Tower Cross Sectional Area given 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 Active Area [A_T]

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Formula

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Tower Cross Sectional Area given Active Area

Formula

`"A"_{"T"} = "A"_{"a"}/(1-"f"_{"d"})`

Example

`"0.632045m²"="0.5562m²"/(1-"0.12")`

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Tower Cross Sectional Area given 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)

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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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

Tower Cross Sectional Area given Active Area Formula

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

What is the Significance of Active Area?

When considering the fluid dynamics and vapor-liquid distribution within a distillation column, the term "active area" could refer to the effective cross-sectional area through which the vapor and liquid phases interact. This is particularly relevant in packed columns or trayed columns where the efficiency of mass transfer is influenced by the available area for vapor-liquid contact.
Active Area comprises of the contacting area between the liquid and vapor phase during process of distillation or absorption.

How to Calculate Tower Cross Sectional Area given Active Area?

Tower Cross Sectional Area given 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 Active Area formula is defined as total cross sectional area for the column or tray tower obtained when the active area is known. Tower Cross Sectional Area is denoted by A_T symbol.

How to calculate Tower Cross Sectional Area given Active Area using this online calculator? To use this online calculator for Tower Cross Sectional Area given 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 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 Active Area?

The Tower Cross Sectional Area given Active Area formula is defined as total cross sectional area for the column or tray tower obtained when the active area is known 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 Active Area?

The Tower Cross Sectional Area given Active Area formula is defined as total cross sectional area for the column or tray tower obtained when the active area is known is calculated using Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area). To calculate Tower Cross Sectional Area given 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 = Volumetric Gas Flow/((Fractional Approach to Flooding Velocity*Flooding Velocity)*(1-Fractional Downcomer Area))
Tower Cross Sectional Area = Active Area/(1-Fractional Downcomer Area)

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