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

✖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.ⓘ Diameter of Particle [d_p]			+10% -10%
✖Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.ⓘ Density of Gas [ρ_gas]			+10% -10%
✖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.ⓘ Density of Solids [ρ_solids]			+10% -10%
✖Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.ⓘ Viscosity of Liquid [μ_L]			+10% -10%

✖The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.ⓘ Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime [d'_p]

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Formula

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Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime

Formula

`"d'"_{"p "} = "d"_{"p"}*((("ρ"_{"gas"}*("ρ"_{"solids"}-"ρ"_{"gas"})*"[g]")/("μ"_{"L"})^2)^(1/3))`

Example

`"3.208517"="0.0367m"*((("1.225kg/m³"*("1000kg/m³"-"1.225kg/m³")*"[g]")/("0.134Pa*s")^2)^(1/3))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3))
d'_p = d_p*(((ρ_gas*(ρ_solids-ρ_gas)*[g])/(μ_L)^2)^(1/3))
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

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.
Diameter of Particle - (Measured in Meter) - 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.
Density of Gas - (Measured in Kilogram per Cubic Meter) - Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.
Density of Solids - (Measured in Kilogram per Cubic Meter) - 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.
Viscosity of Liquid - (Measured in Pascal Second) - Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

STEP 1: Convert Input(s) to Base Unit

Diameter of Particle: 0.0367 Meter --> 0.0367 Meter No Conversion Required
Density of Gas: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Density of Solids: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Viscosity of Liquid: 0.134 Pascal Second --> 0.134 Pascal Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d'_p = d_p*(((ρ_gas*(ρ_solids-ρ_gas)*[g])/(μ_L)^2)^(1/3)) --> 0.0367*(((1.225*(1000-1.225)*[g])/(0.134)^2)^(1/3))

Evaluating ... ...

d'_p = 3.20851697376382

STEP 3: Convert Result to Output's Unit

3.20851697376382 --> No Conversion Required

FINAL ANSWER

3.20851697376382 ≈ 3.208517 <-- Dimensionless Diameter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » Various Fluidized Reactors » Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime

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< 10+ Various Fluidized Reactors Calculators

Rate Constant of Phase between Bubble and Cloud

Go Rate Constant for Bubble Cloud Circulation = 4.50*(Minimum Fluidization Velocity/Diameter of Bubble)+5.85*((Diffusion Coefficient for Fluidized Reactors)^(1/2)*([g])^(1/4))/Diameter of Bubble^(5/4)

Velocity in Pneumatic Conveying

Go Velocity in Pneumatic Conveying = ((21.6*((Gas Flow Rate/Density of Gas)^0.542)*(Dimensionless Diameter^0.315))*sqrt([g]*Diameter of Particle))^(1/1.542)

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime

Go Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3))

Velocity in Fast Fluidized Bed

Go Velocity in Turbulent Fast Fluidized Bed = 1.53*sqrt(((Density of Solids-Density of Gas)*[g]*Diameter of Particle)/Density of Gas)

Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime

Go Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3)

Rate Constant of Phase between Cloud-Wake and Emulsion

Go Rate Constant for Cloud-Wake and Emulsion = 6.77*((Void Fraction at Minimum Fluidization*Diffusion Coefficient for Fluidized Reactors*Rise Velocity of Bubble)/Diameter of Bubble^3)^(1/2)

Terminal Velocity of Fluids for Irregular Shaped Particles

Go Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+((2.335-(1.744*Sphericity of Particle))/sqrt(Dimensionless Diameter)))^(-1)

Rise Velocity of Bubble in Bubbling Bed

Go Velocity in Bubbling Bed = Initial Velocity of Fluid-Minimum Fluidization Velocity+Rise Velocity of Bubble

Terminal Velocity of Fluid for Spherical Particles

Go Terminal Velocity of Fluid = ((18/(Dimensionless Diameter)^2)+(0.591/sqrt(Dimensionless Diameter)))^(-1)

Rise Velocity of Bubble

Go Rise Velocity of Bubble = 0.711*sqrt([g]*Diameter of Bubble)

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

Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3))
d'_p = d_p*(((ρ_gas*(ρ_solids-ρ_gas)*[g])/(μ_L)^2)^(1/3))

What is G/S Regime ?

The terms "G" and "S" could potentially refer to gas and solid phases, respectively, occurs where the phases come into Equilibrium. Gas-solid reactions are common in various industrial processes, including catalysis, combustion, and certain chemical synthesis reactions.

What are Fluidized Reactors ?

Fluidized reactors are a type of chemical reactor that use a fluidized bed as a key component for carrying out various chemical processes. In a fluidized bed reactor, a solid material is suspended and behaves like a fluid when a gas or liquid flows through it. This creates a dynamic system with characteristics of both a solid and a fluid.

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

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime calculator uses Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3)) to calculate 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 calculate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime using this online calculator? To use this online calculator 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. Here is how the Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime calculation can be explained with given input values -> 0.003207 = 0.0367*(((1.225*(1000-1.225)*[g])/(0.134)^2)^(1/3)).

FAQ

What is Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime?

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime formula is defined as Minimum Particle Size achieved when Fluidization in Reactor occurs and is represented as d'_p = d_p*(((ρ_gas*(ρ_solids-ρ_gas)*[g])/(μ_L)^2)^(1/3)) or Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3)). 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, Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure, 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 & Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.

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

Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime formula is defined as Minimum Particle Size achieved when Fluidization in Reactor occurs is calculated using Dimensionless Diameter = Diameter of Particle*(((Density of Gas*(Density of Solids-Density of Gas)*[g])/(Viscosity of Liquid)^2)^(1/3)). To calculate Dimensionless Diameter for Fluidized Reactors at G/S Contacting Regime, you need Diameter of Particle (d_p), Density of Gas (ρ_gas), Density of Solids (ρ_solids) & Viscosity of Liquid (μ_L). With our tool, you need to enter the respective value for Diameter of Particle, Density of Gas, Density of Solids & Viscosity of Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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