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Reynolds Number of Packed Beds by Ergun Formula

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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. Check FAQs

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

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

Reynolds Number of Packed Beds by Ergun Example

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Here is how the Reynolds Number of Packed Beds by Ergun equation looks like with Values.

Here is how the Reynolds Number of Packed Beds by Ergun equation looks like with Units.

Here is how the Reynolds Number of Packed Beds by Ergun equation looks like.

199.92 = \frac{24.99 \cdot 0.05 \cdot 997}{24.925 \cdot (1 - 0.75)}

199.92 = \frac{24.99m \cdot 0.05m/s \cdot 997kg/m³}{24.925Pa*s \cdot (1 - 0.75)}

199.92 = \frac{24.99 \cdot 0.05 \cdot 997}{24.925 \cdot (1 - 0.75)}

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Reynolds Number of Packed Beds by Ergun Solution

Follow our step by step solution on how to calculate Reynolds Number of Packed Beds by Ergun?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Re pb = \frac{24.99m \cdot 0.05m/s \cdot 997kg/m³}{24.925Pa*s \cdot (1 - 0.75)}

Next Step Prepare to Evaluate

∴

Re pb = \frac{24.99 \cdot 0.05 \cdot 997}{24.925 \cdot (1 - 0.75)}

LAST Step Evaluate

∴

Re pb = 199.92

Reynolds Number of Packed Beds by Ergun Formula Elements

Variables

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)

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)

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

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

Other formulas in Flow of Liquids inside Packed Beds category

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}

Go Absolute Viscosity of Fluid by Ergun

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

How to Evaluate Reynolds Number of Packed Beds by Ergun?

Reynolds Number of Packed Beds by Ergun evaluator uses Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction)) to evaluate the Reynolds Number(pb), The Reynolds number of packed beds by Ergun formula is defined as the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. Reynolds Number(pb) is denoted by Re_pb symbol.

How to evaluate Reynolds Number of Packed Beds by Ergun using this online evaluator? To use this online evaluator for Reynolds Number of Packed Beds by Ergun, enter Diameter(eff) (D_eff), Superficial Velocity (U_b), Density (ρ), Absolute Viscosity (μ) & Void Fraction (∈) and hit the calculate button.

FAQs on Reynolds Number of Packed Beds by Ergun

What is the formula to find Reynolds Number of Packed Beds by Ergun?

The formula of Reynolds Number of Packed Beds by Ergun is expressed as Reynolds Number(pb) = (Diameter(eff)*Superficial Velocity*Density)/(Absolute Viscosity*(1-Void Fraction)). Here is an example- 5E+6 = (24.99*0.05*997)/(24.925*(1-0.75)).

How to calculate Reynolds Number of Packed Beds by Ergun?

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

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Reynolds Number of Packed Beds by Ergun Formula

Reynolds Number of Packed Beds by Ergun Example

Reynolds Number of Packed Beds by Ergun Solution

Reynolds Number of Packed Beds by Ergun Formula Elements

Other formulas in Flow of Liquids inside Packed Beds category

How to Evaluate Reynolds Number of Packed Beds by Ergun?

FAQs on Reynolds Number of Packed Beds by Ergun

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