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Effective Particle Diameter by Ergun given Frication Factor Formula

GoEffective Particle Diameter by Ergun given Reynolds Number Formula

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

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

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

Effective Particle Diameter by Ergun given Frication Factor Example

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Here is how the Effective Particle Diameter by Ergun given Frication Factor equation looks like with Values.

Here is how the Effective Particle Diameter by Ergun given Frication Factor equation looks like with Units.

Here is how the Effective Particle Diameter by Ergun given Frication Factor equation looks like.

24.7921 = \frac{1.148 \cdot 1100 \cdot {0.05}^{2} \cdot (1 - 0.75)}{9.8 \cdot 0.0077 \cdot {0.75}^{3}}

24.7921m = \frac{1.148 \cdot 1100m \cdot {0.05m/s}^{2} \cdot (1 - 0.75)}{9.8m/s² \cdot 0.0077m \cdot {0.75}^{3}}

24.7921 = \frac{1.148 \cdot 1100 \cdot {0.05}^{2} \cdot (1 - 0.75)}{9.8 \cdot 0.0077 \cdot {0.75}^{3}}

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Effective Particle Diameter by Ergun given Frication Factor Solution

Follow our step by step solution on how to calculate Effective Particle Diameter by Ergun given Frication Factor?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D eff = \frac{1.148 \cdot 1100m \cdot {0.05m/s}^{2} \cdot (1 - 0.75)}{9.8m/s² \cdot 0.0077m \cdot {0.75}^{3}}

Next Step Prepare to Evaluate

∴

D eff = \frac{1.148 \cdot 1100 \cdot {0.05}^{2} \cdot (1 - 0.75)}{9.8 \cdot 0.0077 \cdot {0.75}^{3}}

Next Step Evaluate

∴

D eff = 24.7921390778534m

LAST Step Rounding Answer

∴

D eff = 24.7921m

Effective Particle Diameter by Ergun given Frication Factor Formula Elements

Variables

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)

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

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

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

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

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

Other Formulas to find Diameter(eff)

Go Effective Particle Diameter by Ergun given Reynolds Number

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

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 Superficial Velocity by Ergun given Reynolds Number

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

How to Evaluate Effective Particle Diameter by Ergun given Frication Factor?

Effective Particle Diameter by Ergun given Frication Factor evaluator uses Diameter(eff) = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3) to evaluate the Diameter(eff), The Effective particle diameter by Ergun given frication factor formula is defined as the diameter of the particle required for the given value pf friction factor. Diameter(eff) is denoted by D_eff symbol.

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

FAQs on Effective Particle Diameter by Ergun given Frication Factor

What is the formula to find Effective Particle Diameter by Ergun given Frication Factor?

The formula of Effective Particle Diameter by Ergun given Frication Factor is expressed as Diameter(eff) = (Factor of Friction*Length of Packaged Bed*Superficial Velocity^2*(1-Void Fraction))/(Acceleration due to Gravity*Head of Fluid*Void Fraction^3). Here is an example- 24.79214 = (1.148*1100*0.05^2*(1-0.75))/(9.8*0.0077*0.75^3).

How to calculate Effective Particle Diameter by Ergun given Frication Factor?

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

What are the other ways to Calculate Diameter(eff)?

Here are the different ways to Calculate Diameter(eff)-

Diameter(eff)=(Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density)

Can the Effective Particle Diameter by Ergun given Frication Factor be negative?

Yes, the Effective Particle Diameter by Ergun given Frication Factor, measured in Length can be negative.

Which unit is used to measure Effective Particle Diameter by Ergun given Frication Factor?

Effective Particle Diameter by Ergun given Frication Factor is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Effective Particle Diameter by Ergun given Frication Factor can be measured.

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Effective Particle Diameter by Ergun given Frication Factor Formula

​GoEffective Particle Diameter by Ergun given Reynolds Number Formula

Effective Particle Diameter by Ergun given Frication Factor Example

Effective Particle Diameter by Ergun given Frication Factor Solution

Effective Particle Diameter by Ergun given Frication Factor Formula Elements

Other Formulas to find Diameter(eff)

Other formulas in Flow of Liquids inside Packed Beds category

How to Evaluate Effective Particle Diameter by Ergun given Frication Factor?

FAQs on Effective Particle Diameter by Ergun given Frication Factor

Variable Name

GoEffective Particle Diameter by Ergun given Reynolds Number Formula