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Hydraulic Radius given Boundary Shear Stress Formula

GoHydraulic Radius given Average Velocity in Channel 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 = \frac{ζ 0}{γ l \cdot S}

R_H - Hydraulic Radius of Channel?ζ₀ - Shear Stress of Wall?γ_l - Liquid Specific Weight?S - Bed Slope?

Hydraulic Radius given Boundary Shear Stress Example

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Here is how the Hydraulic Radius given Boundary Shear Stress equation looks like with Values.

Here is how the Hydraulic Radius given Boundary Shear Stress equation looks like with Units.

Here is how the Hydraulic Radius given Boundary Shear Stress equation looks like.

1.6055 = \frac{6.3}{9.81 \cdot 0.0004}

1.6055m = \frac{6.3Pa}{9.81kN/m³ \cdot 0.0004}

1.6055 = \frac{6.3}{9.81 \cdot 0.0004}

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Hydraulic Radius given Boundary Shear Stress Solution

Follow our step by step solution on how to calculate Hydraulic Radius given Boundary Shear Stress?

FIRST Step Consider the formula

R H = \frac{ζ 0}{γ l \cdot S}

Next Step Substitute values of Variables

∴

R H = \frac{6.3Pa}{9.81kN/m³ \cdot 0.0004}

Next Step Convert Units

∴

R H = \frac{6.3Pa}{9810N/m³ \cdot 0.0004}

Next Step Prepare to Evaluate

∴

R H = \frac{6.3}{9810 \cdot 0.0004}

Next Step Evaluate

∴

R H = 1.60550458715596m

LAST Step Rounding Answer

∴

R H = 1.6055m

Hydraulic Radius given Boundary Shear Stress 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

Shear Stress of Wall

Shear Stress of Wall is defined as the shear stress in the layer of fluid next to the wall of a pipe.

Symbol: ζ₀

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress of Wall

Liquid Specific Weight

Liquid Specific Weight is also known as the unit weight, is the weight per unit volume of the liquid. For Example - Specific weight of water on Earth at 4°C is 9.807 kN/m3 or 62.43 lbf/ft3.

Symbol: γ_l

Measurement: Specific WeightUnit: kN/m³

Note: Value can be positive or negative.

Formulas to find Liquid Specific Weight

Bed Slope

Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Other Formulas to find Hydraulic Radius of Channel

Go Hydraulic Radius given Average Velocity in Channel

R H = {(\frac{V avg}{\sqrt{8 \cdot [g] \cdot \frac{S}{f}}})}^{2}

Other formulas in Average Velocity in Uniform Flow in Channels category

Go Boundary Shear Stress

ζ 0 = γ l \cdot R H \cdot S

Go Specific Weight of Liquid given Boundary Shear Stress

γ l = \frac{ζ 0}{R H \cdot S}

Go Slope of Channel Bottom given Boundary Shear Stress

S = \frac{ζ 0}{γ l \cdot R H}

Go Average Velocity in Channel

V avg = \sqrt{8 \cdot [g] \cdot R H \cdot \frac{S}{f}}

How to Evaluate Hydraulic Radius given Boundary Shear Stress?

Hydraulic Radius given Boundary Shear Stress evaluator uses Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope) to evaluate the Hydraulic Radius of Channel, The Hydraulic Radius given Boundary Shear Stress is defined as the ratio of wetted area to perimeter of section. Hydraulic Radius of Channel is denoted by R_H symbol.

How to evaluate Hydraulic Radius given Boundary Shear Stress using this online evaluator? To use this online evaluator for Hydraulic Radius given Boundary Shear Stress, enter Shear Stress of Wall (ζ₀), Liquid Specific Weight (γ_l) & Bed Slope (S) and hit the calculate button.

FAQs on Hydraulic Radius given Boundary Shear Stress

What is the formula to find Hydraulic Radius given Boundary Shear Stress?

The formula of Hydraulic Radius given Boundary Shear Stress is expressed as Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope). Here is an example- 1.605505 = 6.3/(9810*0.0004).

How to calculate Hydraulic Radius given Boundary Shear Stress?

With Shear Stress of Wall (ζ₀), Liquid Specific Weight (γ_l) & Bed Slope (S) we can find Hydraulic Radius given Boundary Shear Stress using the formula - Hydraulic Radius of Channel = Shear Stress of Wall/(Liquid Specific Weight*Bed Slope).

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=(Average Velocity of Flow/(sqrt(8*[g]*Bed Slope/Darcy Friction Factor)))^2

Can the Hydraulic Radius given Boundary Shear Stress be negative?

No, the Hydraulic Radius given Boundary Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Radius given Boundary Shear Stress?

Hydraulic Radius given Boundary Shear Stress 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 Boundary Shear Stress can be measured.

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Hydraulic Radius given Boundary Shear Stress Formula

​GoHydraulic Radius given Average Velocity in Channel Formula

Hydraulic Radius given Boundary Shear Stress Example

Hydraulic Radius given Boundary Shear Stress Solution

Hydraulic Radius given Boundary Shear Stress Formula Elements

Other Formulas to find Hydraulic Radius of Channel

Other formulas in Average Velocity in Uniform Flow in Channels category

How to Evaluate Hydraulic Radius given Boundary Shear Stress?

FAQs on Hydraulic Radius given Boundary Shear Stress

Variable Name

GoHydraulic Radius given Average Velocity in Channel Formula