Liquid Vapor Flow Factor in Distillation Column Design Calculator

✖Liquid Mass Flowrate is the mass flow rate of the liquid component in the column.ⓘ Liquid Mass Flowrate [L_w]			+10% -10%
✖Vapor Mass Flowrate is the mass flow rate of vapor component in column.ⓘ Vapor Mass Flowrate [V_W]			+10% -10%
✖Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.ⓘ Vapor Density in Distillation [ρ_V]			+10% -10%
✖Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.ⓘ Liquid Density [ρ_L]			+10% -10%

✖Flow Factor is used to characterize the vapor and liquid flow rates on a tray or between trays.ⓘ Liquid Vapor Flow Factor in Distillation Column Design [F_LV]

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Formula

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Liquid Vapor Flow Factor in Distillation Column Design

Formula

`"F"_{"LV"} = ("L"_{"w"}/"V"_{"W"})*(("ρ"_{"V"}/"ρ"_{"L"})^0.5)`

Example

`"0.128207"=("12.856kg/s"/"4.157kg/s")*(("1.71kg/m³"/"995kg/m³")^0.5)`

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Liquid Vapor Flow Factor in Distillation Column Design Solution

STEP 0: Pre-Calculation Summary

Formula Used

Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5)
F_LV = (L_w/V_W)*((ρ_V/ρ_L)^0.5)
This formula uses 5 Variables

Variables Used

Flow Factor - Flow Factor is used to characterize the vapor and liquid flow rates on a tray or between trays.
Liquid Mass Flowrate - (Measured in Kilogram per Second) - Liquid Mass Flowrate is the mass flow rate of the liquid component in the column.
Vapor Mass Flowrate - (Measured in Kilogram per Second) - Vapor Mass Flowrate is the mass flow rate of vapor component in column.
Vapor Density in Distillation - (Measured in Kilogram per Cubic Meter) - Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column.
Liquid Density - (Measured in Kilogram per Cubic Meter) - Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

STEP 1: Convert Input(s) to Base Unit

Liquid Mass Flowrate: 12.856 Kilogram per Second --> 12.856 Kilogram per Second No Conversion Required
Vapor Mass Flowrate: 4.157 Kilogram per Second --> 4.157 Kilogram per Second No Conversion Required
Vapor Density in Distillation: 1.71 Kilogram per Cubic Meter --> 1.71 Kilogram per Cubic Meter No Conversion Required
Liquid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_LV = (L_w/V_W)*((ρ_V/ρ_L)^0.5) --> (12.856/4.157)*((1.71/995)^0.5)

Evaluating ... ...

F_LV = 0.128207181880326

STEP 3: Convert Result to Output's Unit

0.128207181880326 --> No Conversion Required

FINAL ANSWER

0.128207181880326 ≈ 0.128207 <-- Flow Factor

(Calculation completed in 00.020 seconds)

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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DJ Sanghvi College of Engineering (DJSCE), Mumbai

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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

Liquid Vapor Flow Factor in Distillation Column Design Formula

Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5)
F_LV = (L_w/V_W)*((ρ_V/ρ_L)^0.5)

What Does Flow Factor Signifies?

The magnitude of the F-factor indicates the dominance of either vapor or liquid flow on the tray. A high F-factor suggests that vapor flow dominates, while a low F-factor suggests that liquid flow dominates.
Engineers and designers use the F-factor to help determine appropriate tray designs and operational conditions. The goal is to maintain the F-factor within a certain range that ensures efficient mass transfer and separation.

How to Calculate Liquid Vapor Flow Factor in Distillation Column Design?

Liquid Vapor Flow Factor in Distillation Column Design calculator uses Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5) to calculate the Flow Factor, The Liquid Vapor Flow Factor in Distillation Column Design formula is defined as a dimensionless parameter that provides important information about the relative flow rates of vapor and liquid on a distillation tray. Flow Factor is denoted by F_LV symbol.

How to calculate Liquid Vapor Flow Factor in Distillation Column Design using this online calculator? To use this online calculator for Liquid Vapor Flow Factor in Distillation Column Design, enter Liquid Mass Flowrate (L_w), Vapor Mass Flowrate (V_W), Vapor Density in Distillation (ρ_V) & Liquid Density (ρ_L) and hit the calculate button. Here is how the Liquid Vapor Flow Factor in Distillation Column Design calculation can be explained with given input values -> 0.128207 = (12.856/4.157)*((1.71/995)^0.5).

FAQ

What is Liquid Vapor Flow Factor in Distillation Column Design?

The Liquid Vapor Flow Factor in Distillation Column Design formula is defined as a dimensionless parameter that provides important information about the relative flow rates of vapor and liquid on a distillation tray and is represented as F_LV = (L_w/V_W)*((ρ_V/ρ_L)^0.5) or Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5). Liquid Mass Flowrate is the mass flow rate of the liquid component in the column, Vapor Mass Flowrate is the mass flow rate of vapor component in column, Vapor Density in Distillation is defined as the ratio of mass to the volume of vapor at particular temperature in a distillation Column & Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies.

How to calculate Liquid Vapor Flow Factor in Distillation Column Design?

The Liquid Vapor Flow Factor in Distillation Column Design formula is defined as a dimensionless parameter that provides important information about the relative flow rates of vapor and liquid on a distillation tray is calculated using Flow Factor = (Liquid Mass Flowrate/Vapor Mass Flowrate)*((Vapor Density in Distillation/Liquid Density)^0.5). To calculate Liquid Vapor Flow Factor in Distillation Column Design, you need Liquid Mass Flowrate (L_w), Vapor Mass Flowrate (V_W), Vapor Density in Distillation (ρ_V) & Liquid Density (ρ_L). With our tool, you need to enter the respective value for Liquid Mass Flowrate, Vapor Mass Flowrate, Vapor Density in Distillation & Liquid Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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