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Dispersion using General Axis Expression Formula

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Dispersion Coefficient for General Axis Expression is distinguished as Spreading of the Tracer in the reactor, that diffuses across a unit area in 1 s, for General Axis Regime. Check FAQs

D p G = D f G + \frac{{u G}^{2} \cdot {d Tube}^{2}}{192 \cdot D f G}

D_{p G} - Dispersion Coefficient for General Axis Expression?D_{f G} - Diffusion Coefficient for General Axis Dispersion?u_G - Velocity of Pulse for General Axis Expression?d_Tube - Diameter of Tube?

Dispersion using General Axis Expression Example

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Here is how the Dispersion using General Axis Expression equation looks like with Values.

Here is how the Dispersion using General Axis Expression equation looks like with Units.

Here is how the Dispersion using General Axis Expression equation looks like.

0.8702 = 0.87 + \frac{{0.2}^{2} \cdot {0.971}^{2}}{192 \cdot 0.87}

0.8702m²/s = 0.87m²/s + \frac{{0.2m/s}^{2} \cdot {0.971m}^{2}}{192 \cdot 0.87m²/s}

0.8702 = 0.87 + \frac{{0.2}^{2} \cdot {0.971}^{2}}{192 \cdot 0.87}

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Dispersion using General Axis Expression Solution

Follow our step by step solution on how to calculate Dispersion using General Axis Expression?

FIRST Step Consider the formula

D p G = D f G + \frac{{u G}^{2} \cdot {d Tube}^{2}}{192 \cdot D f G}

Next Step Substitute values of Variables

∴

D p G = 0.87m²/s + \frac{{0.2m/s}^{2} \cdot {0.971m}^{2}}{192 \cdot 0.87m²/s}

Next Step Prepare to Evaluate

∴

D p G = 0.87 + \frac{{0.2}^{2} \cdot {0.971}^{2}}{192 \cdot 0.87}

Next Step Evaluate

∴

D p G = 0.870225776101533m²/s

LAST Step Rounding Answer

∴

D p G = 0.8702m²/s

Dispersion using General Axis Expression Formula Elements

Variables

Dispersion Coefficient for General Axis Expression

Dispersion Coefficient for General Axis Expression is distinguished as Spreading of the Tracer in the reactor, that diffuses across a unit area in 1 s, for General Axis Regime.

Symbol: D_{p G}

Measurement: DiffusivityUnit: m²/s

Note: Value should be between 1E-06 to 1.

Formulas to find Dispersion Coefficient for General Axis Expression

Diffusion Coefficient for General Axis Dispersion

Diffusion Coefficient for General Axis Dispersion is Diffusion of respective Fluid into the Stream, where the fluid is subjected to flow.

Symbol: D_{f G}

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient for General Axis Dispersion

Velocity of Pulse for General Axis Expression

Velocity of Pulse for General Axis Expression is the Velocity of the Tracer throughout the Reactor, in General Axis Regime.

Symbol: u_G

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Pulse for General Axis Expression

Diameter of Tube

Diameter of Tube is the Outer Diameter of the Tube, where the Fluid is subjected to flow through it.

Symbol: d_Tube

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Tube

Other formulas in Convection Model for Laminar Flow category

Go Dispersion using Taylor Expression Formula

D p = \frac{{u T}^{2} \cdot {d Tube}^{2}}{192 \cdot D f T}

Go Bodenstein Number

Bo = \frac{u fluid \cdot d Tube}{D f}

Go F Curve for Laminar Flow in Pipes for Proper RTD

F = 1 - (\frac{1}{4 \cdot θ^{2}})

Go F Curve for Laminar Flow in Pipes for Improper RTD

F = 1 - \frac{1}{2 \cdot θ}

How to Evaluate Dispersion using General Axis Expression?

Dispersion using General Axis Expression evaluator uses Dispersion Coefficient for General Axis Expression = Diffusion Coefficient for General Axis Dispersion+(Velocity of Pulse for General Axis Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for General Axis Dispersion) to evaluate the Dispersion Coefficient for General Axis Expression, Dispersion using General Axis Expression formula is defined as Flow Models which are used in the situations, where the Bodenstein Number ranges between 10^-2 to 1 and Length vs Diameter of tube ratio is in range of 10^3-10^6, which considers both convective transport and axial diffusion. Dispersion Coefficient for General Axis Expression is denoted by D_{p G} symbol.

How to evaluate Dispersion using General Axis Expression using this online evaluator? To use this online evaluator for Dispersion using General Axis Expression, enter Diffusion Coefficient for General Axis Dispersion (D_{f G}), Velocity of Pulse for General Axis Expression (u_G) & Diameter of Tube (d_Tube) and hit the calculate button.

FAQs on Dispersion using General Axis Expression

What is the formula to find Dispersion using General Axis Expression?

The formula of Dispersion using General Axis Expression is expressed as Dispersion Coefficient for General Axis Expression = Diffusion Coefficient for General Axis Dispersion+(Velocity of Pulse for General Axis Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for General Axis Dispersion). Here is an example- 0.876224 = 0.87+(0.2^2*0.971^2)/(192*0.87).

How to calculate Dispersion using General Axis Expression?

With Diffusion Coefficient for General Axis Dispersion (D_{f G}), Velocity of Pulse for General Axis Expression (u_G) & Diameter of Tube (d_Tube) we can find Dispersion using General Axis Expression using the formula - Dispersion Coefficient for General Axis Expression = Diffusion Coefficient for General Axis Dispersion+(Velocity of Pulse for General Axis Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for General Axis Dispersion).

Can the Dispersion using General Axis Expression be negative?

No, the Dispersion using General Axis Expression, measured in Diffusivity cannot be negative.

Which unit is used to measure Dispersion using General Axis Expression?

Dispersion using General Axis Expression is usually measured using the Square Meter Per Second[m²/s] for Diffusivity. Square Centimeter Per Second[m²/s], Square Millimeter per Second[m²/s] are the few other units in which Dispersion using General Axis Expression can be measured.

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Dispersion using General Axis Expression Formula

Dispersion using General Axis Expression Example

Dispersion using General Axis Expression Solution

Dispersion using General Axis Expression Formula Elements

Other formulas in Convection Model for Laminar Flow category

How to Evaluate Dispersion using General Axis Expression?

FAQs on Dispersion using General Axis Expression

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