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Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Formula

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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. Check FAQs

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

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

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Example

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

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

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

0.024 = \frac{1.6 \cdot 9}{10^{\frac{(\frac{380}{9}) - 3.25}{5.75}}}

0.024St = \frac{1.6m \cdot 9m/s}{10^{\frac{(\frac{380m/s}{9m/s}) - 3.25}{5.75}}}

0.024 = \frac{1.6 \cdot 9}{10^{\frac{(\frac{380}{9}) - 3.25}{5.75}}}

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Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ν Tur = \frac{1.6m \cdot 9m/s}{10^{\frac{(\frac{380m/s}{9m/s}) - 3.25}{5.75}}}

Next Step Prepare to Evaluate

∴

ν Tur = \frac{1.6 \cdot 9}{10^{\frac{(\frac{380}{9}) - 3.25}{5.75}}}

Next Step Evaluate

∴

ν Tur = 2.40206477356808E-06m²/s

Next Step Convert to Output's Unit

∴

ν Tur = 0.0240206477356808St

LAST Step Rounding Answer

∴

ν Tur = 0.024St

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Formula Elements

Variables

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

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

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

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

Other formulas in Uniform Turbulent Flow category

Go Mean Velocity of flow in Smooth Channels

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

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}))

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 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

How to Evaluate Kinematic Viscosity given Mean Velocity of flow in Smooth Channels?

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels evaluator uses Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75)) to evaluate the Kinematic Viscosity of Turbulent Flow, The Kinematic Viscosity given Mean Velocity of flow in Smooth Channels formula is defined as dynamic viscosity per unit density of fluid. Kinematic Viscosity of Turbulent Flow is denoted by ν_Tur symbol.

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

FAQs on Kinematic Viscosity given Mean Velocity of flow in Smooth Channels

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

The formula of Kinematic Viscosity given Mean Velocity of flow in Smooth Channels is expressed as Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75)). Here is an example- 240.2065 = (1.6*9)/(10^(((380/9)-3.25)/5.75)).

How to calculate Kinematic Viscosity given Mean Velocity of flow in Smooth Channels?

With Hydraulic Radius of Channel (R_H), Shear Velocity (V_shear) & Average Velocity of Turbulent flow (V_avg(Tur)) we can find Kinematic Viscosity given Mean Velocity of flow in Smooth Channels using the formula - Kinematic Viscosity of Turbulent Flow = (Hydraulic Radius of Channel*Shear Velocity)/(10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75)).

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

No, the Kinematic Viscosity given Mean Velocity of flow in Smooth Channels, measured in Kinematic Viscosity cannot be negative.

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

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels is usually measured using the Stokes[St] for Kinematic Viscosity. Square Meter per Second[St], Square Meter per Hour[St], Square Centimeter per Second[St] are the few other units in which Kinematic Viscosity given Mean Velocity of flow in Smooth Channels can be measured.

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Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Formula

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Example

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Solution

Kinematic Viscosity given Mean Velocity of flow in Smooth Channels Formula Elements

Other formulas in Uniform Turbulent Flow category

How to Evaluate Kinematic Viscosity given Mean Velocity of flow in Smooth Channels?

FAQs on Kinematic Viscosity given Mean Velocity of flow in Smooth Channels

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