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Friction Factor by Ergun Formula

GoFriction Factor by Kozeny-Carman Formula

GoFriction Factor by Ergun for Rep Value between 1 and 2500 Formula

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Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number. Check FAQs

f f = \frac{g \cdot D eff \cdot H f \cdot ∈^{3}}{L b \cdot {U b}^{2} \cdot (1 - ∈)}

f_f - Factor of Friction?g - Acceleration due to Gravity?D_eff - Diameter(eff)?H_f - Head of Fluid?∈ - Void Fraction?L_b - Length of Packaged Bed?U_b - Superficial Velocity?

Friction Factor by Ergun Example

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

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

Here is how the Friction Factor by Ergun equation looks like.

1.1572 = \frac{9.8 \cdot 24.99 \cdot 0.0077 \cdot {0.75}^{3}}{1100 \cdot {0.05}^{2} \cdot (1 - 0.75)}

1.1572 = \frac{9.8m/s² \cdot 24.99m \cdot 0.0077m \cdot {0.75}^{3}}{1100m \cdot {0.05m/s}^{2} \cdot (1 - 0.75)}

1.1572 = \frac{9.8 \cdot 24.99 \cdot 0.0077 \cdot {0.75}^{3}}{1100 \cdot {0.05}^{2} \cdot (1 - 0.75)}

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Friction Factor by Ergun Solution

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

FIRST Step Consider the formula

f f = \frac{g \cdot D eff \cdot H f \cdot ∈^{3}}{L b \cdot {U b}^{2} \cdot (1 - ∈)}

Next Step Substitute values of Variables

∴

f f = \frac{9.8m/s² \cdot 24.99m \cdot 0.0077m \cdot {0.75}^{3}}{1100m \cdot {0.05m/s}^{2} \cdot (1 - 0.75)}

Next Step Prepare to Evaluate

∴

f f = \frac{9.8 \cdot 24.99 \cdot 0.0077 \cdot {0.75}^{3}}{1100 \cdot {0.05}^{2} \cdot (1 - 0.75)}

Next Step Evaluate

∴

f f = 1.15716195

LAST Step Rounding Answer

∴

f f = 1.1572

Friction Factor by Ergun Formula Elements

Variables

Factor of Friction

Factor of Friction or Moody chart is the plot of the relative roughness (e/D) of a pipe against Reynold's number.

Symbol: f_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Factor of Friction

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Diameter(eff)

Diameter(eff) is a chord that runs through the center point of the circle.

Symbol: D_eff

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Diameter(eff)

Head of Fluid

The Head of Fluid is the height of a vertical column of fluid and represents mechanical energy per pound of fluid.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head of Fluid

Void Fraction

Void Fraction is the fraction of the channel volume that is occupied by the gas phase.

Symbol: ∈

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Void Fraction

Length of Packaged Bed

Length of Packaged Bed is the measurement or extent of something from end to end.

Symbol: L_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Packaged Bed

Superficial Velocity

Superficial Velocity is the volumetric flow rate divided by a cross sectional area.

Symbol: U_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Superficial Velocity

Other Formulas to find Factor of Friction

Go Friction Factor by Kozeny-Carman

f f = \frac{150}{Re pb}

Go Friction Factor by Ergun for Rep Value between 1 and 2500

f f = \frac{150}{Re pb} + 1.75

Other formulas in Flow of Liquids inside Packed Beds category

Go Reynolds Number of Packed Beds by Ergun

Re pb = \frac{D eff \cdot U b \cdot ρ}{μ \cdot (1 - ∈)}

Go Effective Particle Diameter by Ergun given Reynolds Number

D eff = \frac{Re pb \cdot μ \cdot (1 - ∈)}{U b \cdot ρ}

How to Evaluate Friction Factor by Ergun?

Friction Factor by Ergun evaluator uses Factor of Friction = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction)) to evaluate the Factor of Friction, The Friction factor by Ergun formula is defined as the ratio of the absolute roughness ε of the pipe inside wall to the pipe inside diameter. Factor of Friction is denoted by f_f symbol.

How to evaluate Friction Factor by Ergun using this online evaluator? To use this online evaluator for Friction Factor by Ergun, enter Acceleration due to Gravity (g), Diameter(eff) (D_eff), Head of Fluid (H_f), Void Fraction (∈), Length of Packaged Bed (L_b) & Superficial Velocity (U_b) and hit the calculate button.

FAQs on Friction Factor by Ergun

What is the formula to find Friction Factor by Ergun?

The formula of Friction Factor by Ergun is expressed as Factor of Friction = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction)). Here is an example- 0.000463 = (9.8*24.99*0.0077*0.75^3)/(1100*0.05^2*(1-0.75)).

How to calculate Friction Factor by Ergun?

With Acceleration due to Gravity (g), Diameter(eff) (D_eff), Head of Fluid (H_f), Void Fraction (∈), Length of Packaged Bed (L_b) & Superficial Velocity (U_b) we can find Friction Factor by Ergun using the formula - Factor of Friction = (Acceleration due to Gravity*Diameter(eff)*Head of Fluid*Void Fraction^3)/(Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction)).

What are the other ways to Calculate Factor of Friction?

Here are the different ways to Calculate Factor of Friction-

Factor of Friction=150/Reynolds Number(pb)
Factor of Friction=150/Reynolds Number(pb)+1.75
Factor of Friction=(1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb)))

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Friction Factor by Ergun Formula

​GoFriction Factor by Kozeny-Carman Formula

​GoFriction Factor by Ergun for Rep Value between 1 and 2500 Formula

Friction Factor by Ergun Example

Friction Factor by Ergun Solution

Friction Factor by Ergun Formula Elements

Other Formulas to find Factor of Friction

Other formulas in Flow of Liquids inside Packed Beds category

How to Evaluate Friction Factor by Ergun?

FAQs on Friction Factor by Ergun

Variable Name

GoFriction Factor by Kozeny-Carman Formula

GoFriction Factor by Ergun for Rep Value between 1 and 2500 Formula