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Friction Factor by Beek Formula

GoFriction Factor by Ergun Formula

GoFriction Factor by Kozeny-Carman 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{1 - ∈}{∈^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - ∈}{Re pb}))

f_f - Factor of Friction?∈ - Void Fraction?Re_pb - Reynolds Number(pb)?

Friction Factor by Beek Example

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

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

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

1.1481 = \frac{1 - 0.75}{{0.75}^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - 0.75}{200}))

1.1481 = \frac{1 - 0.75}{{0.75}^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - 0.75}{200}))

1.1481 = \frac{1 - 0.75}{{0.75}^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - 0.75}{200}))

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Friction Factor by Beek Solution

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

FIRST Step Consider the formula

f f = \frac{1 - ∈}{∈^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - ∈}{Re pb}))

Next Step Substitute values of Variables

∴

f f = \frac{1 - 0.75}{{0.75}^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - 0.75}{200}))

Next Step Prepare to Evaluate

∴

f f = \frac{1 - 0.75}{{0.75}^{3}} \cdot (1.75 + 150 \cdot (\frac{1 - 0.75}{200}))

Next Step Evaluate

∴

f f = 1.14814814814815

LAST Step Rounding Answer

∴

f f = 1.1481

Friction Factor by Beek 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

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

Reynolds Number(pb)

Reynolds number(pb) is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

Symbol: Re_pb

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number(pb)

Other Formulas to find Factor of Friction

Go Friction Factor by Ergun

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

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}

Go Superficial Velocity by Ergun given Reynolds Number

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

Go Density of Fluid by Ergun

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

How to Evaluate Friction Factor by Beek?

Friction Factor by Beek evaluator uses Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb))) to evaluate the Factor of Friction, The Friction factor by Beek 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 Beek using this online evaluator? To use this online evaluator for Friction Factor by Beek, enter Void Fraction (∈) & Reynolds Number(pb) (Re_pb) and hit the calculate button.

FAQs on Friction Factor by Beek

What is the formula to find Friction Factor by Beek?

The formula of Friction Factor by Beek is expressed as Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb))). Here is an example- 1.148148 = (1-0.75)/(0.75^3)*(1.75+150*((1-0.75)/200)).

How to calculate Friction Factor by Beek?

With Void Fraction (∈) & Reynolds Number(pb) (Re_pb) we can find Friction Factor by Beek using the formula - Factor of Friction = (1-Void Fraction)/(Void Fraction^3)*(1.75+150*((1-Void Fraction)/Reynolds Number(pb))).

What are the other ways to Calculate Factor of Friction?

Here are the different ways to Calculate Factor of Friction-

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))
Factor of Friction=150/Reynolds Number(pb)
Factor of Friction=150/Reynolds Number(pb)+1.75

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: Value
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Friction Factor by Beek Formula

​GoFriction Factor by Ergun Formula

​GoFriction Factor by Kozeny-Carman Formula

Friction Factor by Beek Example

Friction Factor by Beek Solution

Friction Factor by Beek 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 Beek?

FAQs on Friction Factor by Beek

Variable Name

GoFriction Factor by Ergun Formula

GoFriction Factor by Kozeny-Carman Formula