0.015"))/(1+(23+(0.00155/"2"))*("0.015"/sqrt("10m")))`

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Chezy's Constant by Kutter's Formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chezy's constant = ((23+(0.00155/Bed slope))+(1/Rugosity coefficient))/(1+(23+(0.00155/Bed slope))*(Rugosity coefficient/sqrt(Hydraulic mean depth)))
C = ((23+(0.00155/s))+(1/n))/(1+(23+(0.00155/s))*(n/sqrt(m)))
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 of the sewer under consideration.
Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Hydraulic mean depth - (Measured in Meter) - The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.

STEP 1: Convert Input(s) to Base Unit

Bed slope: 2 --> No Conversion Required
Rugosity coefficient: 0.015 --> No Conversion Required
Hydraulic mean depth: 10 Meter --> 10 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(m))) --> ((23+(0.00155/2))+(1/0.015))/(1+(23+(0.00155/2))*(0.015/sqrt(10)))

Evaluating ... ...

C = 80.8468662183189

STEP 3: Convert Result to Output's Unit

80.8468662183189 --> No Conversion Required

FINAL ANSWER

80.8468662183189 ≈ 80.84687 <-- Chezy's constant

(Calculation completed in 00.004 seconds)

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Hydraulic Mean Depth given Chezy's Constant by Kutter's Formula

Go Hydraulic mean depth = ((Chézy’s Coefficients*(23+(0.00155/Bed slope))*Rugosity coefficient)/((1/Rugosity coefficient)+(23+(0.00155/Bed slope))-Chezy's constant))^2

Chezy's Constant by Kutter's Formula

Go Chezy's constant = ((23+(0.00155/Bed slope))+(1/Rugosity coefficient))/(1+(23+(0.00155/Bed slope))*(Rugosity coefficient/sqrt(Hydraulic mean depth)))

Chezy's Constant by Kutter's Formula Formula

What is chezy's constant ?

In general the Chezy coefficient is a function of the flow Reynolds Number and the relative roughness of the channel.ε is the characteristic height of the roughness elements on the channel boundary.

How to Calculate Chezy's Constant by Kutter's Formula?

Chezy's Constant by Kutter's Formula calculator uses Chezy's constant = ((23+(0.00155/Bed slope))+(1/Rugosity coefficient))/(1+(23+(0.00155/Bed slope))*(Rugosity coefficient/sqrt(Hydraulic mean depth))) to calculate the Chezy's constant, The Chezy's Constant by Kutter's Formula is defined as a function of the flow Reynolds Number and the relative roughness of the channel. Chezy's constant is denoted by C symbol.

How to calculate Chezy's Constant by Kutter's Formula using this online calculator? To use this online calculator for Chezy's Constant by Kutter's Formula, enter Bed slope (s), Rugosity coefficient (n) & Hydraulic mean depth (m) and hit the calculate button. Here is how the Chezy's Constant by Kutter's Formula calculation can be explained with given input values -> 80.84687 = ((23+(0.00155/2))+(1/0.015))/(1+(23+(0.00155/2))*(0.015/sqrt(10))).

FAQ

What is Chezy's Constant by Kutter's Formula?

The Chezy's Constant by Kutter's Formula is defined as a function of the flow Reynolds Number and the relative roughness of the channel and is represented as C = ((23+(0.00155/s))+(1/n))/(1+(23+(0.00155/s))*(n/sqrt(m))) or Chezy's constant = ((23+(0.00155/Bed slope))+(1/Rugosity coefficient))/(1+(23+(0.00155/Bed slope))*(Rugosity coefficient/sqrt(Hydraulic mean depth))). Bed slope of the sewer under consideration, Rugosity coefficient depend upon the type of channel surface & The Hydraulic mean depth is defined as the area of the flow section divided by the top water surface width.

How to calculate Chezy's Constant by Kutter's Formula?

The Chezy's Constant by Kutter's Formula is defined as a function of the flow Reynolds Number and the relative roughness of the channel is calculated using Chezy's constant = ((23+(0.00155/Bed slope))+(1/Rugosity coefficient))/(1+(23+(0.00155/Bed slope))*(Rugosity coefficient/sqrt(Hydraulic mean depth))). To calculate Chezy's Constant by Kutter's Formula, you need Bed slope (s), Rugosity coefficient (n) & Hydraulic mean depth (m). With our tool, you need to enter the respective value for Bed slope, Rugosity coefficient & Hydraulic mean depth 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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