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Dispersion using Taylor Expression Formula Formula

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Dispersion Coefficient for Taylor Expression is distinguished as Spreading of the Tracer in the reactor, that diffuses across a unit area in 1 s under the influence of a gradient of one unit. Check FAQs

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

D_p - Dispersion Coefficient for Taylor Expression?u_T - Velocity of Pulse for Taylor Expression?d_Tube - Diameter of Tube?D_{f T} - Diffusion Coefficient for Taylor Dispersion?

Dispersion using Taylor Expression Formula Example

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Here is how the Dispersion using Taylor Expression Formula equation looks like with Values.

Here is how the Dispersion using Taylor Expression Formula equation looks like with Units.

Here is how the Dispersion using Taylor Expression Formula equation looks like.

368.8429 = \frac{{5.2}^{2} \cdot {0.971}^{2}}{192 \cdot 0.0004}

368.8429m²/s = \frac{{5.2m/s}^{2} \cdot {0.971m}^{2}}{192 \cdot 0.0004m²/s}

368.8429 = \frac{{5.2}^{2} \cdot {0.971}^{2}}{192 \cdot 0.0004}

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Dispersion using Taylor Expression Formula Solution

Follow our step by step solution on how to calculate Dispersion using Taylor Expression Formula?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D p = \frac{{5.2m/s}^{2} \cdot {0.971m}^{2}}{192 \cdot 0.0004m²/s}

Next Step Prepare to Evaluate

∴

D p = \frac{{5.2}^{2} \cdot {0.971}^{2}}{192 \cdot 0.0004}

Next Step Evaluate

∴

D p = 368.842891203704m²/s

LAST Step Rounding Answer

∴

D p = 368.8429m²/s

Dispersion using Taylor Expression Formula Formula Elements

Variables

Dispersion Coefficient for Taylor Expression

Dispersion Coefficient for Taylor Expression is distinguished as Spreading of the Tracer in the reactor, that diffuses across a unit area in 1 s under the influence of a gradient of one unit.

Symbol: D_p

Measurement: DiffusivityUnit: m²/s

Note: Value should be between 100 to 10000.

Formulas to find Dispersion Coefficient for Taylor Expression

Velocity of Pulse for Taylor Expression

Velocity of Pulse for Taylor Expression is the Velocity of the Tracer throughout the Reactor in the Taylor Regime.

Symbol: u_T

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Pulse for Taylor 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

Diffusion Coefficient for Taylor Dispersion

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

Symbol: D_{f T}

Measurement: DiffusivityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Diffusion Coefficient for Taylor Dispersion

Other formulas in Convection Model for Laminar Flow category

Go Dispersion using General Axis Expression

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

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 Taylor Expression Formula?

Dispersion using Taylor Expression Formula evaluator uses Dispersion Coefficient for Taylor Expression = (Velocity of Pulse for Taylor Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for Taylor Dispersion) to evaluate the Dispersion Coefficient for Taylor Expression, Dispersion using Taylor Expression formula is defined as Flow Models which are used in the situations, where the Bodenstein Number is less than 10^8 and Length vs Diameter of tube ratio is in range of 50-10^6. Dispersion Coefficient for Taylor Expression is denoted by D_p symbol.

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

FAQs on Dispersion using Taylor Expression Formula

What is the formula to find Dispersion using Taylor Expression Formula?

The formula of Dispersion using Taylor Expression Formula is expressed as Dispersion Coefficient for Taylor Expression = (Velocity of Pulse for Taylor Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for Taylor Dispersion). Here is an example- 0.151579 = (5.2^2*0.971^2)/(192*0.00036).

How to calculate Dispersion using Taylor Expression Formula?

With Velocity of Pulse for Taylor Expression (u_T), Diameter of Tube (d_Tube) & Diffusion Coefficient for Taylor Dispersion (D_{f T}) we can find Dispersion using Taylor Expression Formula using the formula - Dispersion Coefficient for Taylor Expression = (Velocity of Pulse for Taylor Expression^2*Diameter of Tube^2)/(192*Diffusion Coefficient for Taylor Dispersion).

Can the Dispersion using Taylor Expression Formula be negative?

No, the Dispersion using Taylor Expression Formula, measured in Diffusivity cannot be negative.

Which unit is used to measure Dispersion using Taylor Expression Formula?

Dispersion using Taylor Expression Formula 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 Taylor Expression Formula can be measured.

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Dispersion using Taylor Expression Formula Formula

Dispersion using Taylor Expression Formula Example

Dispersion using Taylor Expression Formula Solution

Dispersion using Taylor Expression Formula Formula Elements

Other formulas in Convection Model for Laminar Flow category

How to Evaluate Dispersion using Taylor Expression Formula?

FAQs on Dispersion using Taylor Expression Formula

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