Average Height of Roughness Protrusions given 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%
✖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 Height of Surface is the height of the roughness of the surface.ⓘ Average Height of Roughness Protrusions given Chezy Constant for Rough Channels [z₀]

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Average Height of Roughness Protrusions given Chezy Constant for Rough Channels

Formula

`"z"_{"0"} = 12.2*"R"_{"H"}/(10^("C"/18))`

Example

`"0.117019m"=12.2*"1.6m"/(10^("40"/18))`

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Average Height of Roughness Protrusions given Chezy Constant for Rough Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Height of Surface = 12.2*Hydraulic Radius of Channel/(10^(Chezy's Constant/18))
z₀ = 12.2*R_H/(10^(C/18))
This formula uses 3 Variables

Variables Used

Roughness Height of Surface - (Measured in Meter) - Roughness Height of Surface is the height of the roughness of the surface.
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.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
Chezy's Constant: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z₀ = 12.2*R_H/(10^(C/18)) --> 12.2*1.6/(10^(40/18))

Evaluating ... ...

z₀ = 0.117019325662257

STEP 3: Convert Result to Output's Unit

0.117019325662257 Meter --> No Conversion Required

FINAL ANSWER

0.117019325662257 ≈ 0.117019 Meter <-- Roughness Height of Surface

(Calculation completed in 00.004 seconds)

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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

Average Height of Roughness Protrusions given Chezy Constant for Rough Channels Formula

Roughness Height of Surface = 12.2*Hydraulic Radius of Channel/(10^(Chezy's Constant/18))
z₀ = 12.2*R_H/(10^(C/18))

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 Average Height of Roughness Protrusions given Chezy Constant for Rough Channels?

Average Height of Roughness Protrusions given Chezy Constant for Rough Channels calculator uses Roughness Height of Surface = 12.2*Hydraulic Radius of Channel/(10^(Chezy's Constant/18)) to calculate the Roughness Height of Surface, The Average Height of Roughness Protrusions given Chezy Constant for Rough Channels is defined the measure of roughness protrusions in rough channels. Roughness Height of Surface is denoted by z₀ symbol.

How to calculate Average Height of Roughness Protrusions given Chezy Constant for Rough Channels using this online calculator? To use this online calculator for Average Height of Roughness Protrusions given Chezy Constant for Rough Channels, enter Hydraulic Radius of Channel (R_H) & Chezy's Constant (C) and hit the calculate button. Here is how the Average Height of Roughness Protrusions given Chezy Constant for Rough Channels calculation can be explained with given input values -> 0.117019 = 12.2*1.6/(10^(40/18)).

FAQ

What is Average Height of Roughness Protrusions given Chezy Constant for Rough Channels?

The Average Height of Roughness Protrusions given Chezy Constant for Rough Channels is defined the measure of roughness protrusions in rough channels and is represented as z₀ = 12.2*R_H/(10^(C/18)) or Roughness Height of Surface = 12.2*Hydraulic Radius of Channel/(10^(Chezy's Constant/18)). 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 & The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

How to calculate Average Height of Roughness Protrusions given Chezy Constant for Rough Channels?

The Average Height of Roughness Protrusions given Chezy Constant for Rough Channels is defined the measure of roughness protrusions in rough channels is calculated using Roughness Height of Surface = 12.2*Hydraulic Radius of Channel/(10^(Chezy's Constant/18)). To calculate Average Height of Roughness Protrusions given Chezy Constant for Rough Channels, you need Hydraulic Radius of Channel (R_H) & Chezy's Constant (C). With our tool, you need to enter the respective value for Hydraulic Radius of Channel & Chezy's Constant 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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