Tower Cross Sectional Area given Fractional Active Area Calculator

✖Active Area is the area made available for the vapor component to travel in a Tray tower where liquid-vapor contacting takes place.ⓘ Active Area [A_a]			+10% -10%
✖Fractional Downcomer Area refers to the ratio of tower cross sectional area occupied by the downcomers on both side of column.ⓘ Fractional Downcomer Area [f_d]			+10% -10%

✖Tower Cross Sectional Area is the area of Column/Tower where the effective unit process or operations takes place.ⓘ Tower Cross Sectional Area given Fractional Active Area [A_T]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Process Equipment Design Formula PDF PDF Image

Tower Cross Sectional Area given Fractional Active Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)
A_T = A_a/(1-f_d)
This formula uses 3 Variables

Variables Used

Tower Cross Sectional Area - (Measured in Square Meter) - Tower Cross Sectional Area is the area of Column/Tower where the effective unit process or operations takes place.
Active Area - (Measured in Square Meter) - Active Area is the area made available for the vapor component to travel in a Tray tower where liquid-vapor contacting takes place.
Fractional Downcomer Area - Fractional Downcomer Area refers to the ratio of tower cross sectional area occupied by the downcomers on both side of column.

STEP 1: Convert Input(s) to Base Unit

Active Area: 0.5562 Square Meter --> 0.5562 Square Meter No Conversion Required
Fractional Downcomer Area: 0.12 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_T = A_a/(1-f_d) --> 0.5562/(1-0.12)

Evaluating ... ...

A_T = 0.632045454545455

STEP 3: Convert Result to Output's Unit

0.632045454545455 Square Meter --> No Conversion Required

FINAL ANSWER

0.632045454545455 ≈ 0.632045 Square Meter <-- Tower Cross Sectional Area

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Chemical Engineering » Process Equipment Design » Column Design » Distillation Tower Design » Tower Cross Sectional Area given Fractional Active Area

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

Tower Cross Sectional Area given Fractional Active Area Formula

LaTeX Go

Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)
A_T = A_a/(1-f_d)

What is the Significance of Column Area in Distillation?

The column area in distillation plays a critical role in the efficiency and effectiveness of the separation process. The cross-sectional area of the column directly influences the available space for vapor-liquid contact. A larger column area provides more surface area for mass transfer, enhancing the efficiency of separation. The column area contributes to the residence time of the vapor and liquid phases within the column. Sufficient residence time is essential for achieving proper separation and ensuring that components have enough time to equilibrate between the phases.
In summary, the column area in distillation is a critical parameter influencing the effectiveness and efficiency of the separation process. Proper design and optimization of the column area contribute to enhanced mass transfer, vapor-liquid equilibrium, and overall performance of the distillation unit.

How to Calculate Tower Cross Sectional Area given Fractional Active Area?

Tower Cross Sectional Area given Fractional Active Area calculator uses Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area) to calculate the Tower Cross Sectional Area, The Tower Cross Sectional Area given Fractional Active Area formula is defined as total area occupied by the column for a known value of active area and the fraction of downcomer area available for a tray tower/column. Tower Cross Sectional Area is denoted by A_T symbol.

How to calculate Tower Cross Sectional Area given Fractional Active Area using this online calculator? To use this online calculator for Tower Cross Sectional Area given Fractional Active Area, enter Active Area (A_a) & Fractional Downcomer Area (f_d) and hit the calculate button. Here is how the Tower Cross Sectional Area given Fractional Active Area calculation can be explained with given input values -> 0.632045 = 0.5562/(1-0.12).

FAQ

What is Tower Cross Sectional Area given Fractional Active Area?

The Tower Cross Sectional Area given Fractional Active Area formula is defined as total area occupied by the column for a known value of active area and the fraction of downcomer area available for a tray tower/column and is represented as A_T = A_a/(1-f_d) or Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area). Active Area is the area made available for the vapor component to travel in a Tray tower where liquid-vapor contacting takes place & Fractional Downcomer Area refers to the ratio of tower cross sectional area occupied by the downcomers on both side of column.

How to calculate Tower Cross Sectional Area given Fractional Active Area?

The Tower Cross Sectional Area given Fractional Active Area formula is defined as total area occupied by the column for a known value of active area and the fraction of downcomer area available for a tray tower/column is calculated using Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area). To calculate Tower Cross Sectional Area given Fractional Active Area, you need Active Area (A_a) & Fractional Downcomer Area (f_d). With our tool, you need to enter the respective value for Active Area & Fractional Downcomer Area 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 Tower Cross Sectional Area?

In this formula, Tower Cross Sectional Area uses Active Area & Fractional Downcomer Area. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search