Shear Velocity Calculator

✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.ⓘ Darcy Friction Factor [f]			+10% -10%

✖Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.ⓘ Shear Velocity [V_shear]

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Formula

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Shear Velocity

Formula

`"V"_{"shear"} = "V"_{"mean"}*sqrt("f"/8)`

Example

`"7.984751m/s"="10.1m/s"*sqrt("5"/8)`

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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) - Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.

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 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Darcy – Weisbach Equation » Shear Velocity

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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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< 14 Darcy – Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance

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

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

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

Diameter of Pipe given Friction Factor

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

Dynamic Viscosity given Friction Factor

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

Density of Fluid given Friction Factor

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

Density of Liquid given Shear Stress and Darcy Friction Factor

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity)

Pressure Gradient given Total Required Power

Go Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity)

Area of Pipe given Total Required Power

Go Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)

Shear Stress given Friction Factor and Density

Go Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8

Total Required Power

Go Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe

Density of Liquid using Mean Velocity given Shear Stress with Friction Factor

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))

Shear Velocity

Go Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8)

Reynolds Number given Friction Factor

Go Reynolds Number = 64/Darcy Friction Factor

Shear Velocity Formula

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 is defined as 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 is defined as 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). Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.

How to calculate Shear Velocity?

The Shear Velocity is defined as 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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