Effective Interfacial Area of Packing using Onda's Method Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
aW = a*(1-exp((-1.45*((σc/σL)^0.75)*(LW/(a*μL))^0.1)*(((LW)^2*a)/((ρL)^2*[g]))^-0.05)*(LW^2/(ρL*a*σL))^0.2)
This formula uses 1 Constants, 1 Functions, 7 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Effective Interfacial Area - (Measured in Square Meter) - Effective Interfacial Area represents the total interfacial area per unit volume within a multiphase system.
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.
Critical Surface Tension - (Measured in Newton per Meter) - Critical Surface Tension is defined as the minimum surface tension a liquid must have for it to completely wet and spread over the surface.
Liquid Surface Tension - (Measured in Newton per Meter) - Liquid Surface Tension is the measure of the attraction and tightness between the liquid molecules at the liquid's surface.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Interfacial Area per Volume: 0.1788089 Square Meter --> 0.1788089 Square Meter No Conversion Required
Critical Surface Tension: 0.061 Newton per Meter --> 0.061 Newton per Meter No Conversion Required
Liquid Surface Tension: 0.0712 Newton per Meter --> 0.0712 Newton per Meter No Conversion Required
Liquid Mass Flux: 1.4785 Kilogram per Second per Square Meter --> 1.4785 Kilogram per Second per 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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
aW = a*(1-exp((-1.45*((σcL)^0.75)*(LW/(a*μL))^0.1)*(((LW)^2*a)/((ρL)^2*[g]))^-0.05)*(LW^2/(ρL*a*σL))^0.2) --> 0.1788089*(1-exp((-1.45*((0.061/0.0712)^0.75)*(1.4785/(0.1788089*1.005))^0.1)*(((1.4785)^2*0.1788089)/((995)^2*[g]))^-0.05)*(1.4785^2/(995*0.1788089*0.0712))^0.2)
Evaluating ... ...
aW = 0.175804925321227
STEP 3: Convert Result to Output's Unit
0.175804925321227 Square Meter --> No Conversion Required
FINAL ANSWER
0.175804925321227 0.175805 Square Meter <-- Effective Interfacial Area
(Calculation completed in 00.020 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR
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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)

Effective Interfacial Area of Packing using Onda's Method Formula

​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)
aW = a*(1-exp((-1.45*((σc/σL)^0.75)*(LW/(a*μL))^0.1)*(((LW)^2*a)/((ρL)^2*[g]))^-0.05)*(LW^2/(ρL*a*σL))^0.2)

What is the significance of Effective Interfacial Area of Packing?

In a packed bed, the surfaces of the packing material provide a large interface between the liquid and gas phases, promoting mass transfer, heat transfer, or chemical reactions. The effective interfacial area quantifies the extent of this interface within the given volume. The effective interfacial area is essential in optimizing mass transfer and reaction rates in chemical processes.

How to Calculate Effective Interfacial Area of Packing using Onda's Method?

Effective Interfacial Area of Packing using Onda's Method calculator uses 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) to calculate the Effective Interfacial Area, The Effective Interfacial Area of Packing using Onda's Method formula refers to the total interfacial area per unit volume within a packed bed or column filled with a structured or random arrangement of solid particles. Effective Interfacial Area is denoted by aW symbol.

How to calculate Effective Interfacial Area of Packing using Onda's Method using this online calculator? To use this online calculator for Effective Interfacial Area of Packing using Onda's Method, enter Interfacial Area per Volume (a), Critical Surface Tension c), Liquid Surface Tension L), Liquid Mass Flux (LW), Fluid Viscosity in Packed Column L) & Liquid Density L) and hit the calculate button. Here is how the Effective Interfacial Area of Packing using Onda's Method calculation can be explained with given input values -> 0.175805 = 0.1788089*(1-exp((-1.45*((0.061/0.0712)^0.75)*(1.4785/(0.1788089*1.005))^0.1)*(((1.4785)^2*0.1788089)/((995)^2*[g]))^-0.05)*(1.4785^2/(995*0.1788089*0.0712))^0.2).

FAQ

What is Effective Interfacial Area of Packing using Onda's Method?
The Effective Interfacial Area of Packing using Onda's Method formula refers to the total interfacial area per unit volume within a packed bed or column filled with a structured or random arrangement of solid particles and is represented as aW = a*(1-exp((-1.45*((σcL)^0.75)*(LW/(a*μL))^0.1)*(((LW)^2*a)/((ρL)^2*[g]))^-0.05)*(LW^2/(ρL*a*σL))^0.2) or 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). 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, Critical Surface Tension is defined as the minimum surface tension a liquid must have for it to completely wet and spread over the surface, Liquid Surface Tension is the measure of the attraction and tightness between the liquid molecules at the liquid's surface, Liquid Mass Flux is a measure of how much mass of liquid passes through a particular point in a given amount of time, 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.
How to calculate Effective Interfacial Area of Packing using Onda's Method?
The Effective Interfacial Area of Packing using Onda's Method formula refers to the total interfacial area per unit volume within a packed bed or column filled with a structured or random arrangement of solid particles is calculated using 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). To calculate Effective Interfacial Area of Packing using Onda's Method, you need Interfacial Area per Volume (a), Critical Surface Tension c), Liquid Surface Tension L), Liquid Mass Flux (LW), Fluid Viscosity in Packed Column L) & Liquid Density L). With our tool, you need to enter the respective value for Interfacial Area per Volume, Critical Surface Tension, Liquid Surface Tension, Liquid Mass Flux, Fluid Viscosity in Packed Column & 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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