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Hydraulic Radius given Mean Velocity of flow in Rough Channels Formula

GoHydraulic Radius given Mean Velocity of flow in Smooth 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}) - 6.25}{5.75}}) \cdot R a

R_H - Hydraulic Radius of Channel?V_avg(Tur) - Average Velocity of Turbulent flow?V_shear - Shear Velocity?R_a - Roughness Value?

Hydraulic Radius given Mean Velocity of flow in Rough Channels Example

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

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

1.8032 = (10^{\frac{(\frac{380}{9}) - 6.25}{5.75}}) \cdot 0.001

1.8032m = (10^{\frac{(\frac{380m/s}{9m/s}) - 6.25}{5.75}}) \cdot 0.001mm

1.8032 = (10^{\frac{(\frac{380}{9}) - 6.25}{5.75}}) \cdot 0.001

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Hydraulic Radius given Mean Velocity of flow in Rough Channels Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R H = (10^{\frac{(\frac{380m/s}{9m/s}) - 6.25}{5.75}}) \cdot 0.001mm

Next Step Convert Units

∴

R H = (10^{\frac{(\frac{380m/s}{9m/s}) - 6.25}{5.75}}) \cdot 1E-6m

Next Step Prepare to Evaluate

∴

R H = (10^{\frac{(\frac{380}{9}) - 6.25}{5.75}}) \cdot 1E-6

Next Step Evaluate

∴

R H = 1.80317819637652m

LAST Step Rounding Answer

∴

R H = 1.8032m

Hydraulic Radius given Mean Velocity of flow in Rough 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

Roughness Value

Roughness Value is the arithmetic average of the absolute values of the roughness profile ordinates.

Symbol: R_a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Roughness Value

Other Formulas to find Hydraulic Radius of Channel

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 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 Rough Channels?

Hydraulic Radius given Mean Velocity of flow in Rough Channels evaluator uses Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value to evaluate 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 evaluate Hydraulic Radius given Mean Velocity of flow in Rough Channels using this online evaluator? To use this online evaluator 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.

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

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

The formula of Hydraulic Radius given Mean Velocity of flow in Rough Channels is expressed as Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value. Here is an example- 1.803178 = (10^(((380/9)-6.25)/5.75))*1E-06.

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

With Average Velocity of Turbulent flow (V_avg(Tur)), Shear Velocity (V_shear) & Roughness Value (R_a) we can find Hydraulic Radius given Mean Velocity of flow in Rough Channels using the formula - Hydraulic Radius of Channel = (10^(((Average Velocity of Turbulent flow/Shear Velocity)-6.25)/5.75))*Roughness Value.

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)-3.25)/5.75))*(Kinematic Viscosity of Turbulent Flow/Shear Velocity)
Hydraulic Radius of Channel=((10^(Chezy's Constant/18))*Roughness Value)/12.2

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

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

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

Hydraulic Radius given Mean Velocity of flow in Rough 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 Rough Channels can be measured.

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Hydraulic Radius given Mean Velocity of flow in Rough Channels Formula

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

​GoHydraulic Radius given Chezy Constant for Rough Channels Formula

Hydraulic Radius given Mean Velocity of flow in Rough Channels Example

Hydraulic Radius given Mean Velocity of flow in Rough Channels Solution

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

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

Variable Name

GoHydraulic Radius given Mean Velocity of flow in Smooth Channels Formula

GoHydraulic Radius given Chezy Constant for Rough Channels Formula