Effective Interfacial Area of Packing using Onda's Method Calculator

✖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.ⓘ Interfacial Area per Volume [a]			+10% -10%
✖Critical Surface Tension is defined as the minimum surface tension a liquid must have for it to completely wet and spread over the surface.ⓘ Critical Surface Tension [σ_c]			+10% -10%
✖Liquid Surface Tension is the measure of the attraction and tightness between the liquid molecules at the liquid's surface.ⓘ Liquid Surface Tension [σ_L]			+10% -10%
✖Liquid Mass Flux is a measure of how much mass of liquid passes through a particular point in a given amount of time.ⓘ Liquid Mass Flux [L_W]			+10% -10%
✖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.ⓘ Fluid Viscosity in Packed Column [μ_L]			+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%

✖Effective Interfacial Area represents the total interfacial area per unit volume within a multiphase system.ⓘ Effective Interfacial Area of Packing using Onda's Method [a_W]

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Formula

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Effective Interfacial Area of Packing using Onda's Method

Formula

`"a"_{"W"} = "a"*(1-exp((-1.45*(("σ"_{"c"}/"σ"_{"L"})^0.75)*("L"_{"W"}/("a"*"μ"_{"L"}))^0.1)*((("L"_{"W"})^2*"a")/(("ρ"_{"L"})^2*"[g]"))^-0.05)*("L"_{"W"}^2/("ρ"_{"L"}*"a"*"σ"_{"L"}))^0.2)`

Example

`"0.175805m²"="0.1788089m²"*(1-exp((-1.45*(("0.061N/m"/"0.0712N/m")^0.75)*("1.4785kg/s/m²"/("0.1788089m²"*"1.005Pa*s"))^0.1)*((("1.4785kg/s/m²")^2*"0.1788089m²")/(("995kg/m³")^2*"[g]"))^-0.05)*(("1.4785kg/s/m²")^2/("995kg/m³"*"0.1788089m²"*"0.0712N/m"))^0.2)`

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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)
a_W = a*(1-exp((-1.45*((σ_c/σ_L)^0.75)*(L_W/(a*μ_L))^0.1)*(((L_W)^2*a)/((ρ_L)^2*[g]))^-0.05)*(L_W^2/(ρ_L*a*σ_L))^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

a_W = a*(1-exp((-1.45*((σ_c/σ_L)^0.75)*(L_W/(a*μ_L))^0.1)*(((L_W)^2*a)/((ρ_L)^2*[g]))^-0.05)*(L_W^2/(ρ_L*a*σ_L))^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 ... ...

a_W = 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 00.004 seconds)

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Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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< 16 Packed Column Designing Calculators

Effective Interfacial Area of Packing using Onda's Method

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

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

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)))

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor

Go Pressure Drop Correlation Factor = (13.1*((Gas Mass Flux)^2)*Packing Factor*((Fluid Viscosity in Packed Column/Liquid Density)^0.1))/((Vapor Density in Packed Column)*(Liquid Density-Vapor Density in Packed Column))

Interfacial Area given Height of Transfer Unit and Mass Transfer Coefficient

Go Interfacial Area per Volume = (Molar Gas Flowrate)/(Height of Transfer Unit*Overall Gas Phase Mass Transfer Coefficient*Total Pressure)

Overall Gas Mass Transfer Coefficient given Height of Transfer Unit

Go Overall Gas Phase Mass Transfer Coefficient = (Molar Gas Flowrate)/(Height of Transfer Unit*Interfacial Area per Volume*Total Pressure)

Height of Overall Gas Phase Transfer Unit in Packed Column

Go Height of Transfer Unit = (Molar Gas Flowrate)/(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)

Gas Molar Flux given Height of Transfer Unit and Interfacial Area

Go Molar Gas Flowrate = Height of Transfer Unit*(Overall Gas Phase Mass Transfer Coefficient*Interfacial Area per Volume*Total Pressure)

HETP of Packed Columns using 25 and 50mm Raschig Rings

Go Height Equivalent to Theoretical Plate = 18*Diameter of Rings+12*(Average Equilibrium Slope)*((Gas Flow/Liquid Mass Flowrate)-1)

Number of Transfer Units for Dilute System in Packed Column

Go Number Of Transfer Units-Nog = (Solute Gas Mole Fraction-Solute Gas Mole Fraction at Top)/(Log Mean Driving Force)

Gas Film Mass Transfer Coefficient given Column Performance and Interfacial Area

Go Gas Film Transfer Coefficient = (Column Performance*Molar Gas Flowrate)/(Interfacial Area per Volume)

Performance of Column Given Gas-Film Transfer Coefficient and Vapor Flowrate

Go Column Performance = (Gas Film Transfer Coefficient*Interfacial Area per Volume)/Molar Gas Flowrate

Interfacial Area of Packing Given Performance of Column and Gas Flowrate

Go Interfacial Area per Volume = (Column Performance*Molar Gas Flowrate)/Gas Film Transfer Coefficient

Gas Flowrate given Column Performance and Interfacial Area

Go Molar Gas Flowrate = (Gas Film Transfer Coefficient*Interfacial Area per Volume)/Column Performance

Average Specific Pressure Drop Given Top Bed Pressure Drop and Bottom Bed Pressure Drop

Go Average Pressure Drop = ((0.5*(Top Bed Pressure Drop)^0.5)+(0.5*(Bottom Bed Pressure Drop)^0.5))^2

Performance of Column for Known Value of Height of Transfer Unit

Go Column Performance = 1/Height of Transfer Unit

Effective Interfacial Area of Packing using Onda's Method Formula

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 a_W 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 (σ_c), Liquid Surface Tension (σ_L), Liquid Mass Flux (L_W), Fluid Viscosity in Packed Column (μ_L) & Liquid Density (ρ_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 a_W = a*(1-exp((-1.45*((σ_c/σ_L)^0.75)*(L_W/(a*μ_L))^0.1)*(((L_W)^2*a)/((ρ_L)^2*[g]))^-0.05)*(L_W^2/(ρ_L*a*σ_L))^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 (σ_c), Liquid Surface Tension (σ_L), Liquid Mass Flux (L_W), Fluid Viscosity in Packed Column (μ_L) & Liquid Density (ρ_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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