Friction Factor given Shear Velocity Calculator

✖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]			+10% -10%
✖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.ⓘ Friction Factor given Shear Velocity [f]

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Formula

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Friction Factor given Shear Velocity

Formula

`"f" = 8*("V"_{"shear"}/"V"_{"mean"})^2`

Example

`"6.352318"=8*("9m/s"/"10.1m/s")^2`

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Friction Factor given Shear Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2
f = 8*(V_shear/V_mean)^2
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Velocity: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = 8*(V_shear/V_mean)^2 --> 8*(9/10.1)^2

Evaluating ... ...

f = 6.35231840015685

STEP 3: Convert Result to Output's Unit

6.35231840015685 --> No Conversion Required

FINAL ANSWER

6.35231840015685 ≈ 6.352318 <-- Darcy Friction Factor

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 5 Friction Factor Calculators

Friction Factor when Head Loss is due to Frictional Resistance

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

Friction Factor

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

Friction Factor given Shear Stress and Density

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

Friction Factor given Shear Velocity

Go Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2

Friction Factor given Reynolds Number

Go Darcy Friction Factor = 64/Reynolds Number

Friction Factor given Shear Velocity Formula

Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2
f = 8*(V_shear/V_mean)^2

What is Friction Factor ?

In fluid dynamics, the Darcy friction factor formulae are equations that allow the calculation of the Darcy friction factor, a dimensionless quantity used in the Darcy–Weisbach equation, for the description of friction losses in pipe flow as well as open-channel flow.

How to Calculate Friction Factor given Shear Velocity?

Friction Factor given Shear Velocity calculator uses Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2 to calculate the Darcy Friction Factor, The Friction Factor given Shear Velocity is defined as constant when multiplied with stress to calculate force in pipe. Darcy Friction Factor is denoted by f symbol.

How to calculate Friction Factor given Shear Velocity using this online calculator? To use this online calculator for Friction Factor given Shear Velocity, enter Shear Velocity (V_shear) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Friction Factor given Shear Velocity calculation can be explained with given input values -> 6.352318 = 8*(9/10.1)^2.

FAQ

What is Friction Factor given Shear Velocity?

The Friction Factor given Shear Velocity is defined as constant when multiplied with stress to calculate force in pipe and is represented as f = 8*(V_shear/V_mean)^2 or Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2. Shear velocity, also called friction velocity, is a form by which a shear stress may be re-written in units of velocity & Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

How to calculate Friction Factor given Shear Velocity?

The Friction Factor given Shear Velocity is defined as constant when multiplied with stress to calculate force in pipe is calculated using Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2. To calculate Friction Factor given Shear Velocity, you need Shear Velocity (V_shear) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Shear Velocity & Mean Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Darcy Friction Factor?

In this formula, Darcy Friction Factor uses Shear Velocity & Mean Velocity. We can use 4 other way(s) to calculate the same, which is/are as follows -

Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2)
Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
Darcy Friction Factor = 64/Reynolds Number
Darcy Friction Factor = (8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)

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