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Rate Constant of Phase between Cloud-Wake and Emulsion Formula

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Rate Constant for Cloud-Wake and Emulsion is Calculated when there is an interchange of Phase from Liquid to Gas, at Kunii- Levenspiel Model. Check FAQs

K ce = 6.77 \cdot {(\frac{ε mf \cdot D f R \cdot u br}{{d b}^{3}})}^{\frac{1}{2}}

K_ce - Rate Constant for Cloud-Wake and Emulsion?ε_mf - Void Fraction at Minimum Fluidization?D_{f R} - Diffusion Coefficient for Fluidized Reactors?u_br - Rise Velocity of Bubble?d_b - Diameter of Bubble?

Rate Constant of Phase between Cloud-Wake and Emulsion Example

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Here is how the Rate Constant of Phase between Cloud-Wake and Emulsion equation looks like with Values.

Here is how the Rate Constant of Phase between Cloud-Wake and Emulsion equation looks like with Units.

Here is how the Rate Constant of Phase between Cloud-Wake and Emulsion equation looks like.

189.3051 = 6.77 \cdot {(\frac{0.21 \cdot 0.8761 \cdot 0.47}{{0.048}^{3}})}^{\frac{1}{2}}

189.3051s⁻¹ = 6.77 \cdot {(\frac{0.21 \cdot 0.8761m²/s \cdot 0.47m/s}{{0.048m}^{3}})}^{\frac{1}{2}}

189.3051 = 6.77 \cdot {(\frac{0.21 \cdot 0.8761 \cdot 0.47}{{0.048}^{3}})}^{\frac{1}{2}}

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Rate Constant of Phase between Cloud-Wake and Emulsion Solution

Follow our step by step solution on how to calculate Rate Constant of Phase between Cloud-Wake and Emulsion?

FIRST Step Consider the formula

K ce = 6.77 \cdot {(\frac{ε mf \cdot D f R \cdot u br}{{d b}^{3}})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

K ce = 6.77 \cdot {(\frac{0.21 \cdot 0.8761m²/s \cdot 0.47m/s}{{0.048m}^{3}})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

K ce = 6.77 \cdot {(\frac{0.21 \cdot 0.8761 \cdot 0.47}{{0.048}^{3}})}^{\frac{1}{2}}

Next Step Evaluate

∴

K ce = 189.30506287614s⁻¹

LAST Step Rounding Answer

∴

K ce = 189.3051s⁻¹

Rate Constant of Phase between Cloud-Wake and Emulsion Formula Elements

Variables

Rate Constant for Cloud-Wake and Emulsion

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

Symbol: K_ce

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value can be positive or negative.

Formulas to find Rate Constant for Cloud-Wake and Emulsion

Void Fraction at Minimum Fluidization

Void Fraction at Minimum Fluidization is the Fraction of Void Space present in the Packed Bed Reactor.

Symbol: ε_mf

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Void Fraction at Minimum Fluidization

Diffusion Coefficient for Fluidized Reactors

Diffusion Coefficient for Fluidized Reactors is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow, in the Fluidized Reactors.

Symbol: D_{f R}

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient for Fluidized Reactors

Rise Velocity of Bubble

Rise Velocity of Bubble is the Velocity of Bubble when Rising, at Mininmum Fluidizing Conditions.

Symbol: u_br

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Rise Velocity of Bubble

Diameter of Bubble

Diameter of Bubble is the Bubble Diameter passing through Fluid.

Symbol: d_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Bubble

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 Dimensionless Velocity for Fluidized Reactors at G/S Contacting Regime

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

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

Rate Constant of Phase between Cloud-Wake and Emulsion evaluator 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 evaluate 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 evaluate Rate Constant of Phase between Cloud-Wake and Emulsion using this online evaluator? To use this online evaluator 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.

FAQs on Rate Constant of Phase between Cloud-Wake and Emulsion

What is the formula to find Rate Constant of Phase between Cloud-Wake and Emulsion?

The formula of Rate Constant of Phase between Cloud-Wake and Emulsion is expressed as 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). Here is an example- 189.2943 = 6.77*((0.21*0.8761*0.47)/0.048^3)^(1/2).

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

With 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) we can find Rate Constant of Phase between Cloud-Wake and Emulsion using the formula - 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).

Can the Rate Constant of Phase between Cloud-Wake and Emulsion be negative?

Yes, the Rate Constant of Phase between Cloud-Wake and Emulsion, measured in First Order Reaction Rate Constant can be negative.

Which unit is used to measure Rate Constant of Phase between Cloud-Wake and Emulsion?

Rate Constant of Phase between Cloud-Wake and Emulsion is usually measured using the 1 Per Second[s⁻¹] for First Order Reaction Rate Constant. 1 Per Millisecond[s⁻¹], 1 Per Day[s⁻¹], 1 Per Hour[s⁻¹] are the few other units in which Rate Constant of Phase between Cloud-Wake and Emulsion can be measured.

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Rate Constant of Phase between Cloud-Wake and Emulsion Formula

Rate Constant of Phase between Cloud-Wake and Emulsion Example

Rate Constant of Phase between Cloud-Wake and Emulsion Solution

Rate Constant of Phase between Cloud-Wake and Emulsion Formula Elements

Other formulas in Various Fluidized Reactors category

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

FAQs on Rate Constant of Phase between Cloud-Wake and Emulsion

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