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Hydraulic Radius given Mean Velocity of flow in Smooth Channels Formula

GoHydraulic Radius given Mean Velocity of flow in Rough Channels Formula

GoHydraulic Radius given Chezy Constant for Rough Channels Formula

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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. Check FAQs

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

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

Hydraulic Radius given Mean Velocity of flow in Smooth Channels Example

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

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

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

1.9317 = (10^{\frac{(\frac{380}{9}) - 3.25}{5.75}}) \cdot (\frac{0.029}{9})

1.9317m = (10^{\frac{(\frac{380m/s}{9m/s}) - 3.25}{5.75}}) \cdot (\frac{0.029St}{9m/s})

1.9317 = (10^{\frac{(\frac{380}{9}) - 3.25}{5.75}}) \cdot (\frac{0.029}{9})

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Hydraulic Radius given Mean Velocity of flow in Smooth Channels Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R H = (10^{\frac{(\frac{380m/s}{9m/s}) - 3.25}{5.75}}) \cdot (\frac{0.029St}{9m/s})

Next Step Convert Units

∴

R H = (10^{\frac{(\frac{380m/s}{9m/s}) - 3.25}{5.75}}) \cdot (\frac{2.9E-6m²/s}{9m/s})

Next Step Prepare to Evaluate

∴

R H = (10^{\frac{(\frac{380}{9}) - 3.25}{5.75}}) \cdot (\frac{2.9E-6}{9})

Next Step Evaluate

∴

R H = 1.93167147324992m

LAST Step Rounding Answer

∴

R H = 1.9317m

Hydraulic Radius given Mean Velocity of flow in Smooth Channels Formula Elements

Variables

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

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

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

Other Formulas to find Hydraulic Radius of Channel

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 Hydraulic Radius given Chezy Constant for Rough Channels

R H = \frac{(10^{\frac{C}{18}}) \cdot R a}{12.2}

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 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 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 Hydraulic Radius given Mean Velocity of flow in Smooth Channels?

Hydraulic Radius given Mean Velocity of flow in Smooth Channels evaluator uses Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity) to evaluate the Hydraulic Radius of Channel, The Hydraulic Radius given Mean Velocity of flow in Smooth Channels formula is defined as the area to perimeter ratio. Hydraulic Radius of Channel is denoted by R_H symbol.

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

FAQs on Hydraulic Radius given Mean Velocity of flow in Smooth Channels

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

The formula of Hydraulic Radius given Mean Velocity of flow in Smooth Channels is expressed as Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity). Here is an example- 1.931671 = (10^(((380/9)-3.25)/5.75))*(2.9E-06/9).

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

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

What are the other ways to Calculate Hydraulic Radius of Channel?

Here are the different ways to Calculate Hydraulic Radius of Channel-

Hydraulic Radius of Channel=(10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value
Hydraulic Radius of Channel=((10^(Chezy's Constant/18))*Roughness Value)/12.2

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

No, the Hydraulic Radius given Mean Velocity of flow in Smooth Channels, measured in Length cannot be negative.

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

Hydraulic Radius given Mean Velocity of flow in Smooth Channels is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Radius given Mean Velocity of flow in Smooth Channels can be measured.

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Hydraulic Radius given Mean Velocity of flow in Smooth Channels Formula

​GoHydraulic Radius given Mean Velocity of flow in Rough Channels Formula

​GoHydraulic Radius given Chezy Constant for Rough Channels Formula

Hydraulic Radius given Mean Velocity of flow in Smooth Channels Example

Hydraulic Radius given Mean Velocity of flow in Smooth Channels Solution

Hydraulic Radius given Mean Velocity of flow in Smooth Channels Formula Elements

Other Formulas to find Hydraulic Radius of Channel

Other formulas in Uniform Turbulent Flow category

How to Evaluate Hydraulic Radius given Mean Velocity of flow in Smooth Channels?

FAQs on Hydraulic Radius given Mean Velocity of flow in Smooth Channels

Variable Name

GoHydraulic Radius given Mean Velocity of flow in Rough Channels Formula

GoHydraulic Radius given Chezy Constant for Rough Channels Formula