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Velocity in Pneumatic Conveying Formula

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Velocity in Pneumatic Conveying refers to the Velocity in the Conveying Regimes. Check FAQs

u FF-PC = {((21.6 \cdot ({(\frac{G S}{ρ gas})}^{0.542}) \cdot ({d' p}^{0.315})) \cdot \sqrt{[g] \cdot d p})}^{\frac{1}{1.542}}

u_FF-PC - Velocity in Pneumatic Conveying?G_S - Gas Flow Rate?ρ_gas - Density of Gas?d'_p - Dimensionless Diameter?d_p - Diameter of Particle?[g] - Gravitational acceleration on Earth?

Velocity in Pneumatic Conveying Example

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Here is how the Velocity in Pneumatic Conveying equation looks like with Values.

Here is how the Velocity in Pneumatic Conveying equation looks like with Units.

Here is how the Velocity in Pneumatic Conveying equation looks like.

25.435 = {((21.6 \cdot ({(\frac{55}{1.225})}^{0.542}) \cdot ({3.2}^{0.315})) \cdot \sqrt{9.8066 \cdot 0.0367})}^{\frac{1}{1.542}}

25.435m/s = {((21.6 \cdot ({(\frac{55m³/s}{1.225kg/m³})}^{0.542}) \cdot ({3.2}^{0.315})) \cdot \sqrt{9.8066m/s² \cdot 0.0367m})}^{\frac{1}{1.542}}

25.435 = {((21.6 \cdot ({(\frac{55}{1.225})}^{0.542}) \cdot ({3.2}^{0.315})) \cdot \sqrt{9.8066 \cdot 0.0367})}^{\frac{1}{1.542}}

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Velocity in Pneumatic Conveying Solution

Follow our step by step solution on how to calculate Velocity in Pneumatic Conveying?

FIRST Step Consider the formula

u FF-PC = {((21.6 \cdot ({(\frac{G S}{ρ gas})}^{0.542}) \cdot ({d' p}^{0.315})) \cdot \sqrt{[g] \cdot d p})}^{\frac{1}{1.542}}

Next Step Substitute values of Variables

∴

u FF-PC = {((21.6 \cdot ({(\frac{55m³/s}{1.225kg/m³})}^{0.542}) \cdot ({3.2}^{0.315})) \cdot \sqrt{[g] \cdot 0.0367m})}^{\frac{1}{1.542}}

Next Step Substitute values of Constants

∴

u FF-PC = {((21.6 \cdot ({(\frac{55m³/s}{1.225kg/m³})}^{0.542}) \cdot ({3.2}^{0.315})) \cdot \sqrt{9.8066m/s² \cdot 0.0367m})}^{\frac{1}{1.542}}

Next Step Prepare to Evaluate

∴

u FF-PC = {((21.6 \cdot ({(\frac{55}{1.225})}^{0.542}) \cdot ({3.2}^{0.315})) \cdot \sqrt{9.8066 \cdot 0.0367})}^{\frac{1}{1.542}}

Next Step Evaluate

∴

u FF-PC = 25.435016550208m/s

LAST Step Rounding Answer

∴

u FF-PC = 25.435m/s

Velocity in Pneumatic Conveying Formula Elements

Variables

Constants

Functions

Velocity in Pneumatic Conveying

Velocity in Pneumatic Conveying refers to the Velocity in the Conveying Regimes.

Symbol: u_FF-PC

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity in Pneumatic Conveying

Gas Flow Rate

Gas Flow Rate is the Flow of the Gas into the Ractor.

Symbol: G_S

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Gas Flow Rate

Density of Gas

Density of Gas is defined as mass per unit volume of a gas under specific conditions of temperature and pressure.

Symbol: ρ_gas

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Gas

Dimensionless Diameter

The Dimensionless Diameter is a parameter used to characterize the size of solid particles relative to the flow conditions of the Gas Phase.

Symbol: d'_p

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dimensionless Diameter

Diameter of Particle

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.

Symbol: d_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Particle

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

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.

Syntax: sqrt(Number)

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 Velocity in Pneumatic Conveying?

Velocity in Pneumatic Conveying evaluator uses 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) to evaluate the Velocity in Pneumatic Conveying, The Velocity in Pneumatic Conveying formula is defined as the Velocity, typically expressed as the air or gas velocity at the Point of Injection or Introduction of the Solid Particles into the Conveying System. Velocity in Pneumatic Conveying is denoted by u_FF-PC symbol.

How to evaluate Velocity in Pneumatic Conveying using this online evaluator? To use this online evaluator for Velocity in Pneumatic Conveying, enter Gas Flow Rate (G_S), Density of Gas (ρ_gas), Dimensionless Diameter (d'_p) & Diameter of Particle (d_p) and hit the calculate button.

FAQs on Velocity in Pneumatic Conveying

What is the formula to find Velocity in Pneumatic Conveying?

The formula of Velocity in Pneumatic Conveying is expressed as 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). Here is an example- 25.43502 = ((21.6*((55/1.225)^0.542)*(3.2^0.315))*sqrt([g]*0.0367))^(1/1.542).

How to calculate Velocity in Pneumatic Conveying?

With Gas Flow Rate (G_S), Density of Gas (ρ_gas), Dimensionless Diameter (d'_p) & Diameter of Particle (d_p) we can find Velocity in Pneumatic Conveying using the formula - 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). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

Can the Velocity in Pneumatic Conveying be negative?

No, the Velocity in Pneumatic Conveying, measured in Speed cannot be negative.

Which unit is used to measure Velocity in Pneumatic Conveying?

Velocity in Pneumatic Conveying is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity in Pneumatic Conveying can be measured.

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Velocity in Pneumatic Conveying Formula

Velocity in Pneumatic Conveying Example

Velocity in Pneumatic Conveying Solution

Velocity in Pneumatic Conveying Formula Elements

Other formulas in Various Fluidized Reactors category

How to Evaluate Velocity in Pneumatic Conveying?

FAQs on Velocity in Pneumatic Conveying

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