Liquid Mass Film Coefficient in Packed Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3)
KL = 0.0051*((LW*VP/(aW*μL))^(2/3))*((μL/(ρL*Dc))^(-1/2))*((a*dp/VP)^0.4)*((μL*[g])/ρL)^(1/3)
This formula uses 1 Constants, 9 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Liquid Phase Mass Transfer Coefficient - (Measured in Meter per Second) - Liquid Phase Mass Transfer Coefficient quantifies the effectiveness of the mass transfer process.
Liquid Mass Flux - (Measured in Kilogram per Second per Square Meter) - Liquid Mass Flux is a measure of how much mass of liquid passes through a particular point in a given amount of time.
Packing Volume - (Measured in Cubic Meter) - Packing Volume is defined as the volume occupied by the packing material in a column.
Effective Interfacial Area - (Measured in Square Meter) - Effective Interfacial Area represents the total interfacial area per unit volume within a multiphase system.
Fluid Viscosity in Packed Column - (Measured in Pascal Second) - Fluid Viscosity in Packed Column is a fundamental property of fluids that characterizes their resistance to flow. It is defined at the bulk temperature of the fluid.
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.
Column Diameter of Packed Column - (Measured in Meter) - Column Diameter of Packed Column refers to the diameter of the column wherein the mass transfer or any other unit operations takes place.
Interfacial Area per Volume - (Measured in Square Meter) - Interfacial Area per Volume refers to the surface area of the interface between the two phases (usually a liquid and a gas) per unit volume of the packing material.
Packing Size - (Measured in Meter) - Packing Size refers to the dimensions and characteristics of the packing material or column internals.
STEP 1: Convert Input(s) to Base Unit
Liquid Mass Flux: 1.4785 Kilogram per Second per Square Meter --> 1.4785 Kilogram per Second per Square Meter No Conversion Required
Packing Volume: 3.03215 Cubic Meter --> 3.03215 Cubic Meter No Conversion Required
Effective Interfacial Area: 0.175804925321227 Square Meter --> 0.175804925321227 Square Meter No Conversion Required
Fluid Viscosity in Packed Column: 1.005 Pascal Second --> 1.005 Pascal Second No Conversion Required
Liquid Density: 995 Kilogram per Cubic Meter --> 995 Kilogram per Cubic Meter No Conversion Required
Column Diameter of Packed Column: 0.6215 Meter --> 0.6215 Meter No Conversion Required
Interfacial Area per Volume: 0.1788089 Square Meter --> 0.1788089 Square Meter No Conversion Required
Packing Size: 0.051 Meter --> 0.051 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
KL = 0.0051*((LW*VP/(aWL))^(2/3))*((μL/(ρL*Dc))^(-1/2))*((a*dp/VP)^0.4)*((μL*[g])/ρL)^(1/3) --> 0.0051*((1.4785*3.03215/(0.175804925321227*1.005))^(2/3))*((1.005/(995*0.6215))^(-1/2))*((0.1788089*0.051/3.03215)^0.4)*((1.005*[g])/995)^(1/3)
Evaluating ... ...
KL = 0.02299361181629
STEP 3: Convert Result to Output's Unit
0.02299361181629 Meter per Second --> No Conversion Required
FINAL ANSWER
0.02299361181629 0.022994 Meter per Second <-- Liquid Phase Mass Transfer Coefficient
(Calculation completed in 00.004 seconds)

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Packed Column Designing Calculators

Effective Interfacial Area of Packing using Onda's Method
​ LaTeX ​ Go Effective Interfacial Area = Interfacial Area per Volume*(1-exp((-1.45*((Critical Surface Tension/Liquid Surface Tension)^0.75)*(Liquid Mass Flux/(Interfacial Area per Volume*Fluid Viscosity in Packed Column))^0.1)*(((Liquid Mass Flux)^2*Interfacial Area per Volume)/((Liquid Density)^2*[g]))^-0.05)*(Liquid Mass Flux^2/(Liquid Density*Interfacial Area per Volume*Liquid Surface Tension))^0.2)
Liquid Mass Film Coefficient in Packed Columns
​ LaTeX ​ Go Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3)
Log Mean Driving Force Based on Mole Fraction
​ LaTeX ​ Go Log Mean Driving Force = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(ln((Solute Gas Mole Fraction-Gas Concentration at Equilibrium)/(Solute Gas Mole Fraction at Top-Gas Concentration at Equilibrium)))
Height of Overall Gas Phase Transfer Unit in Packed Column
​ LaTeX ​ Go Height of Transfer Unit = (Molar Gas Flowrate)/(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)

Liquid Mass Film Coefficient in Packed Columns Formula

​LaTeX ​Go
Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3)
KL = 0.0051*((LW*VP/(aW*μL))^(2/3))*((μL/(ρL*Dc))^(-1/2))*((a*dp/VP)^0.4)*((μL*[g])/ρL)^(1/3)

What is the Significance of Mass Transfer Coefficients in Packed Columns?

