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Shear Velocity Formula

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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. Check FAQs

V shear = V mean \cdot \sqrt{\frac{f}{8}}

V_shear - Shear Velocity?V_mean - Mean Velocity?f - Darcy Friction Factor?

Shear Velocity Example

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Here is how the Shear Velocity equation looks like with Values.

Here is how the Shear Velocity equation looks like with Units.

Here is how the Shear Velocity equation looks like.

7.9848 = 10.1 \cdot \sqrt{\frac{5}{8}}

7.9848m/s = 10.1m/s \cdot \sqrt{\frac{5}{8}}

7.9848 = 10.1 \cdot \sqrt{\frac{5}{8}}

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Shear Velocity Solution

Follow our step by step solution on how to calculate Shear Velocity?

FIRST Step Consider the formula

V shear = V mean \cdot \sqrt{\frac{f}{8}}

Next Step Substitute values of Variables

∴

V shear = 10.1m/s \cdot \sqrt{\frac{5}{8}}

Next Step Prepare to Evaluate

∴

V shear = 10.1 \cdot \sqrt{\frac{5}{8}}

Next Step Evaluate

∴

V shear = 7.98475109192516m/s

LAST Step Rounding Answer

∴

V shear = 7.9848m/s

Shear Velocity Formula Elements

Variables

Functions

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

Mean Velocity

The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Darcy Friction Factor

The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Darcy Weisbach Equation category

Go Length of Pipe given Head Loss due to Frictional Resistance

L p = \frac{h \cdot 2 \cdot [g] \cdot D pipe}{f \cdot V mean \cdot 2}

Go Head Loss due to Frictional Resistance

h = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot D pipe}

Go Diameter of Pipe given Head Loss due to Frictional Resistance

D pipe = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot h}

Go Dynamic Viscosity given Friction Factor

μ = \frac{f \cdot V mean \cdot D pipe \cdot ρ Fluid}{64}

How to Evaluate Shear Velocity?

Shear Velocity evaluator uses Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8) to evaluate the Shear Velocity, The Shear Velocity formula is defined as the ratio of shear stress with respect to density taken in root fashion turns out to be velocity by dimension. Shear Velocity is denoted by V_shear symbol.

How to evaluate Shear Velocity using this online evaluator? To use this online evaluator for Shear Velocity, enter Mean Velocity (V_mean) & Darcy Friction Factor (f) and hit the calculate button.

FAQs on Shear Velocity

What is the formula to find Shear Velocity?

The formula of Shear Velocity is expressed as Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8). Here is an example- 7.984751 = 10.1*sqrt(5/8).

How to calculate Shear Velocity?

With Mean Velocity (V_mean) & Darcy Friction Factor (f) we can find Shear Velocity using the formula - Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8). This formula also uses Square Root (sqrt) function(s).

Can the Shear Velocity be negative?

No, the Shear Velocity, measured in Speed cannot be negative.

Which unit is used to measure Shear Velocity?

Shear Velocity is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Shear Velocity can be measured.

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