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Rate Constant of Phase between Bubble and Cloud Formula

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Rate Constant for Bubble Cloud Circulation is Calculated when there is an interchange of Phase from Liquid to Gas. Check FAQs

K bc = 4.50 \cdot (\frac{u mf}{d b}) + 5.85 \cdot \frac{{(D f R)}^{\frac{1}{2}} \cdot {([g])}^{\frac{1}{4}}}{{d b}^{\frac{5}{4}}}

K_bc - Rate Constant for Bubble Cloud Circulation?u_mf - Minimum Fluidization Velocity?d_b - Diameter of Bubble?D_{f R} - Diffusion Coefficient for Fluidized Reactors?[g] - Gravitational acceleration on Earth?

Rate Constant of Phase between Bubble and Cloud Example

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

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

Here is how the Rate Constant of Phase between Bubble and Cloud equation looks like.

613.2507 = 4.50 \cdot (\frac{1.941}{0.048}) + 5.85 \cdot \frac{{(0.8761)}^{\frac{1}{2}} \cdot {(9.8066)}^{\frac{1}{4}}}{{0.048}^{\frac{5}{4}}}

613.2507s⁻¹ = 4.50 \cdot (\frac{1.941m/s}{0.048m}) + 5.85 \cdot \frac{{(0.8761m²/s)}^{\frac{1}{2}} \cdot {(9.8066m/s²)}^{\frac{1}{4}}}{{0.048m}^{\frac{5}{4}}}

613.2507 = 4.50 \cdot (\frac{1.941}{0.048}) + 5.85 \cdot \frac{{(0.8761)}^{\frac{1}{2}} \cdot {(9.8066)}^{\frac{1}{4}}}{{0.048}^{\frac{5}{4}}}

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Rate Constant of Phase between Bubble and Cloud Solution

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

FIRST Step Consider the formula

K bc = 4.50 \cdot (\frac{u mf}{d b}) + 5.85 \cdot \frac{{(D f R)}^{\frac{1}{2}} \cdot {([g])}^{\frac{1}{4}}}{{d b}^{\frac{5}{4}}}

Next Step Substitute values of Variables

∴

K bc = 4.50 \cdot (\frac{1.941m/s}{0.048m}) + 5.85 \cdot \frac{{(0.8761m²/s)}^{\frac{1}{2}} \cdot {([g])}^{\frac{1}{4}}}{{0.048m}^{\frac{5}{4}}}

Next Step Substitute values of Constants

∴

K bc = 4.50 \cdot (\frac{1.941m/s}{0.048m}) + 5.85 \cdot \frac{{(0.8761m²/s)}^{\frac{1}{2}} \cdot {(9.8066m/s²)}^{\frac{1}{4}}}{{0.048m}^{\frac{5}{4}}}

Next Step Prepare to Evaluate

∴

K bc = 4.50 \cdot (\frac{1.941}{0.048}) + 5.85 \cdot \frac{{(0.8761)}^{\frac{1}{2}} \cdot {(9.8066)}^{\frac{1}{4}}}{{0.048}^{\frac{5}{4}}}

Next Step Evaluate

∴

K bc = 613.250745659295s⁻¹

LAST Step Rounding Answer

∴

K bc = 613.2507s⁻¹

Rate Constant of Phase between Bubble and Cloud Formula Elements

Variables

Constants

Rate Constant for Bubble Cloud Circulation

Rate Constant for Bubble Cloud Circulation is Calculated when there is an interchange of Phase from Liquid to Gas.

Symbol: K_bc

Measurement: First Order Reaction Rate ConstantUnit: s⁻¹

Note: Value should be greater than 0.

Formulas to find Rate Constant for Bubble Cloud Circulation

Minimum Fluidization Velocity

Minimum Fluidization Velocity is the Velocity of the Fluid in the Reactor when the pressure drop exceeds the weight of solids.

Symbol: u_mf

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Minimum Fluidization Velocity

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

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Bubble and Cloud?

Rate Constant of Phase between Bubble and Cloud evaluator uses 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) to evaluate the Rate Constant for Bubble Cloud Circulation, Rate Constant of Phase between Bubble and Cloud formula is defined as Rate Constant Calculated, when Bubbling occurs in the Fluidized Reactor. Rate Constant for Bubble Cloud Circulation is denoted by K_bc symbol.

How to evaluate Rate Constant of Phase between Bubble and Cloud using this online evaluator? To use this online evaluator for Rate Constant of Phase between Bubble and Cloud, enter Minimum Fluidization Velocity (u_mf), Diameter of Bubble (d_b) & Diffusion Coefficient for Fluidized Reactors (D_{f R}) and hit the calculate button.

FAQs on Rate Constant of Phase between Bubble and Cloud

What is the formula to find Rate Constant of Phase between Bubble and Cloud?

The formula of Rate Constant of Phase between Bubble and Cloud is expressed as 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). Here is an example- 613.2261 = 4.50*(1.941/0.048)+5.85*((0.8761)^(1/2)*([g])^(1/4))/0.048^(5/4).

How to calculate Rate Constant of Phase between Bubble and Cloud?

With Minimum Fluidization Velocity (u_mf), Diameter of Bubble (d_b) & Diffusion Coefficient for Fluidized Reactors (D_{f R}) we can find Rate Constant of Phase between Bubble and Cloud using the formula - 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). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Rate Constant of Phase between Bubble and Cloud be negative?

No, the Rate Constant of Phase between Bubble and Cloud, measured in First Order Reaction Rate Constant cannot be negative.

Which unit is used to measure Rate Constant of Phase between Bubble and Cloud?

Rate Constant of Phase between Bubble and Cloud 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 Bubble and Cloud can be measured.

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Rate Constant of Phase between Bubble and Cloud Formula

Rate Constant of Phase between Bubble and Cloud Example

Rate Constant of Phase between Bubble and Cloud Solution

Rate Constant of Phase between Bubble and Cloud Formula Elements

Other formulas in Various Fluidized Reactors category

How to Evaluate Rate Constant of Phase between Bubble and Cloud?

FAQs on Rate Constant of Phase between Bubble and Cloud

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