Velocity in Fast Fluidized Bed Calculator

✖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%
✖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%
✖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%

✖Velocity in Turbulent Fast Fluidized Bed is the Velocity attained at FF bed.ⓘ Velocity in Fast Fluidized Bed [u_TB-FF]

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Formula

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Velocity in Fast Fluidized Bed

Formula

`"u"_{"TB-FF"} = 1.53*sqrt((("ρ"_{"solids"}-"ρ"_{"gas"})*"[g]"*"d"_{"p"})/"ρ"_{"gas"})`

Example

`"26.20901m/s"=1.53*sqrt((("1000kg/m³"-"1.225kg/m³")*"[g]"*"0.0367m")/"1.225kg/m³")`

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Velocity in Fast Fluidized Bed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity in Turbulent Fast Fluidized Bed = 1.53*sqrt(((Density of Solids-Density of Gas)*[g]*Diameter of Particle)/Density of Gas)
u_TB-FF = 1.53*sqrt(((ρ_solids-ρ_gas)*[g]*d_p)/ρ_gas)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Velocity in Turbulent Fast Fluidized Bed - (Measured in Meter per Second) - Velocity in Turbulent Fast Fluidized Bed is the Velocity attained at FF bed.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Density of Solids: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Density of Gas: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Diameter of Particle: 0.0367 Meter --> 0.0367 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

u_TB-FF = 1.53*sqrt(((ρ_solids-ρ_gas)*[g]*d_p)/ρ_gas) --> 1.53*sqrt(((1000-1.225)*[g]*0.0367)/1.225)

Evaluating ... ...

u_TB-FF = 26.2090082750284

STEP 3: Convert Result to Output's Unit

26.2090082750284 Meter per Second --> No Conversion Required

FINAL ANSWER

26.2090082750284 ≈ 26.20901 Meter per Second <-- Velocity in Turbulent Fast Fluidized Bed

(Calculation completed in 00.004 seconds)

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Anurag Group of Institutions (AGI), Hyderabad

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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)

Velocity in Fast Fluidized Bed Formula

Velocity in Turbulent Fast Fluidized Bed = 1.53*sqrt(((Density of Solids-Density of Gas)*[g]*Diameter of Particle)/Density of Gas)
u_TB-FF = 1.53*sqrt(((ρ_solids-ρ_gas)*[g]*d_p)/ρ_gas)

What is Fast Fluidized Bed ?

A fast fluidized bed is a type of fluidized bed reactor characterized by high gas velocities and a high degree of fluidization. In fluidized bed reactors, a bed of solid particles is suspended and behaves like a fluid when a gas flows through it.

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 Velocity in Fast Fluidized Bed?

Velocity in Fast Fluidized Bed calculator uses Velocity in Turbulent Fast Fluidized Bed = 1.53*sqrt(((Density of Solids-Density of Gas)*[g]*Diameter of Particle)/Density of Gas) to calculate the Velocity in Turbulent Fast Fluidized Bed, The Velocity in Fast Fluidized Bed formula refers to the upward velocity of the fluidizing gas that is used to suspend and fluidize solid particles within the bed. Fast fluidized beds are characterized by high gas velocities, and these velocities are typically significantly greater than the minimum fluidization velocity. Velocity in Turbulent Fast Fluidized Bed is denoted by u_TB-FF symbol.

How to calculate Velocity in Fast Fluidized Bed using this online calculator? To use this online calculator for Velocity in Fast Fluidized Bed, enter Density of Solids (ρ_solids), Density of Gas (ρ_gas) & Diameter of Particle (d_p) and hit the calculate button. Here is how the Velocity in Fast Fluidized Bed calculation can be explained with given input values -> 26.20901 = 1.53*sqrt(((1000-1.225)*[g]*0.0367)/1.225).

FAQ

What is Velocity in Fast Fluidized Bed?

The Velocity in Fast Fluidized Bed formula refers to the upward velocity of the fluidizing gas that is used to suspend and fluidize solid particles within the bed. Fast fluidized beds are characterized by high gas velocities, and these velocities are typically significantly greater than the minimum fluidization velocity and is represented as u_TB-FF = 1.53*sqrt(((ρ_solids-ρ_gas)*[g]*d_p)/ρ_gas) or Velocity in Turbulent Fast Fluidized Bed = 1.53*sqrt(((Density of Solids-Density of Gas)*[g]*Diameter of Particle)/Density of Gas). 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 Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure & 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.

How to calculate Velocity in Fast Fluidized Bed?

The Velocity in Fast Fluidized Bed formula refers to the upward velocity of the fluidizing gas that is used to suspend and fluidize solid particles within the bed. Fast fluidized beds are characterized by high gas velocities, and these velocities are typically significantly greater than the minimum fluidization velocity is calculated using Velocity in Turbulent Fast Fluidized Bed = 1.53*sqrt(((Density of Solids-Density of Gas)*[g]*Diameter of Particle)/Density of Gas). To calculate Velocity in Fast Fluidized Bed, you need Density of Solids (ρ_solids), Density of Gas (ρ_gas) & Diameter of Particle (d_p). With our tool, you need to enter the respective value for Density of Solids, Density of Gas & Diameter of Particle 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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