Hydraulic Radius given Mean Velocity of flow in Rough Channels Calculator

✖Average Velocity of Turbulent flow is defined as the mean of all different velocities.ⓘ Average Velocity of Turbulent flow [V_avg(Tur)]			+10% -10%
✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [V_shear]			+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 Mean Velocity of flow in Rough Channels [R_H]

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Formula

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Hydraulic Radius given Mean Velocity of flow in Rough Channels

Formula

`"R"_{"H"} = (10^((("V"_{"avg(Tur)"}/"V"_{"shear"})-6.25)/5.75))*"R"_{"a"} `

Example

`"1.803178m"=(10^((("380m/s"/"9m/s")-6.25)/5.75))*"0.001mm" `

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Hydraulic Radius given Mean Velocity of flow in Rough Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value
R_H = (10^(((V_avg(Tur)/V_shear)-6.25)/5.75))*R_a
This formula uses 4 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.
Average Velocity of Turbulent flow - (Measured in Meter per Second) - Average Velocity of Turbulent flow is defined as the mean of all different velocities.
Shear Velocity - (Measured in Meter per Second) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.
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

Average Velocity of Turbulent flow: 380 Meter per Second --> 380 Meter per Second No Conversion Required
Shear Velocity: 9 Meter per Second --> 9 Meter per Second 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^(((V_avg(Tur)/V_shear)-6.25)/5.75))*R_a --> (10^(((380/9)-6.25)/5.75))*1E-06

Evaluating ... ...

R_H = 1.80317819637652

STEP 3: Convert Result to Output's Unit

1.80317819637652 Meter --> No Conversion Required

FINAL ANSWER

1.80317819637652 ≈ 1.803178 Meter <-- Hydraulic Radius of Channel

(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))

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)

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))

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

Hydraulic Radius given Mean Velocity of flow in Rough Channels Formula

Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value
R_H = (10^(((V_avg(Tur)/V_shear)-6.25)/5.75))*R_a

What is Turbulent Flow?

In fluid dynamics, turbulence or turbulent flow is fluid motion characterized by chaotic changes in pressure and flow velocity. It is in contrast to a laminar flow, which occurs when a fluid flows in parallel layers, with no disruption between those layers.

How to Calculate Hydraulic Radius given Mean Velocity of flow in Rough Channels?

Hydraulic Radius given Mean Velocity of flow in Rough Channels calculator uses Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value to calculate the Hydraulic Radius of Channel, The Hydraulic Radius given Mean Velocity of flow in Rough Channels formula is defined as Cross-sectional area-to-wetted perimeter ratio used to quantify flow efficiency. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Hydraulic Radius given Mean Velocity of flow in Rough Channels using this online calculator? To use this online calculator for Hydraulic Radius given Mean Velocity of flow in Rough Channels, enter Average Velocity of Turbulent flow (V_avg(Tur)), Shear Velocity (V_shear) & Roughness Value (R_a) and hit the calculate button. Here is how the Hydraulic Radius given Mean Velocity of flow in Rough Channels calculation can be explained with given input values -> 1.803178 = (10^(((380/9)-6.25)/5.75))*1E-06 .

FAQ

What is Hydraulic Radius given Mean Velocity of flow in Rough Channels?

The Hydraulic Radius given Mean Velocity of flow in Rough Channels formula is defined as Cross-sectional area-to-wetted perimeter ratio used to quantify flow efficiency and is represented as R_H = (10^(((V_avg(Tur)/V_shear)-6.25)/5.75))*R_a or Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value. Average Velocity of Turbulent flow is defined as the mean of all different velocities, Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity & Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

How to calculate Hydraulic Radius given Mean Velocity of flow in Rough Channels?

The Hydraulic Radius given Mean Velocity of flow in Rough Channels formula is defined as Cross-sectional area-to-wetted perimeter ratio used to quantify flow efficiency is calculated using Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value. To calculate Hydraulic Radius given Mean Velocity of flow in Rough Channels, you need Average Velocity of Turbulent flow (V_avg(Tur)), Shear Velocity (V_shear) & Roughness Value (R_a). With our tool, you need to enter the respective value for Average Velocity of Turbulent flow, Shear Velocity & 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 Average Velocity of Turbulent flow, Shear Velocity & 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^(Chezy's Constant/18))*Roughness Value)/12.2

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