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Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Formula

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The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase. Check FAQs

d' p = d p \cdot ({(\frac{ρ gas \cdot (ρ solids - ρ gas) \cdot [g]}{{(μ L)}^{2}})}^{\frac{1}{3}})

d'_p - Dimensionless Diameter?d_p - Diameter of Particle?ρ_gas - Density of Gas?ρ_solids - Density of Solids?μ_L - Viscosity of Liquid?[g] - Gravitational acceleration on Earth?

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Example

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Here is how the Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime equation looks like with Values.

Here is how the Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime equation looks like with Units.

Here is how the Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime equation looks like.

3.2085 = 0.0367 \cdot ({(\frac{1.225 \cdot (1000 - 1.225) \cdot 9.8066}{{(0.134)}^{2}})}^{\frac{1}{3}})

3.2085 = 0.0367m \cdot ({(\frac{1.225kg/m³ \cdot (1000kg/m³ - 1.225kg/m³) \cdot 9.8066m/s²}{{(0.134Pa*s)}^{2}})}^{\frac{1}{3}})

3.2085 = 0.0367 \cdot ({(\frac{1.225 \cdot (1000 - 1.225) \cdot 9.8066}{{(0.134)}^{2}})}^{\frac{1}{3}})

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Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Solution

Follow our step by step solution on how to calculate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime?

FIRST Step Consider the formula

d' p = d p \cdot ({(\frac{ρ gas \cdot (ρ solids - ρ gas) \cdot [g]}{{(μ L)}^{2}})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

d' p = 0.0367m \cdot ({(\frac{1.225kg/m³ \cdot (1000kg/m³ - 1.225kg/m³) \cdot [g]}{{(0.134Pa*s)}^{2}})}^{\frac{1}{3}})

Next Step Substitute values of Constants

∴

d' p = 0.0367m \cdot ({(\frac{1.225kg/m³ \cdot (1000kg/m³ - 1.225kg/m³) \cdot 9.8066m/s²}{{(0.134Pa*s)}^{2}})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

d' p = 0.0367 \cdot ({(\frac{1.225 \cdot (1000 - 1.225) \cdot 9.8066}{{(0.134)}^{2}})}^{\frac{1}{3}})

Next Step Evaluate

∴

d' p = 3.20851697376382

LAST Step Rounding Answer

∴

d' p = 3.2085

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Formula Elements

Variables

Constants

Dimensionless Diameter

The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.

Symbol: d'_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dimensionless Diameter

Diameter of Particle

Diameter of Particle refers to the size of individual particles within a substance or material. It is a measure of the linear dimension of a particle and is often expressed as a length.

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Particle

Density of Gas

Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

Symbol: ρ_gas

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Gas

Density of Solids

Density of Solids is a measure of how much mass is contained in a given volume of a solid substance. It is expressed as mass per unit volume.

Symbol: ρ_solids

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Solids

Viscosity of Liquid

Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_L

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Viscosity of Liquid

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Various Fluidized Reactors category

Go Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime

u' = u \cdot {(\frac{{ρ gas}^{2}}{μ L \cdot (ρ solids - ρ gas) \cdot [g]})}^{\frac{1}{3}}

Go Terminal Velocity of Fluid for Spherical Particles

u t = {((\frac{18}{{(d' p)}^{2}}) + (\frac{0.591}{\sqrt{d' p}}))}^{- 1}

Go Terminal Velocity of Fluids for Irregular Shaped Particles

u t = {((\frac{18}{{(d' p)}^{2}}) + (\frac{2.335 - (1.744 \cdot Φ p)}{\sqrt{d' p}}))}^{- 1}

Go Rise Velocity of Bubble

u br = 0.711 \cdot \sqrt{[g] \cdot d b}

How to Evaluate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime?

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime evaluator uses Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3)) to evaluate the Dimensionless Diameter, Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime formula is defined as Minimum Particle Size achieved when Fluidization in Reactor occurs. Dimensionless Diameter is denoted by d'_p symbol.

How to evaluate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime using this online evaluator? To use this online evaluator for Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime, enter Diameter of Particle (d_p), Density of Gas (ρ_gas), Density of Solids (ρ_solids) & Viscosity of Liquid (μ_L) and hit the calculate button.

FAQs on Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime

What is the formula to find Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime?

The formula of Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime is expressed as Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3)). Here is an example- 0.003207 = 0.0367*(((1.225*(1000-1.225)*[g])/(0.134)^2)^(1/3)).

How to calculate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime?

With Diameter of Particle (d_p), Density of Gas (ρ_gas), Density of Solids (ρ_solids) & Viscosity of Liquid (μ_L) we can find Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime using the formula - Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3)). This formula also uses Gravitational acceleration on Earth constant(s).

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Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Formula

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Example

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Solution

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime Formula Elements

Other formulas in Various Fluidized Reactors category

How to Evaluate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime?

FAQs on Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime

Variable Name