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Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Formula

GoColumn Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula

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Column Diameter refers to the diameter of the column wherein the mass transfer or any other unit operations takes place. Check FAQs

D c = {(\frac{4 \cdot V W}{π \cdot W max})}^{\frac{1}{2}}

D_c - Column Diameter?V_W - Vapor Mass Flowrate?W_max - Maximum Allowable Mass Velocity?π - Archimedes' constant?

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Example

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Here is how the Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor equation looks like with Values.

Here is how the Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor equation looks like with Units.

Here is how the Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor equation looks like.

0.3393 = {(\frac{4 \cdot 4.157}{3.1416 \cdot 45.9715})}^{\frac{1}{2}}

0.3393m = {(\frac{4 \cdot 4.157kg/s}{3.1416 \cdot 45.9715kg/s/m²})}^{\frac{1}{2}}

0.3393 = {(\frac{4 \cdot 4.157}{3.1416 \cdot 45.9715})}^{\frac{1}{2}}

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Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Solution

Follow our step by step solution on how to calculate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

FIRST Step Consider the formula

D c = {(\frac{4 \cdot V W}{π \cdot W max})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

D c = {(\frac{4 \cdot 4.157kg/s}{π \cdot 45.9715kg/s/m²})}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

D c = {(\frac{4 \cdot 4.157kg/s}{3.1416 \cdot 45.9715kg/s/m²})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

D c = {(\frac{4 \cdot 4.157}{3.1416 \cdot 45.9715})}^{\frac{1}{2}}

Next Step Evaluate

∴

D c = 0.339313183870114m

LAST Step Rounding Answer

∴

D c = 0.3393m

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Formula Elements

Variables

Constants

Column Diameter

Column Diameter refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.

Symbol: D_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Column Diameter

Vapor Mass Flowrate

Vapor Mass Flowrate is the mass flow rate of vapor component in column.

Symbol: V_W

Measurement: Mass Flow RateUnit: kg/s

Note: Value should be greater than 0.

Formulas to find Vapor Mass Flowrate

Maximum Allowable Mass Velocity

Maximum Allowable Mass Velocity is a measure of the mass of fluid passing through a unit cross-sectional area per unit time.

Symbol: W_max

Measurement: Mass FluxUnit: kg/s/m²

Note: Value should be greater than 0.

Formulas to find Maximum Allowable Mass Velocity

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Column Diameter

Go Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

D c = \sqrt{\frac{4 \cdot V W}{π \cdot ρ V \cdot U v}}

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Go Clearance Area under Downcomer given Weir Length and Apron Height

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A a = \frac{G v}{f d \cdot u f}

Go Downcomer Residence Time in Distillation Column

t r = \frac{A d \cdot h bc \cdot ρ L}{L w}

Go Flooding Velocity in Distillation Column Design

u f = K 1 \cdot {(\frac{ρ L - ρ V}{ρ V})}^{0.5}

How to Evaluate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor evaluator uses Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2) to evaluate the Column Diameter, The Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor formula refers to the numeric value of the diameter that can be achieved for a distillation column at the maximum Vapor Mass flowrate. Column Diameter is denoted by D_c symbol.

How to evaluate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor using this online evaluator? To use this online evaluator for Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor, enter Vapor Mass Flowrate (V_W) & Maximum Allowable Mass Velocity (W_max) and hit the calculate button.

FAQs on Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

What is the formula to find Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

The formula of Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor is expressed as Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2). Here is an example- 0.339313 = ((4*4.157)/(pi*45.9715))^(1/2).

How to calculate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

With Vapor Mass Flowrate (V_W) & Maximum Allowable Mass Velocity (W_max) we can find Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor using the formula - Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2). This formula also uses Archimedes' constant .

What are the other ways to Calculate Column Diameter?

Here are the different ways to Calculate Column Diameter-

Column Diameter=sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity))

Can the Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor be negative?

No, the Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor, measured in Length cannot be negative.

Which unit is used to measure Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor can be measured.

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Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Formula

​GoColumn Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Example

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Solution

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Formula Elements

Other Formulas to find Column Diameter

Other formulas in Distillation Tower Design category

How to Evaluate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

FAQs on Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

Variable Name

GoColumn Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula