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Density of Fluid by Ergun Formula

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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. Check FAQs

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

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

Density of Fluid by Ergun Example

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Here is how the Density of Fluid by Ergun equation looks like with Values.

Here is how the Density of Fluid by Ergun equation looks like with Units.

Here is how the Density of Fluid by Ergun equation looks like.

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

997.399kg/m³ = \frac{200 \cdot 24.925Pa*s \cdot (1 - 0.75)}{24.99m \cdot 0.05m/s}

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

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Density of Fluid by Ergun Solution

Follow our step by step solution on how to calculate Density of Fluid by Ergun?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

ρ = 997.398959583834kg/m³

LAST Step Rounding Answer

∴

ρ = 997.399kg/m³

Density of Fluid by Ergun Formula Elements

Variables

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

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)

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

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 Absolute Viscosity of Fluid by Ergun

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

How to Evaluate Density of Fluid by Ergun?

Density of Fluid by Ergun evaluator uses Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity) to evaluate the Density, The Density of fluid by Ergun formula is defined as mass of a unit volume of a material substance. Density is denoted by ρ symbol.

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

FAQs on Density of Fluid by Ergun

What is the formula to find Density of Fluid by Ergun?

The formula of Density of Fluid by Ergun is expressed as Density = (Reynolds Number(pb)*Absolute Viscosity*(1-Void Fraction))/(Diameter(eff)*Superficial Velocity). Here is an example- 0.040016 = (200*24.925*(1-0.75))/(24.99*0.05).

How to calculate Density of Fluid by Ergun?

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

Can the Density of Fluid by Ergun be negative?

No, the Density of Fluid by Ergun, measured in Density cannot be negative.

Which unit is used to measure Density of Fluid by Ergun?

Density of Fluid by Ergun is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of Fluid by Ergun can be measured.

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Density of Fluid by Ergun Formula

Density of Fluid by Ergun Example

Density of Fluid by Ergun Solution

Density of Fluid by Ergun Formula Elements

Other formulas in Flow of Liquids inside Packed Beds category

How to Evaluate Density of Fluid by Ergun?

FAQs on Density of Fluid by Ergun

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