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Boundary Shear Stress Formula

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

ζ 0 = γ l \cdot R H \cdot S

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

Boundary Shear Stress Example

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

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

Here is how the Boundary Shear Stress equation looks like.

6.2784 = 9.81 \cdot 1.6 \cdot 0.0004

6.2784Pa = 9.81kN/m³ \cdot 1.6m \cdot 0.0004

6.2784 = 9.81 \cdot 1.6 \cdot 0.0004

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Boundary Shear Stress Solution

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

FIRST Step Consider the formula

ζ 0 = γ l \cdot R H \cdot S

Next Step Substitute values of Variables

∴

ζ 0 = 9.81kN/m³ \cdot 1.6m \cdot 0.0004

Next Step Convert Units

∴

ζ 0 = 9810N/m³ \cdot 1.6m \cdot 0.0004

Next Step Prepare to Evaluate

∴

ζ 0 = 9810 \cdot 1.6 \cdot 0.0004

LAST Step Evaluate

∴

ζ 0 = 6.2784Pa

Boundary Shear Stress Formula Elements

Variables

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

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

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 in Average Velocity in Uniform Flow in Channels category

Go Specific Weight of Liquid given Boundary Shear Stress

γ l = \frac{ζ 0}{R H \cdot S}

Go Hydraulic Radius given Boundary Shear Stress

R H = \frac{ζ 0}{γ l \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 Boundary Shear Stress?

Boundary Shear Stress evaluator uses Shear Stress of Wall = Liquid Specific Weight*Hydraulic Radius of Channel*Bed Slope to evaluate the Shear Stress of Wall, The Boundary Shear Stress is defined as resistance developed on the boundary or wall of the channel section. Shear Stress of Wall is denoted by ζ₀ symbol.

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

FAQs on Boundary Shear Stress

What is the formula to find Boundary Shear Stress?

The formula of Boundary Shear Stress is expressed as Shear Stress of Wall = Liquid Specific Weight*Hydraulic Radius of Channel*Bed Slope. Here is an example- 6.2784 = 9810*1.6*0.0004.

How to calculate Boundary Shear Stress?

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

Can the Boundary Shear Stress be negative?

No, the Boundary Shear Stress, measured in Pressure cannot be negative.

Which unit is used to measure Boundary Shear Stress?

Boundary Shear Stress is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Boundary Shear Stress can be measured.

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Boundary Shear Stress Formula

Boundary Shear Stress Example

Boundary Shear Stress Solution

Boundary Shear Stress Formula Elements

Other formulas in Average Velocity in Uniform Flow in Channels category

How to Evaluate Boundary Shear Stress?

FAQs on Boundary Shear Stress

Variable Name