Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Calculator

✖Gas Mass Flux is the mass Flowrate of vapor component per unit cross sectional area of column.ⓘ Gas Mass Flux [V_w]			+10% -10%
✖Packing Factor characterizes the efficiency of the packing material used in a column.ⓘ Packing Factor [F_p]			+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%
✖Vapor Density in Packed Column is defined as the ratio of mass to the volume of vapor at particular temperature in a Packed Column.ⓘ Vapor Density in Packed Column [ρ_V]			+10% -10%

✖Pressure Drop Correlation Factor is the constant that correlates with gas mass flow rates per unit cross sectional area.ⓘ Pressure Drop Correlation given Vapor Mass Flux and Packing Factor [K₄]

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Formula

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Pressure Drop Correlation given Vapor Mass Flux and Packing Factor

Formula

`"K"_{"4"} = (13.1*(("V"_{"w"})^2)*"F"_{"p"}*(("μ"_{"L"}/"ρ"_{"L"})^0.1))/(("ρ"_{"V"})*("ρ"_{"L"}-"ρ"_{"V"}))`

Example

`"0.000435"=(13.1*(("1.257810kg/s/m²")^2)*"0.071"*(("1.005Pa*s"/"995kg/m³")^0.1))/(("1.71kg/m³")*("995kg/m³"-"1.71kg/m³"))`

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Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
K₄ = (13.1*((V_w)^2)*F_p*((μ_L/ρ_L)^0.1))/((ρ_V)*(ρ_L-ρ_V))
This formula uses 6 Variables

Variables Used

Pressure Drop Correlation Factor - Pressure Drop Correlation Factor is the constant that correlates with gas mass flow rates per unit cross sectional area.
Gas Mass Flux - (Measured in Kilogram per Second per Square Meter) - Gas Mass Flux is the mass Flowrate of vapor component per unit cross sectional area of column.
Packing Factor - Packing Factor characterizes the efficiency of the packing material used in a column.
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.
Vapor Density in Packed Column - (Measured in Kilogram per Cubic Meter) - Vapor Density in Packed Column is defined as the ratio of mass to the volume of vapor at particular temperature in a Packed Column.

STEP 1: Convert Input(s) to Base Unit

Gas Mass Flux: 1.25781 Kilogram per Second per Square Meter --> 1.25781 Kilogram per Second per Square Meter No Conversion Required
Packing Factor: 0.071 --> 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
Vapor Density in Packed Column: 1.71 Kilogram per Cubic Meter --> 1.71 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K₄ = (13.1*((V_w)^2)*F_p*((μ_L/ρ_L)^0.1))/((ρ_V)*(ρ_L-ρ_V)) --> (13.1*((1.25781)^2)*0.071*((1.005/995)^0.1))/((1.71)*(995-1.71))

Evaluating ... ...

K₄ = 0.000434632157061385

STEP 3: Convert Result to Output's Unit

0.000434632157061385 --> No Conversion Required

FINAL ANSWER

0.000434632157061385 ≈ 0.000435 <-- Pressure Drop Correlation Factor

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Process Equipment Design » Column Design » Packed Column Designing » Pressure Drop Correlation given Vapor Mass Flux and Packing Factor

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Created by Rishi Vadodaria

Malviya National Institute Of Technology (MNIT JAIPUR ), JAIPUR

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Verified by Vaibhav Mishra

DJ Sanghvi College of Engineering (DJSCE), Mumbai

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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

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor Formula

What is the significance of Pressure Drop Correlation in Packed Column?

Understanding the pressure drop is crucial in designing packed columns. The pressure drop directly affects the energy requirements and the pumping power needed to circulate the fluids through the column.
When scaling up a process from laboratory-scale to industrial-scale, it's important to consider the pressure drop in the packed column. The correlation helps in estimating how the pressure drop will change as the column size increases, allowing for the proper design of larger-scale equipment.
In some processes, exceeding certain pressure limits can be a safety concern. The pressure drop correlation aids in setting and maintaining safe operating conditions within the column.

How to Calculate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

Pressure Drop Correlation given Vapor Mass Flux and Packing Factor calculator uses 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)) to calculate the Pressure Drop Correlation Factor, The Pressure Drop Correlation given Vapor Mass Flux and Packing Factor formula represents the characteristics of the packing material used in the column or bed. It includes parameters like the type of packing, size, shape, and surface area. Pressure Drop Correlation Factor is denoted by K₄ symbol.

How to calculate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor using this online calculator? To use this online calculator for Pressure Drop Correlation given Vapor Mass Flux and Packing Factor, enter Gas Mass Flux (V_w), Packing Factor (F_p), Fluid Viscosity in Packed Column (μ_L), Liquid Density (ρ_L) & Vapor Density in Packed Column (ρ_V) and hit the calculate button. Here is how the Pressure Drop Correlation given Vapor Mass Flux and Packing Factor calculation can be explained with given input values -> 0.000435 = (13.1*((1.25781)^2)*0.071*((1.005/995)^0.1))/((1.71)*(995-1.71)).

FAQ

What is Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

The Pressure Drop Correlation given Vapor Mass Flux and Packing Factor formula represents the characteristics of the packing material used in the column or bed. It includes parameters like the type of packing, size, shape, and surface area and is represented as K₄ = (13.1*((V_w)^2)*F_p*((μ_L/ρ_L)^0.1))/((ρ_V)*(ρ_L-ρ_V)) or 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)). Gas Mass Flux is the mass Flowrate of vapor component per unit cross sectional area of column, Packing Factor characterizes the efficiency of the packing material used in a column, 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 & Vapor Density in Packed Column is defined as the ratio of mass to the volume of vapor at particular temperature in a Packed Column.

How to calculate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor?

The Pressure Drop Correlation given Vapor Mass Flux and Packing Factor formula represents the characteristics of the packing material used in the column or bed. It includes parameters like the type of packing, size, shape, and surface area is calculated using 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)). To calculate Pressure Drop Correlation given Vapor Mass Flux and Packing Factor, you need Gas Mass Flux (V_w), Packing Factor (F_p), Fluid Viscosity in Packed Column (μ_L), Liquid Density (ρ_L) & Vapor Density in Packed Column (ρ_V). With our tool, you need to enter the respective value for Gas Mass Flux, Packing Factor, Fluid Viscosity in Packed Column, Liquid Density & Vapor Density in Packed Column 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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