Average Height of Roughness Protrusions given Mean Velocity of flow in 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%
✖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.ⓘ Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels [R_a]

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

Formula

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

Example

`"0.000887mm"="1.6m"/(10^((("380m/s"/"9m/s")-6.25)/5.75))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))
R_a = R_H/(10^(((V_avg(Tur)/V_shear)-6.25)/5.75))
This formula uses 4 Variables

Variables Used

Roughness Value - (Measured in Meter) - Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.
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.

STEP 1: Convert Input(s) to Base Unit

Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_a = R_H/(10^(((V_avg(Tur)/V_shear)-6.25)/5.75)) --> 1.6/(10^(((380/9)-6.25)/5.75))

Evaluating ... ...

R_a = 8.87322175487257E-07

STEP 3: Convert Result to Output's Unit

8.87322175487257E-07 Meter -->0.000887322175487257 Millimeter (Check conversion here)

FINAL ANSWER

0.000887322175487257 ≈ 0.000887 Millimeter <-- Roughness Value

(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 Mean Velocity of flow in Rough Channels Formula

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

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

Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels calculator uses Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75)) to calculate the Roughness Value, The Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels is defined as roughness value of channel. Roughness Value is denoted by R_a symbol.

How to calculate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels using this online calculator? To use this online calculator for Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels, enter Hydraulic Radius of Channel (R_H), Average Velocity of Turbulent flow (V_avg(Tur)) & Shear Velocity (V_shear) and hit the calculate button. Here is how the Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels calculation can be explained with given input values -> 0.887322 = 1.6/(10^(((380/9)-6.25)/5.75)).

FAQ

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

The Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels is defined as roughness value of channel and is represented as R_a = R_H/(10^(((V_avg(Tur)/V_shear)-6.25)/5.75)) or Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75)). 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 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.

How to calculate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels?

The Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels is defined as roughness value of channel is calculated using Roughness Value = Hydraulic Radius of Channel/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75)). To calculate Average Height of Roughness Protrusions given Mean Velocity of flow in Rough Channels, you need Hydraulic Radius of Channel (R_H), Average Velocity of Turbulent flow (V_avg(Tur)) & Shear Velocity (V_shear). With our tool, you need to enter the respective value for Hydraulic Radius of Channel, Average Velocity of Turbulent flow & Shear Velocity 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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