Friction Factor given Shear Velocity Calculator

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

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Formula

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Friction Factor given Shear Velocity

Formula

f = 8 \cdot {(\frac{V shear}{V mean})}^{2}

Example

6.352318 = 8 \cdot {(\frac{9 m/s}{10.1 m/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 - 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.
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.

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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< 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 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 ?

The friction factor is a dimensionless number that quantifies the resistance to flow (or energy loss) due to friction within a pipe or channel. It is crucial in fluid dynamics, particularly when analyzing the flow of water through pipes, wells, or other conduits. The friction factor is used in the Darcy-Weisbach equation, which relates the pressure drop or head loss due to friction to the velocity of the flow, pipe length, and pipe diameter.

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 the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the velocity at which shear stress is converted into a velocity unit. 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 the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the velocity at which shear stress is converted into a velocity unit and is represented as f = 8*(V_shear/V_mean)^2 or Darcy Friction Factor = 8*(Shear Velocity/Mean Velocity)^2. 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 & The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

How to calculate Friction Factor given Shear Velocity?

The Friction Factor given Shear Velocity is defined as the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the velocity at which shear stress is converted into a velocity unit 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 3 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

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