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Friction Factor Formula

GoFriction Factor when Head Loss is due to Frictional Resistance Formula

GoFriction Factor given Reynolds Number Formula

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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. Check FAQs

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

f - Darcy Friction Factor?μ - Dynamic Viscosity?ρ_Fluid - Density of Fluid?V_mean - Mean Velocity?D_pipe - Diameter of Pipe?

Friction Factor Example

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With units

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Here is how the Friction Factor equation looks like with Values.

Here is how the Friction Factor equation looks like with Units.

Here is how the Friction Factor equation looks like.

5.224 = 64 \cdot \frac{10.2}{1.225 \cdot 10.1 \cdot 1.01}

5.224 = 64 \cdot \frac{10.2P}{1.225kg/m³ \cdot 10.1m/s \cdot 1.01m}

5.224 = 64 \cdot \frac{10.2}{1.225 \cdot 10.1 \cdot 1.01}

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Friction Factor Solution

Follow our step by step solution on how to calculate Friction Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = 64 \cdot \frac{10.2P}{1.225kg/m³ \cdot 10.1m/s \cdot 1.01m}

Next Step Convert Units

∴

f = 64 \cdot \frac{1.02Pa*s}{1.225kg/m³ \cdot 10.1m/s \cdot 1.01m}

Next Step Prepare to Evaluate

∴

f = 64 \cdot \frac{1.02}{1.225 \cdot 10.1 \cdot 1.01}

Next Step Evaluate

∴

f = 5.22397764124766

LAST Step Rounding Answer

∴

f = 5.224

Friction Factor Formula Elements

Variables

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

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Density of Fluid

The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume.

Symbol: ρ_Fluid

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Fluid

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

Diameter of Pipe

The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Other Formulas to find Darcy Friction Factor

Go Friction Factor when Head Loss is due to Frictional Resistance

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

Go Friction Factor given Reynolds Number

f = \frac{64}{Re}

Go Friction Factor given Shear Stress and Density

f = \frac{8 \cdot 𝜏}{V mean \cdot V mean \cdot ρ Fluid}

Go Friction Factor given Shear Velocity

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

How to Evaluate Friction Factor?

Friction Factor evaluator uses Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe) to evaluate the Darcy Friction Factor, The Friction Factor formula is defined as the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction. Darcy Friction Factor is denoted by f symbol.

How to evaluate Friction Factor using this online evaluator? To use this online evaluator for Friction Factor, enter Dynamic Viscosity (μ), Density of Fluid (ρ_Fluid), Mean Velocity (V_mean) & Diameter of Pipe (D_pipe) and hit the calculate button.

FAQs on Friction Factor

What is the formula to find Friction Factor?

The formula of Friction Factor is expressed as Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe). Here is an example- 5.223978 = 64*1.02/(1.225*10.1*1.01).

How to calculate Friction Factor?

With Dynamic Viscosity (μ), Density of Fluid (ρ_Fluid), Mean Velocity (V_mean) & Diameter of Pipe (D_pipe) we can find Friction Factor using the formula - Darcy Friction Factor = 64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe).

What are the other ways to Calculate Darcy Friction Factor?

Here are the different ways to Calculate Darcy Friction Factor-

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

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Friction Factor Formula

​GoFriction Factor when Head Loss is due to Frictional Resistance Formula

​GoFriction Factor given Reynolds Number Formula

Friction Factor Example

Friction Factor Solution

Friction Factor Formula Elements

Other Formulas to find Darcy Friction Factor

How to Evaluate Friction Factor?

FAQs on Friction Factor

Variable Name

GoFriction Factor when Head Loss is due to Frictional Resistance Formula

GoFriction Factor given Reynolds Number Formula