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

✖Vapor Mass Flowrate is the mass flow rate of vapor component in column.ⓘ Vapor Mass Flowrate [V_W]			+10% -10%
✖Maximum Allowable Mass Velocity is a measure of the mass of fluid passing through a unit cross-sectional area per unit time.ⓘ Maximum Allowable Mass Velocity [W_max]			+10% -10%

✖Column Diameter refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.ⓘ Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor [D_c]

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Formula

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Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

Formula

`"D"_{"c"} = ((4*"V"_{"W"})/(pi*"W"_{"max"}))^(1/2)`

Example

`"0.339313m"=((4*"4.157kg/s")/(pi*"45.9715kg/s/m²"))^(1/2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2)
D_c = ((4*V_W)/(pi*W_max))^(1/2)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Column Diameter - (Measured in Meter) - Column Diameter refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.
Vapor Mass Flowrate - (Measured in Kilogram per Second) - Vapor Mass Flowrate is the mass flow rate of vapor component in column.
Maximum Allowable Mass Velocity - (Measured in Kilogram per Second per Square Meter) - Maximum Allowable Mass Velocity is a measure of the mass of fluid passing through a unit cross-sectional area per unit time.

STEP 1: Convert Input(s) to Base Unit

Vapor Mass Flowrate: 4.157 Kilogram per Second --> 4.157 Kilogram per Second No Conversion Required
Maximum Allowable Mass Velocity: 45.9715 Kilogram per Second per Square Meter --> 45.9715 Kilogram per Second per Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_c = ((4*V_W)/(pi*W_max))^(1/2) --> ((4*4.157)/(pi*45.9715))^(1/2)

Evaluating ... ...

D_c = 0.339313183870114

STEP 3: Convert Result to Output's Unit

0.339313183870114 Meter --> No Conversion Required

FINAL ANSWER

0.339313183870114 ≈ 0.339313 Meter <-- Column Diameter

(Calculation completed in 00.004 seconds)

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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< 25 Distillation Tower Design Calculators

Relative Volatility of Two Components Based on Normal Boiling Point and Latent Heat of Vaporization

Go Relative Volatility = exp(0.25164*((1/Normal Boiling Point of Component 1)-(1/Normal Boiling Point of Component 2))*(Latent Heat of Vaporization of Component 1+Latent Heat of Vaporization of Component 2))

Maximum Allowable Vapor Velocity given Plate Spacing and Fluid Densities

Go Maximum Allowable Vapor Velocity = (-0.171*(Plate Spacing)^2+0.27*Plate Spacing-0.047)*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

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

Tower Cross Sectional Area given Gas Volumetric Flow and Flooding Velocity

Go Tower Cross Sectional Area = Volumetric Gas Flow/((Fractional Approach to Flooding Velocity*Flooding Velocity)*(1-Fractional Downcomer Area))

Minimum External Reflux given Compositions

Go External Reflux Ratio = (Distillate Composition-Equilibrium Vapor Composition)/(Equilibrium Vapor Composition-Equilibrium Liquid Composition)

Maximum Allowable Mass Velocity using Bubble Cap Trays

Go Maximum Allowable Mass Velocity = Entrainment Factor*(Vapor Density in Distillation*(Liquid Density-Vapor Density in Distillation)^(1/2))

Minimum Internal Reflux given Compositions

Go Internal Reflux Ratio = (Distillate Composition-Equilibrium Vapor Composition)/(Distillate Composition-Equilibrium Liquid Composition)

Dry Plate Pressure Drop in Distillation Column Design

Go Dry Plate Head Loss = 51*((Vapor Velocity Based on Hole Area/Orifice Coefficient)^2)*(Vapor Density in Distillation/Liquid Density)

Flooding Velocity in Distillation Column Design

Go Flooding Velocity = Capacity Factor*((Liquid Density-Vapor Density in Distillation)/Vapor Density in Distillation)^0.5

