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Effective Particle Diameter by Ergun given Reynolds Number Formula

GoEffective Particle Diameter by Ergun given Frication Factor Formula

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

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

D_eff - Diameter(eff)?Re_pb - Reynolds Number(pb)?μ - Absolute Viscosity?∈ - Void Fraction?U_b - Superficial Velocity?ρ - Density?

Effective Particle Diameter by Ergun given Reynolds Number Example

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

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

Here is how the Effective Particle Diameter by Ergun given Reynolds Number equation looks like.

25 = \frac{200 \cdot 24.925 \cdot (1 - 0.75)}{0.05 \cdot 997}

25m = \frac{200 \cdot 24.925Pa*s \cdot (1 - 0.75)}{0.05m/s \cdot 997kg/m³}

25 = \frac{200 \cdot 24.925 \cdot (1 - 0.75)}{0.05 \cdot 997}

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Effective Particle Diameter by Ergun given Reynolds Number Solution

Follow our step by step solution on how to calculate Effective Particle Diameter by Ergun given Reynolds Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D eff = \frac{200 \cdot 24.925Pa*s \cdot (1 - 0.75)}{0.05m/s \cdot 997kg/m³}

Next Step Prepare to Evaluate

∴

D eff = \frac{200 \cdot 24.925 \cdot (1 - 0.75)}{0.05 \cdot 997}

LAST Step Evaluate

∴

D eff = 25m

Effective Particle Diameter by Ergun given Reynolds Number 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)

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)

Absolute Viscosity

Absolute Viscosity is the measurement of the fluid's internal resistance to flow.

Symbol: μ

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value can be positive or negative.

Formulas to find Absolute Viscosity

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

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

Density

The Density of a material shows the denseness of that material in a specific given area. This is taken as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Other Formulas to find Diameter(eff)

Go Effective Particle Diameter by Ergun given Frication Factor

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

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}

Go Density of Fluid by Ergun

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

Go Absolute Viscosity of Fluid by Ergun

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

How to Evaluate Effective Particle Diameter by Ergun given Reynolds Number?

Effective Particle Diameter by Ergun given Reynolds Number evaluator uses Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density) to evaluate the Diameter(eff), The Effective particle diameter by Ergun given Reynolds number formula is defined as the diameter of the particle required for the given Reynolds number. Diameter(eff) is denoted by D_eff symbol.

How to evaluate Effective Particle Diameter by Ergun given Reynolds Number using this online evaluator? To use this online evaluator for Effective Particle Diameter by Ergun given Reynolds Number, enter Reynolds Number(pb) (Re_pb), Absolute Viscosity (μ), Void Fraction (∈), Superficial Velocity (U_b) & Density (ρ) and hit the calculate button.

FAQs on Effective Particle Diameter by Ergun given Reynolds Number

What is the formula to find Effective Particle Diameter by Ergun given Reynolds Number?

The formula of Effective Particle Diameter by Ergun given Reynolds Number is expressed as Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density). Here is an example- 0.001003 = (200*24.925*(1-0.75))/(0.05*997).

How to calculate Effective Particle Diameter by Ergun given Reynolds Number?

With Reynolds Number(pb) (Re_pb), Absolute Viscosity (μ), Void Fraction (∈), Superficial Velocity (U_b) & Density (ρ) we can find Effective Particle Diameter by Ergun given Reynolds Number using the formula - Diameter(eff) = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Superficial Velocity*Density).

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

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

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)

Can the Effective Particle Diameter by Ergun given Reynolds Number be negative?

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

Which unit is used to measure Effective Particle Diameter by Ergun given Reynolds Number?

Effective Particle Diameter by Ergun given Reynolds Number 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 Reynolds Number can be measured.

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Effective Particle Diameter by Ergun given Reynolds Number Formula

​GoEffective Particle Diameter by Ergun given Frication Factor Formula

Effective Particle Diameter by Ergun given Reynolds Number Example

Effective Particle Diameter by Ergun given Reynolds Number Solution

Effective Particle Diameter by Ergun given Reynolds Number 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 Reynolds Number?

FAQs on Effective Particle Diameter by Ergun given Reynolds Number

Variable Name

GoEffective Particle Diameter by Ergun given Frication Factor Formula