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

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the dimensionless velocity is a parameter used to characterize the flow behavior of the gas phase relative to the solid particles within the reactor. Check FAQs

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

u^' - Dimensionless Velocity?u - Velocity in Tube?ρ_gas - Density of Gas?μ_L - Viscosity of Liquid?ρ_solids - Density of Solids?[g] - Gravitational acceleration on Earth?

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

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

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

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

0.08 = 0.765 \cdot {(\frac{{1.225}^{2}}{0.134 \cdot (1000 - 1.225) \cdot 9.8066})}^{\frac{1}{3}}

0.08 = 0.765m/s \cdot {(\frac{{1.225kg/m³}^{2}}{0.134Pa*s \cdot (1000kg/m³ - 1.225kg/m³) \cdot 9.8066m/s²})}^{\frac{1}{3}}

0.08 = 0.765 \cdot {(\frac{{1.225}^{2}}{0.134 \cdot (1000 - 1.225) \cdot 9.8066})}^{\frac{1}{3}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

u' = 0.765m/s \cdot {(\frac{{1.225kg/m³}^{2}}{0.134Pa*s \cdot (1000kg/m³ - 1.225kg/m³) \cdot [g]})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

u' = 0.765m/s \cdot {(\frac{{1.225kg/m³}^{2}}{0.134Pa*s \cdot (1000kg/m³ - 1.225kg/m³) \cdot 9.8066m/s²})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

u' = 0.765 \cdot {(\frac{{1.225}^{2}}{0.134 \cdot (1000 - 1.225) \cdot 9.8066})}^{\frac{1}{3}}

Next Step Evaluate

∴

u' = 0.0799934538530838

LAST Step Rounding Answer

∴

u' = 0.08

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

Variables

Constants

Dimensionless Velocity

the dimensionless velocity is a parameter used to characterize the flow behavior of the gas phase relative to the solid particles within the reactor.

Symbol: u^'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Dimensionless Velocity

Velocity in Tube

Velocity in Tube is the Velocity of the fluid throughout the pipe.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity in Tube

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

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

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

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 Diameter for Fluidized Reactors at G/S Contacting Regime

d' p = d p \cdot ({(\frac{ρ gas \cdot (ρ solids - ρ gas) \cdot [g]}{{(μ L)}^{2}})}^{\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 Velocity for Fluidized Reactors at G/S Contacting Regime?

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

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

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

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

The formula of Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime is expressed as Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3). Here is an example- 2.530512 = 0.765*((1.225^2)/(0.134*(1000-1.225)*[g]))^(1/3).

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

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

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

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

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

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

Other formulas in Various Fluidized Reactors category

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

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

Variable Name