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

✖Velocity in Tube is the Velocity of the fluid throughout the pipe.ⓘ Velocity in Tube [u]			+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%
✖Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.ⓘ Viscosity of Liquid [μ_L]			+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%

✖the dimensionless velocity is a parameter used to characterize the flow behavior of the gas phase relative to the solid particles within the reactor.ⓘ Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime [u^']

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Formula

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Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime

Formula

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

Example

0.079993 = 0.765 m/s \cdot {(\frac{{1.225 kg/m³}^{2}}{0.134 Pa*s \cdot (1000 kg/m³ - 1.225 kg/m³) \cdot [g]})}^{\frac{1}{3}}

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

STEP 0: Pre-Calculation Summary

Formula Used

Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3)
u^' = u*((ρ_gas^2)/(μ_L*(ρ_solids-ρ_gas)*[g]))^(1/3)
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

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.
Velocity in Tube - (Measured in Meter per Second) - Velocity in Tube is the Velocity of the fluid throughout the pipe.
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.
Viscosity of Liquid - (Measured in Pascal Second) - Viscosity of Liquid is the measure of its resistance to flow when an external force is applied.
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.

STEP 1: Convert Input(s) to Base Unit

Velocity in Tube: 0.765 Meter per Second --> 0.765 Meter per Second No Conversion Required
Density of Gas: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Viscosity of Liquid: 0.134 Pascal Second --> 0.134 Pascal Second No Conversion Required
Density of Solids: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u^' = u*((ρ_gas^2)/(μ_L*(ρ_solids-ρ_gas)*[g]))^(1/3) --> 0.765*((1.225^2)/(0.134*(1000-1.225)*[g]))^(1/3)

Evaluating ... ...

u^' = 0.0799934538530838

STEP 3: Convert Result to Output's Unit

0.0799934538530838 --> No Conversion Required

FINAL ANSWER

0.0799934538530838 ≈ 0.079993 <-- Dimensionless Velocity

(Calculation completed in 00.020 seconds)

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< Various Fluidized Reactors Calculators

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))

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)

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)

Terminal Velocity of Fluid for Spherical Particles

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

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

Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3)
u^' = u*((ρ_gas^2)/(μ_L*(ρ_solids-ρ_gas)*[g]))^(1/3)

What is G/S Regime ?

The terms "G" and "S" potentially refer to gas and solid phases, respectively, occurs where the phases come into Equilibrium.

What are Fluidized Reactors ?

Fluidized bed reactors are a type of chemical reactor where a bed of solid particles is suspended and behaves like a fluid due to the upward flow of gas.

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

Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime calculator uses Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3) to calculate 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 calculate Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime using this online calculator? To use this online calculator 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. Here is how the Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime calculation can be explained with given input values -> 2.530512 = 0.765*((1.225^2)/(0.134*(1000-1.225)*[g]))^(1/3).

FAQ

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

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

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

The Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime formula is defined as Minimum Velocity achieved when Fluidization in Reactor occurs is calculated using Dimensionless Velocity = Velocity in Tube*((Density of Gas^2)/(Viscosity of Liquid*(Density of Solids-Density of Gas)*[g]))^(1/3). To calculate Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime, you need Velocity in Tube (u), Density of Gas (ρ_gas), Viscosity of Liquid (μ_L) & Density of Solids (ρ_solids). With our tool, you need to enter the respective value for Velocity in Tube, Density of Gas, Viscosity of Liquid & Density of Solids 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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