Weep Point Velocity in Distillation Column Design

Go Weep Point Vapor Velocity Based on Hole Area = (Weep Point Correlation Constant-0.90*(25.4-Hole Diameter))/((Vapor Density in Distillation)^0.5)

Liquid Vapor Flow Factor in Distillation Column Design

Go Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5)

Downcomer Residence Time in Distillation Column

Go Residence Time = (Downcomer Area*Clear Liquid Backup*Liquid Density)/Liquid Mass Flowrate

Internal Reflux Ratio Based on Liquid and Distillate Flowrates

Go Internal Reflux Ratio = Liquid Reflux Flowrate/(Liquid Reflux Flowrate+Distillate Flowrate)

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

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

Head Loss in Downcomer of Tray Tower

Go Downcomer Headloss = 166*((Liquid Mass Flowrate/(Liquid Density*Downcomer Area)))^2

Height of Liquid Crest over Weir

Go Weir Crest = (750/1000)*((Liquid Mass Flowrate/(Weir Length*Liquid Density))^(2/3))

Active Area given Gas Volumetric Flow and Flow Velocity

Go Active Area = Volumetric Gas Flow/(Fractional Downcomer Area*Flooding Velocity)

Fractional Downcomer Area given Total Cross Sectional Area

Go Fractional Downcomer Area = 2*(Downcomer Area/Tower Cross Sectional Area)

Fractional Active Area given Downcomer Area and Total Column Area

Go Fractional Active Area = 1-2*(Downcomer Area/Tower Cross Sectional Area)

Internal Reflux Ratio Given External Reflux Ratio

Go Internal Reflux Ratio = External Reflux Ratio/(External Reflux Ratio+1)

Tower Cross Sectional Area given Fractional Active Area

Go Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

Tower Cross Sectional Area given Active Area

Go Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

Clearance Area under Downcomer given Weir Length and Apron Height

Go Clearance Area Under Downcomer = Apron Height*Weir Length

Fractional Active Area given Fractional Downcomer Area

Go Fractional Active Area = 1-Fractional Downcomer Area

Residual Head Loss in Pressure in Distillation Column

Go Residual Head Loss = (12.5*10^3)/Liquid Density

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

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

What is the Significance of Column Diameter and Vapor Flowrate in Distillation Columns?

The column diameter and vapor flow rate are critical parameters in the design and operation of distillation columns, influencing various aspects of separation efficiency, energy consumption, and overall performance.
The diameter of the distillation column affects the efficiency of the separation process. A larger diameter provides more surface area for vapor-liquid contact, enhancing the separation of components.
Vapor flow rate affects the heat transfer within the column. Efficient heat transfer is essential for maintaining temperature profiles, especially in processes involving heat-sensitive components.
An optimal vapor flow rate contributes to overall column efficiency. Too low a vapor flow may result in poor separation, while too high a vapor flow can lead to flooding and reduced efficiency.

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

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor calculator uses Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2) to calculate 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 calculate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor using this online calculator? To use this online calculator 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. Here is how the Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor calculation can be explained with given input values -> 0.339313 = ((4*4.157)/(pi*45.9715))^(1/2).

FAQ

What is Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor?

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 and is represented as D_c = ((4*V_W)/(pi*W_max))^(1/2) or Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2). Vapor Mass Flowrate is the mass flow rate of vapor component in column & Maximum Allowable Mass Velocity is a measure of the mass of fluid passing through a unit cross-sectional area per unit time.

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

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 is calculated using Column Diameter = ((4*Vapor Mass Flowrate)/(pi*Maximum Allowable Mass Velocity))^(1/2). To calculate Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor, you need Vapor Mass Flowrate (V_W) & Maximum Allowable Mass Velocity (W_max). With our tool, you need to enter the respective value for Vapor Mass Flowrate & Maximum Allowable Mass Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Column Diameter?

In this formula, Column Diameter uses Vapor Mass Flowrate & Maximum Allowable Mass Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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