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Superficial Velocity by Ergun given Reynolds Number Formula

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

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

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

Superficial Velocity by Ergun given Reynolds Number Example

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Here is how the Superficial Velocity by Ergun given Reynolds Number equation looks like with Values.

Here is how the Superficial Velocity by Ergun given Reynolds Number equation looks like with Units.

Here is how the Superficial Velocity by Ergun given Reynolds Number equation looks like.

0.05 = \frac{200 \cdot 24.925 \cdot (1 - 0.75)}{24.99 \cdot 997}

0.05m/s = \frac{200 \cdot 24.925Pa*s \cdot (1 - 0.75)}{24.99m \cdot 997kg/m³}

0.05 = \frac{200 \cdot 24.925 \cdot (1 - 0.75)}{24.99 \cdot 997}

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Superficial Velocity by Ergun given Reynolds Number Solution

Follow our step by step solution on how to calculate Superficial Velocity by Ergun given Reynolds Number?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U b = \frac{200 \cdot 24.925Pa*s \cdot (1 - 0.75)}{24.99m \cdot 997kg/m³}

Next Step Prepare to Evaluate

∴

U b = \frac{200 \cdot 24.925 \cdot (1 - 0.75)}{24.99 \cdot 997}

Next Step Evaluate

∴

U b = 0.0500200080032013m/s

LAST Step Rounding Answer

∴

U b = 0.05m/s

Superficial Velocity by Ergun given Reynolds Number Formula Elements

Variables

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

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

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)

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 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 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 Superficial Velocity by Ergun given Reynolds Number?

Superficial Velocity by Ergun given Reynolds Number evaluator uses Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density) to evaluate the Superficial Velocity, The Superficial velocity by Ergun given Reynolds number formula is defined as the volumetric flow rate of that fluid divided by the cross-sectional area. Superficial Velocity is denoted by U_b symbol.

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

FAQs on Superficial Velocity by Ergun given Reynolds Number

What is the formula to find Superficial Velocity by Ergun given Reynolds Number?

The formula of Superficial Velocity by Ergun given Reynolds Number is expressed as Superficial Velocity = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Density). Here is an example- 2E-6 = (200*24.925*(1-0.75))/(24.99*997).

How to calculate Superficial Velocity by Ergun given Reynolds Number?

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

Can the Superficial Velocity by Ergun given Reynolds Number be negative?

No, the Superficial Velocity by Ergun given Reynolds Number, measured in Speed cannot be negative.

Which unit is used to measure Superficial Velocity by Ergun given Reynolds Number?

Superficial Velocity by Ergun given Reynolds Number is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Superficial Velocity by Ergun given Reynolds Number can be measured.

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Superficial Velocity by Ergun given Reynolds Number Formula

Superficial Velocity by Ergun given Reynolds Number Example

Superficial Velocity by Ergun given Reynolds Number Solution

Superficial Velocity by Ergun given Reynolds Number Formula Elements

Other formulas in Flow of Liquids inside Packed Beds category

How to Evaluate Superficial Velocity by Ergun given Reynolds Number?

FAQs on Superficial Velocity by Ergun given Reynolds Number

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