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Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula

GoColumn Diameter Based on Vapor Flowrate and Mass Velocity of Vapor 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 = \sqrt{\frac{4 \cdot V W}{π \cdot ρ V \cdot U v}}

D_c - Column Diameter?V_W - Vapor Mass Flowrate?ρ_V - Vapor Density in Distillation?U_v - Maximum Allowable Vapor Velocity?π - Archimedes' constant?

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Example

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Here is how the Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity equation looks like with Values.

Here is how the Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity equation looks like with Units.

Here is how the Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity equation looks like.

1.6555 = \sqrt{\frac{4 \cdot 4.157}{3.1416 \cdot 1.71 \cdot 1.1293}}

1.6555m = \sqrt{\frac{4 \cdot 4.157kg/s}{3.1416 \cdot 1.71kg/m³ \cdot 1.1293m/s}}

1.6555 = \sqrt{\frac{4 \cdot 4.157}{3.1416 \cdot 1.71 \cdot 1.1293}}

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Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Solution

Follow our step by step solution on how to calculate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D c = \sqrt{\frac{4 \cdot 4.157kg/s}{π \cdot 1.71kg/m³ \cdot 1.1293m/s}}

Next Step Substitute values of Constants

∴

D c = \sqrt{\frac{4 \cdot 4.157kg/s}{3.1416 \cdot 1.71kg/m³ \cdot 1.1293m/s}}

Next Step Prepare to Evaluate

∴

D c = \sqrt{\frac{4 \cdot 4.157}{3.1416 \cdot 1.71 \cdot 1.1293}}

Next Step Evaluate

∴

D c = 1.65553201910082m

LAST Step Rounding Answer

∴

D c = 1.6555m

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula Elements

Variables

Constants

Functions

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

Vapor Density in Distillation

Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.

Symbol: ρ_V

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Vapor Density in Distillation

Maximum Allowable Vapor Velocity

Maximum Allowable Vapor Velocity is a critical velocity of the vapor component that can be operated in a distillation column.

Symbol: U_v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Maximum Allowable Vapor 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

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 to find Column Diameter

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

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

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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 given Maximum Vapor Rate and Maximum Vapor Velocity?

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity evaluator uses Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity)) to evaluate the Column Diameter, The Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity formula is defined as the diameter of the column where in the vapor component can have a maximum velocity for safe and optimum operations. Column Diameter is denoted by D_c symbol.

How to evaluate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity using this online evaluator? To use this online evaluator for Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity, enter Vapor Mass Flowrate (V_W), Vapor Density in Distillation (ρ_V) & Maximum Allowable Vapor Velocity (U_v) and hit the calculate button.

FAQs on Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

What is the formula to find Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

The formula of Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity is expressed as Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity)). Here is an example- 1.657974 = sqrt((4*4.157)/(pi*1.71*1.12932479467671)).

How to calculate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

With Vapor Mass Flowrate (V_W), Vapor Density in Distillation (ρ_V) & Maximum Allowable Vapor Velocity (U_v) we can find Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity using the formula - Column Diameter = sqrt((4*Vapor Mass Flowrate)/(pi*Vapor Density in Distillation*Maximum Allowable Vapor Velocity)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Column Diameter?

Here are the different ways to Calculate Column Diameter-

Column Diameter=((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2)

Can the Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity be negative?

No, the Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity, measured in Length cannot be negative.

Which unit is used to measure Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity can be measured.

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Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula

​GoColumn Diameter Based on Vapor Flowrate and Mass Velocity of Vapor Formula

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Example

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Solution

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity Formula Elements

Other Formulas to find Column Diameter

Other formulas in Distillation Tower Design category

How to Evaluate Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity?

FAQs on Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

Variable Name

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