Rate Constant of Phase between Cloud-Wake and Emulsion Calculator

✖Void Fraction at Minimum Fluidization is the Fraction of Void Space present in the Packed Bed Reactor.ⓘ Void Fraction at Minimum Fluidization [ε_mf]			+10% -10%
✖Diffusion Coefficient for Fluidized Reactors is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow, in the Fluidized Reactors.ⓘ Diffusion Coefficient for Fluidized Reactors [D_{f R}]			+10% -10%
✖Rise Velocity of Bubble is the Velocity of Bubble when Rising, at Mininmum Fluidizing Conditions.ⓘ Rise Velocity of Bubble [u_br]			+10% -10%
✖Diameter of Bubble is the Bubble Diameter passing through Fluid.ⓘ Diameter of Bubble [d_b]			+10% -10%

✖Rate Constant for Cloud-Wake and Emulsion is Calculated when there is an interchange of Phase from Liquid to Gas, at Kunii- Levenspiel Model.ⓘ Rate Constant of Phase between Cloud-Wake and Emulsion [K_ce]

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Rate Constant of Phase between Cloud-Wake and Emulsion

Formula

`"K"_{"ce"} = 6.77*(("ε"_{"mf"}*"D"_{"f R"}*"u"_{"br"})/"d"_{"b"}^3)^(1/2)`

Example

`"189.3051s⁻¹"=6.77*(("0.21"*"0.8761m²/s"*"0.47m/s")/("0.048m")^3)^(1/2)`

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Rate Constant of Phase between Cloud-Wake and Emulsion Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
K_ce = 6.77*((ε_mf*D_{f R}*u_br)/d_b^3)^(1/2)
This formula uses 5 Variables

Variables Used

Rate Constant for Cloud-Wake and Emulsion - (Measured in 1 Per Second) - Rate Constant for Cloud-Wake and Emulsion is Calculated when there is an interchange of Phase from Liquid to Gas, at Kunii- Levenspiel Model.
Void Fraction at Minimum Fluidization - Void Fraction at Minimum Fluidization is the Fraction of Void Space present in the Packed Bed Reactor.
Diffusion Coefficient for Fluidized Reactors - (Measured in Square Meter Per Second) - Diffusion Coefficient for Fluidized Reactors is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow, in the Fluidized Reactors.
Rise Velocity of Bubble - (Measured in Meter per Second) - Rise Velocity of Bubble is the Velocity of Bubble when Rising, at Mininmum Fluidizing Conditions.
Diameter of Bubble - (Measured in Meter) - Diameter of Bubble is the Bubble Diameter passing through Fluid.

STEP 1: Convert Input(s) to Base Unit

Void Fraction at Minimum Fluidization: 0.21 --> No Conversion Required
Diffusion Coefficient for Fluidized Reactors: 0.8761 Square Meter Per Second --> 0.8761 Square Meter Per Second No Conversion Required
Rise Velocity of Bubble: 0.47 Meter per Second --> 0.47 Meter per Second No Conversion Required
Diameter of Bubble: 0.048 Meter --> 0.048 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_ce = 6.77*((ε_mf*D_{f R}*u_br)/d_b^3)^(1/2) --> 6.77*((0.21*0.8761*0.47)/0.048^3)^(1/2)

Evaluating ... ...

K_ce = 189.30506287614

STEP 3: Convert Result to Output's Unit

189.30506287614 1 Per Second --> No Conversion Required

FINAL ANSWER

189.30506287614 ≈ 189.3051 1 Per Second <-- Rate Constant for Cloud-Wake and Emulsion

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Chemical Reaction Engineering » Reactions Catalyzed by Solids » Various Fluidized Reactors » Rate Constant of Phase between Cloud-Wake and Emulsion

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Created by Pavan Kumar

Anurag Group of Institutions (AGI), Hyderabad

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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)

Rate Constant of Phase between Cloud-Wake and Emulsion Formula

What is Cloud, Wake and Emulsion ?

The Cloud phase occurs when the upward gas velocity is increased beyond a certain point. Wake refers to the region of disturbed flow that forms behind a solid particle as it moves through the fluidized bed. Emulsion refers to a state where the solid particles are dispersed in the fluidizing medium in a finely divided form, creating a suspension, in the Kunii- Levenspiel Model

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 Rate Constant of Phase between Cloud-Wake and Emulsion?

Rate Constant of Phase between Cloud-Wake and Emulsion calculator uses 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) to calculate the Rate Constant for Cloud-Wake and Emulsion, The Rate Constant of Phase between Cloud-Wake and Emulsion formula is defined as Rate Constant Calculated, when Bubbling occurs at the Interphase, in the Fluidized Reactor at Kunii- Levenspiel Model. Rate Constant for Cloud-Wake and Emulsion is denoted by K_ce symbol.

How to calculate Rate Constant of Phase between Cloud-Wake and Emulsion using this online calculator? To use this online calculator for Rate Constant of Phase between Cloud-Wake and Emulsion, enter Void Fraction at Minimum Fluidization (ε_mf), Diffusion Coefficient for Fluidized Reactors (D_{f R}), Rise Velocity of Bubble (u_br) & Diameter of Bubble (d_b) and hit the calculate button. Here is how the Rate Constant of Phase between Cloud-Wake and Emulsion calculation can be explained with given input values -> 189.2943 = 6.77*((0.21*0.8761*0.47)/0.048^3)^(1/2).

FAQ

What is Rate Constant of Phase between Cloud-Wake and Emulsion?

The Rate Constant of Phase between Cloud-Wake and Emulsion formula is defined as Rate Constant Calculated, when Bubbling occurs at the Interphase, in the Fluidized Reactor at Kunii- Levenspiel Model and is represented as K_ce = 6.77*((ε_mf*D_{f R}*u_br)/d_b^3)^(1/2) or 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). Void Fraction at Minimum Fluidization is the Fraction of Void Space present in the Packed Bed Reactor, Diffusion Coefficient for Fluidized Reactors is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow, in the Fluidized Reactors, Rise Velocity of Bubble is the Velocity of Bubble when Rising, at Mininmum Fluidizing Conditions & Diameter of Bubble is the Bubble Diameter passing through Fluid.

How to calculate Rate Constant of Phase between Cloud-Wake and Emulsion?

The Rate Constant of Phase between Cloud-Wake and Emulsion formula is defined as Rate Constant Calculated, when Bubbling occurs at the Interphase, in the Fluidized Reactor at Kunii- Levenspiel Model is calculated using 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). To calculate Rate Constant of Phase between Cloud-Wake and Emulsion, you need Void Fraction at Minimum Fluidization (ε_mf), Diffusion Coefficient for Fluidized Reactors (D_{f R}), Rise Velocity of Bubble (u_br) & Diameter of Bubble (d_b). With our tool, you need to enter the respective value for Void Fraction at Minimum Fluidization, Diffusion Coefficient for Fluidized Reactors, Rise Velocity of Bubble & Diameter of Bubble 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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