Hydraulic Radius given Chezy Constant for Rough Channels 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%
✖Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.ⓘ Roughness Value [R_a]			+10% -10%

✖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 given Chezy Constant for Rough Channels [R_H]

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Hydraulic Radius given Chezy Constant for Rough Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = ((10^(Chezy's Constant/18))*Roughness Value)/12.2
R_H = ((10^(C/18))*R_a)/12.2
This formula uses 3 Variables

Variables Used

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.
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.
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

Chezy's Constant: 40 --> No Conversion Required
Roughness Value: 0.001 Millimeter --> 1E-06 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = ((10^(C/18))*R_a)/12.2 --> ((10^(40/18))*1E-06)/12.2

Evaluating ... ...

R_H = 1.36729552229513E-05

STEP 3: Convert Result to Output's Unit

1.36729552229513E-05 Meter --> No Conversion Required

FINAL ANSWER

1.36729552229513E-05 ≈ 1.4E-5 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.004 seconds)

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< Uniform Turbulent Flow Calculators

Mean Velocity of flow in Smooth Channels

LaTeX 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

LaTeX 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

LaTeX 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

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

Hydraulic Radius given Chezy Constant for Rough Channels Formula

LaTeX Go

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

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 Hydraulic Radius given Chezy Constant for Rough Channels?

Hydraulic Radius given Chezy Constant for Rough Channels calculator uses Hydraulic Radius of Channel = ((10^(Chezy's Constant/18))*Roughness Value)/12.2 to calculate the Hydraulic Radius of Channel, The Hydraulic Radius given Chezy Constant for Rough Channels is defined as Chezy Constant, characterizes flow efficiency in rough channels by relating cross-sectional area to wetted perimeter. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius given Chezy Constant for Rough Channels using this online calculator? To use this online calculator for Hydraulic Radius given Chezy Constant for Rough Channels, enter Chezy's Constant (C) & Roughness Value (R_a) and hit the calculate button. Here is how the Hydraulic Radius given Chezy Constant for Rough Channels calculation can be explained with given input values -> 1.4E-5 = ((10^(40/18))*1E-06)/12.2.

FAQ

What is Hydraulic Radius given Chezy Constant for Rough Channels?

The Hydraulic Radius given Chezy Constant for Rough Channels is defined as Chezy Constant, characterizes flow efficiency in rough channels by relating cross-sectional area to wetted perimeter and is represented as R_H = ((10^(C/18))*R_a)/12.2 or Hydraulic Radius of Channel = ((10^(Chezy's Constant/18))*Roughness Value)/12.2. The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Hydraulic Radius given Chezy Constant for Rough Channels?

The Hydraulic Radius given Chezy Constant for Rough Channels is defined as Chezy Constant, characterizes flow efficiency in rough channels by relating cross-sectional area to wetted perimeter is calculated using Hydraulic Radius of Channel = ((10^(Chezy's Constant/18))*Roughness Value)/12.2. To calculate Hydraulic Radius given Chezy Constant for Rough Channels, you need Chezy's Constant (C) & Roughness Value (R_a). With our tool, you need to enter the respective value for Chezy's Constant & Roughness Value 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 Hydraulic Radius of Channel?

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

Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity)
Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value

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