Mass transfer coefficients determine how efficiently a packed column can separate components of a mixture. Higher mass transfer coefficients indicate more effective mass transfer between the vapor and liquid phases. This efficiency is critical in achieving the desired degree of separation in processes like distillation, where components need to be separated based on their volatility.

How to Calculate Liquid Mass Film Coefficient in Packed Columns?

Liquid Mass Film Coefficient in Packed Columns calculator uses Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3) to calculate the Liquid Phase Mass Transfer Coefficient, The Liquid Mass Film Coefficient in Packed Columns formula is defined as the rate of mass transfer per unit area and per unit concentration difference between the bulk liquid phase and the surface or interface where the transfer occurs. Liquid Phase Mass Transfer Coefficient is denoted by KL symbol.

How to calculate Liquid Mass Film Coefficient in Packed Columns using this online calculator? To use this online calculator for Liquid Mass Film Coefficient in Packed Columns, enter Liquid Mass Flux (LW), Packing Volume (VP), Effective Interfacial Area (aW), Fluid Viscosity in Packed Column L), Liquid Density L), Column Diameter of Packed Column (Dc), Interfacial Area per Volume (a) & Packing Size (dp) and hit the calculate button. Here is how the Liquid Mass Film Coefficient in Packed Columns calculation can be explained with given input values -> 0.022994 = 0.0051*((1.4785*3.03215/(0.175804925321227*1.005))^(2/3))*((1.005/(995*0.6215))^(-1/2))*((0.1788089*0.051/3.03215)^0.4)*((1.005*[g])/995)^(1/3).

FAQ

What is Liquid Mass Film Coefficient in Packed Columns?
The Liquid Mass Film Coefficient in Packed Columns formula is defined as the rate of mass transfer per unit area and per unit concentration difference between the bulk liquid phase and the surface or interface where the transfer occurs and is represented as KL = 0.0051*((LW*VP/(aWL))^(2/3))*((μL/(ρL*Dc))^(-1/2))*((a*dp/VP)^0.4)*((μL*[g])/ρL)^(1/3) or Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3). Liquid Mass Flux is a measure of how much mass of liquid passes through a particular point in a given amount of time, Packing Volume is defined as the volume occupied by the packing material in a column, Effective Interfacial Area represents the total interfacial area per unit volume within a multiphase system, Fluid Viscosity in Packed Column is a fundamental property of fluids that characterizes their resistance to flow. It is defined at the bulk temperature of the fluid, Liquid Density is defined as the ratio of mass of given fluid with respect to the volume that it occupies, Column Diameter of Packed Column refers to the diameter of the column wherein the mass transfer or any other unit operations takes place, Interfacial Area per Volume refers to the surface area of the interface between the two phases (usually a liquid and a gas) per unit volume of the packing material & Packing Size refers to the dimensions and characteristics of the packing material or column internals.
How to calculate Liquid Mass Film Coefficient in Packed Columns?
The Liquid Mass Film Coefficient in Packed Columns formula is defined as the rate of mass transfer per unit area and per unit concentration difference between the bulk liquid phase and the surface or interface where the transfer occurs is calculated using Liquid Phase Mass Transfer Coefficient = 0.0051*((Liquid Mass Flux*Packing Volume/(Effective Interfacial Area*Fluid Viscosity in Packed Column))^(2/3))*((Fluid Viscosity in Packed Column/(Liquid Density*Column Diameter of Packed Column))^(-1/2))*((Interfacial Area per Volume*Packing Size/Packing Volume)^0.4)*((Fluid Viscosity in Packed Column*[g])/Liquid Density)^(1/3). To calculate Liquid Mass Film Coefficient in Packed Columns, you need Liquid Mass Flux (LW), Packing Volume (VP), Effective Interfacial Area (aW), Fluid Viscosity in Packed Column L), Liquid Density L), Column Diameter of Packed Column (Dc), Interfacial Area per Volume (a) & Packing Size (dp). With our tool, you need to enter the respective value for Liquid Mass Flux, Packing Volume, Effective Interfacial Area, Fluid Viscosity in Packed Column, Liquid Density, Column Diameter of Packed Column, Interfacial Area per Volume & Packing Size 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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