Shear Velocity Calculator

✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity [V_mean]			+10% -10%
✖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.ⓘ Darcy Friction Factor [f]			+10% -10%

✖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.ⓘ Shear Velocity [V_shear]

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Shear Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8)
V_shear = V_mean*sqrt(f/8)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Shear Velocity - (Measured in Meter per Second) - 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.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Darcy Friction Factor: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_shear = V_mean*sqrt(f/8) --> 10.1*sqrt(5/8)

Evaluating ... ...

V_shear = 7.98475109192516

STEP 3: Convert Result to Output's Unit

7.98475109192516 Meter per Second --> No Conversion Required

FINAL ANSWER

7.98475109192516 ≈ 7.984751 Meter per Second <-- Shear Velocity

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Darcy Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance

LaTeX Go Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)

Length of Pipe given Head Loss due to Frictional Resistance

LaTeX Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)

Head Loss due to Frictional Resistance

LaTeX Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)

Dynamic Viscosity given Friction Factor

LaTeX Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Shear Velocity Formula

LaTeX Go

Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8)
V_shear = V_mean*sqrt(f/8)

What is Shear Velocity ?

Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity. It is useful as a method in fluid mechanics to compare true velocities, such as the velocity of a flow in a stream, to a velocity that relates shear between layers of flow.

How to Calculate Shear Velocity?

Shear Velocity calculator uses Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8) to calculate 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 calculate Shear Velocity using this online calculator? To use this online calculator for Shear Velocity, enter Mean Velocity (V_mean) & Darcy Friction Factor (f) and hit the calculate button. Here is how the Shear Velocity calculation can be explained with given input values -> 7.984751 = 10.1*sqrt(5/8).

FAQ

What is 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 and is represented as V_shear = V_mean*sqrt(f/8) or Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8). The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel & 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.

How to calculate 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 is calculated using Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8). To calculate Shear Velocity, you need Mean Velocity (V_mean) & Darcy Friction Factor (f). With our tool, you need to enter the respective value for Mean Velocity & Darcy Friction Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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