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]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Process Equipment Design Formula PDF PDF Image

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 00.020 seconds)

You are here -

Home » Engineering » Chemical Engineering » Process Equipment Design » Column Design » Distillation Tower Design » Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

Credits

Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

Rishi Vadodaria has created this Calculator and 200+ more calculators!

Verified by Prerana Bakli

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

Prerana Bakli has verified this Calculator and 1600+ more calculators!

< Distillation Tower Design Calculators

Column Diameter given Maximum Vapor Rate and Maximum Vapor Velocity

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

Column Diameter Based on Vapor Flowrate and Mass Velocity of Vapor

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

Active Area given Gas Volumetric Flow and Flow Velocity

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

Clearance Area under Downcomer given Weir Length and Apron Height

LaTeX Go Clearance Area Under Downcomer = Apron Height*Weir Length

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

LaTeX Go

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))

Home

FREE PDFs

🔍 Search