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Mean Velocity of flow in Smooth Channels Formula

GoMean Velocity of flow in Rough Channels Formula

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Average Velocity of Turbulent flow is defined as the mean of all different velocities. Check FAQs

V avg(Tur) = V shear \cdot (3.25 + 5.75 \cdot \log 10 (R H \cdot \frac{V shear}{ν Tur}))

V_avg(Tur) - Average Velocity of Turbulent flow?V_shear - Shear Velocity?R_H - Hydraulic Radius of Channel?ν_Tur - Kinematic Viscosity of Turbulent Flow?

Mean Velocity of flow in Smooth Channels Example

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Here is how the Mean Velocity of flow in Smooth Channels equation looks like with Values.

Here is how the Mean Velocity of flow in Smooth Channels equation looks like with Units.

Here is how the Mean Velocity of flow in Smooth Channels equation looks like.

375.7662 = 9 \cdot (3.25 + 5.75 \cdot \log 10 (1.6 \cdot \frac{9}{0.029}))

375.7662m/s = 9m/s \cdot (3.25 + 5.75 \cdot \log 10 (1.6m \cdot \frac{9m/s}{0.029St}))

375.7662 = 9 \cdot (3.25 + 5.75 \cdot \log 10 (1.6 \cdot \frac{9}{0.029}))

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Mean Velocity of flow in Smooth Channels Solution

Follow our step by step solution on how to calculate Mean Velocity of flow in Smooth Channels?

FIRST Step Consider the formula

V avg(Tur) = V shear \cdot (3.25 + 5.75 \cdot \log 10 (R H \cdot \frac{V shear}{ν Tur}))

Next Step Substitute values of Variables

∴

V avg(Tur) = 9m/s \cdot (3.25 + 5.75 \cdot \log 10 (1.6m \cdot \frac{9m/s}{0.029St}))

Next Step Convert Units

∴

V avg(Tur) = 9m/s \cdot (3.25 + 5.75 \cdot \log 10 (1.6m \cdot \frac{9m/s}{2.9E-6m²/s}))

Next Step Prepare to Evaluate

∴

V avg(Tur) = 9 \cdot (3.25 + 5.75 \cdot \log 10 (1.6 \cdot \frac{9}{2.9E-6}))

Next Step Evaluate

∴

V avg(Tur) = 375.766162574658m/s

LAST Step Rounding Answer

∴

V avg(Tur) = 375.7662m/s

Mean Velocity of flow in Smooth Channels Formula Elements

Variables

Functions

Average Velocity of Turbulent flow

Average Velocity of Turbulent flow is defined as the mean of all different velocities.

Symbol: V_avg(Tur)

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Turbulent flow

Shear Velocity

The Shear Velocity refers to the measure of the shear stress exerted by the fluid flow on the boundary, such as the bed of a river or the walls of a pipe.

Symbol: V_shear

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Shear Velocity

Hydraulic Radius of Channel

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.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

Kinematic Viscosity of Turbulent Flow

Kinematic Viscosity of Turbulent Flow is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν_Tur

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity of Turbulent Flow

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.

Syntax: log10(Number)

Other Formulas to find Average Velocity of Turbulent flow

Go Mean Velocity of flow in Rough Channels

V avg(Tur) = V shear \cdot (6.25 + 5.75 \cdot \log 10 (\frac{R H}{R a}))

Other formulas in Uniform Turbulent Flow category

Go Hydraulic Radius given Mean Velocity of flow in Smooth Channels

R H = (10^{\frac{(\frac{V avg(Tur)}{V shear}) - 3.25}{5.75}}) \cdot (\frac{ν Tur}{V shear})

Go Kinematic Viscosity given Mean Velocity of flow in Smooth Channels

ν Tur = \frac{R H \cdot V shear}{10^{\frac{(\frac{V avg(Tur)}{V shear}) - 3.25}{5.75}}}

Go Hydraulic Radius given Mean Velocity of flow in Rough Channels

R H = (10^{\frac{(\frac{V avg(Tur)}{V shear}) - 6.25}{5.75}}) \cdot R a

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

R a = \frac{R H}{10^{\frac{(\frac{V avg(Tur)}{V shear}) - 6.25}{5.75}}}

How to Evaluate Mean Velocity of flow in Smooth Channels?

Mean Velocity of flow in Smooth Channels evaluator uses Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow)) to evaluate the Average Velocity of Turbulent flow, The Mean Velocity of flow in Smooth Channels is defined as the velocity in turbulent flow in smooth channel across the boundary. Average Velocity of Turbulent flow is denoted by V_avg(Tur) symbol.

How to evaluate Mean Velocity of flow in Smooth Channels using this online evaluator? To use this online evaluator for Mean Velocity of flow in Smooth Channels, enter Shear Velocity (V_shear), Hydraulic Radius of Channel (R_H) & Kinematic Viscosity of Turbulent Flow (ν_Tur) and hit the calculate button.

FAQs on Mean Velocity of flow in Smooth Channels

What is the formula to find Mean Velocity of flow in Smooth Channels?

The formula of Mean Velocity of flow in Smooth Channels is expressed as Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow)). Here is an example- 375.7662 = 9*(3.25+5.75*log10(1.6*9/2.9E-06)).

How to calculate Mean Velocity of flow in Smooth Channels?

With Shear Velocity (V_shear), Hydraulic Radius of Channel (R_H) & Kinematic Viscosity of Turbulent Flow (ν_Tur) we can find Mean Velocity of flow in Smooth Channels using the formula - Average Velocity of Turbulent flow = Shear Velocity*(3.25+5.75*log10(Hydraulic Radius of Channel*Shear Velocity/Kinematic Viscosity of Turbulent Flow)). This formula also uses Common Logarithm (log10) function(s).

What are the other ways to Calculate Average Velocity of Turbulent flow?

Here are the different ways to Calculate Average Velocity of Turbulent flow-

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

Can the Mean Velocity of flow in Smooth Channels be negative?

No, the Mean Velocity of flow in Smooth Channels, measured in Speed cannot be negative.

Which unit is used to measure Mean Velocity of flow in Smooth Channels?

Mean Velocity of flow in Smooth Channels is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Velocity of flow in Smooth Channels can be measured.

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Mean Velocity of flow in Smooth Channels Formula

​GoMean Velocity of flow in Rough Channels Formula

Mean Velocity of flow in Smooth Channels Example

Mean Velocity of flow in Smooth Channels Solution

Mean Velocity of flow in Smooth Channels Formula Elements

Other Formulas to find Average Velocity of Turbulent flow

Other formulas in Uniform Turbulent Flow category

How to Evaluate Mean Velocity of flow in Smooth Channels?

FAQs on Mean Velocity of flow in Smooth Channels

Variable Name

GoMean Velocity of flow in Rough Channels Formula