Chezy Constant for Rough Channels Calculator

✖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%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R_a]			+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 for Rough Channels [C]

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Formula

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Chezy Constant for Rough Channels

Formula

`"C" = 18*log10(12.2*"R"_{"H"}/"R"_{"a"})`

Example

`"131.2286"=18*log10(12.2*"1.6m"/"0.001mm")`

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Download Uniform Flow in Channels Formulas PDF

Chezy Constant for Rough Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chezy's Constant = 18*log10(12.2*Hydraulic Radius of Channel/Roughness Value)
C = 18*log10(12.2*R_H/R_a)
This formula uses 1 Functions, 3 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(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.
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.
Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Roughness Value: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = 18*log10(12.2*R_H/R_a) --> 18*log10(12.2*1.6/1E-06)

Evaluating ... ...

C = 131.228636639952

STEP 3: Convert Result to Output's Unit

131.228636639952 --> No Conversion Required

FINAL ANSWER

131.228636639952 ≈ 131.2286 <-- Chezy's Constant

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Uniform Flow in Channels » Uniform Turbulent Flow » Chezy Constant for Rough Channels

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< 9 Uniform Turbulent Flow Calculators

Mean Velocity of flow in Smooth Channels

Go Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow))

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels

Go Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))

Hydraulic Radius given Mean Velocity of flow in Smooth Channels

Go Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity)

Mean Velocity of flow in Rough Channels

Go Average Velocity of Turbulent flow = Shear Velocity*(6.25+5.75*log10(Hydraulic Radius of Channel/Roughness Value))

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels

Go Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))

Hydraulic Radius given Mean Velocity of flow in Rough Channels

Go Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value

Chezy Constant for Rough Channels

Go Chezy's Constant = 18*log10(12.2*Hydraulic Radius of Channel/Roughness Value)

Average Height of Roughness Protrusions given Chezy Constant for Rough Channels

Go Roughness Height of Surface = 12.2*Hydraulic Radius of Channel/(10^(Chezy's Constant/18))

Hydraulic Radius given Chezy Constant for Rough Channels

Go Hydraulic Radius of Channel = ((10^(Chezy's Constant/18))*Roughness Value)/12.2

Chezy Constant for Rough Channels Formula

Chezy's Constant = 18*log10(12.2*Hydraulic Radius of Channel/Roughness Value)
C = 18*log10(12.2*R_H/R_a)

What is Chezy Constant?

This equation is called as Chezy's Formula. Where, A is the area of flow of water, m is the hydraulic mean depth or hydraulic radius, 'i' is the slope of the bed and 'C' is the Chezy's Constant.

How to Calculate Chezy Constant for Rough Channels?

Chezy Constant for Rough Channels calculator uses Chezy's Constant = 18*log10(12.2*Hydraulic Radius of Channel/Roughness Value) to calculate the Chezy's Constant, The Chezy Constant for Rough Channels formula is defined as the constant depending on the flow properties and materials. Chezy's Constant is denoted by C symbol.

How to calculate Chezy Constant for Rough Channels using this online calculator? To use this online calculator for Chezy Constant for Rough Channels, enter Hydraulic Radius of Channel (R_H) & Roughness Value (R_a) and hit the calculate button. Here is how the Chezy Constant for Rough Channels calculation can be explained with given input values -> 131.2286 = 18*log10(12.2*1.6/1E-06).

FAQ

What is Chezy Constant for Rough Channels?

The Chezy Constant for Rough Channels formula is defined as the constant depending on the flow properties and materials and is represented as C = 18*log10(12.2*R_H/R_a) or Chezy's Constant = 18*log10(12.2*Hydraulic Radius of Channel/Roughness Value). 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 & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Chezy Constant for Rough Channels?

The Chezy Constant for Rough Channels formula is defined as the constant depending on the flow properties and materials is calculated using Chezy's Constant = 18*log10(12.2*Hydraulic Radius of Channel/Roughness Value). To calculate Chezy Constant for Rough Channels, you need Hydraulic Radius of Channel (R_H) & Roughness Value (R_a). With our tool, you need to enter the respective value for Hydraulic Radius of Channel & Roughness Value 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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