Porosity or Void Fraction Calculator

✖Volume of Voids in Bed is the volume of mobile phase in a column.ⓘ Volume of Voids in Bed [v₀]			+10% -10%
✖Total Volume of Bed is total volume of bed occupied by the bed plus volume occupied by solids.ⓘ Total Volume of Bed [v_B]			+10% -10%

✖Porosity or Void Fraction is a measure of the void (i.e. "empty") spaces in a material,.ⓘ Porosity or Void Fraction [ε]

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Formula

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Porosity or Void Fraction

Formula

`"ε" = "v"_{"0"}/"v"_{"B"}`

Example

`"0.066667"="0.02m³"/"0.3m³"`

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Porosity or Void Fraction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed
ε = v₀/v_B
This formula uses 3 Variables

Variables Used

Porosity or Void Fraction - Porosity or Void Fraction is a measure of the void (i.e. "empty") spaces in a material,.
Volume of Voids in Bed - (Measured in Cubic Meter) - Volume of Voids in Bed is the volume of mobile phase in a column.
Total Volume of Bed - (Measured in Cubic Meter) - Total Volume of Bed is total volume of bed occupied by the bed plus volume occupied by solids.

STEP 1: Convert Input(s) to Base Unit

Volume of Voids in Bed: 0.02 Cubic Meter --> 0.02 Cubic Meter No Conversion Required
Total Volume of Bed: 0.3 Cubic Meter --> 0.3 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε = v₀/v_B --> 0.02/0.3

Evaluating ... ...

ε = 0.0666666666666667

STEP 3: Convert Result to Output's Unit

0.0666666666666667 --> No Conversion Required

FINAL ANSWER

0.0666666666666667 ≈ 0.066667 <-- Porosity or Void Fraction

(Calculation completed in 00.004 seconds)

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Credits

Created by Qazi Muneeb

NIT Srinagar (NIT SRI), Srinagar, Kashmir

Qazi Muneeb has created this Calculator and 25+ more calculators!

Verified by Ayush gupta

University School of Chemical Technology-USCT (GGSIPU), New Delhi

Ayush gupta has verified this Calculator and 10+ more calculators!

< 5 Fluidisation Calculators

Dynamic Viscosity based on Kozeny Carman Equation

Go Dynamic Viscosity = (Pressure Gradient*(Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)/(150*(1-Porosity)^2*Velocity)

Pressure Gradient using Kozeny Carman Equation

Go Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)

Volume of Voids in Bed Based on Porosity

Go Volume of Voids in Bed = Porosity or Void Fraction*Total Volume of Bed

Total Volume of Bed Based on Porosity

Go Total Volume of Bed = Volume of Voids in Bed/Porosity or Void Fraction

Porosity or Void Fraction

Go Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed

< 21 Basic Formulas of Mechanical Operations Calculators

Sphericity of Cuboidal Particle

Go Sphericity of Cuboidal Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length))

Sphericity of Cylindrical Particle

Go Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))

Pressure Gradient using Kozeny Carman Equation

Go Pressure Gradient = (150*Dynamic Viscosity*(1-Porosity)^2*Velocity)/((Sphericity of Particle)^2*(Equivalent Diameter)^2*(Porosity)^3)

Projected Area of Solid Body

Go Projected Area of Solid Particle Body = 2*(Drag Force)/(Drag Coefficient*Density of Liquid*(Velocity of Liquid)^(2))

Total Surface Area of Particle using Spericity

Go Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter)

Terminal Settling Velocity of Single Particle

Go Terminal Velocity of Single Particle = Settling Velocity of Group of Particles/(Void fraction)^Richardsonb Zaki Index

Material Characteristic using Angle of Friction

Go Material Characteristic = (1-sin(Angle of Friction))/(1+sin(Angle of Friction))

Sphericity of Particle

Go Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)

Total Number of Particles in Mixture

Go Total Number of Particles in Mixture = Total Mass of Mixture/(Density Of Particle* Volume Of One Particle)

Energy Required to Crush Coarse Materials according to Bond's Law

Go Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)

Number of Particles

Go Number of Particles = Mixture Mass/(Density of One Particle*Volume of Spherical Particle)

Fraction of Cycle Time used for Cake Formation

Go Fraction of Cycle Time Used For Cake Formation = Time Required For Cake Formation/Total Cycle Time

Time Required for Cake Formation

Go Time Required For Cake Formation = Fraction of Cycle Time Used For Cake Formation*Total Cycle Time

Specific Surface Area of Mixture

Go Specific Surface Area of Mixture = Total Surface Area/Total Mass of Mixture

Mass Mean Diameter

Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Sauter Mean Diameter

Go Sauter Mean Diameter = (6*Volume of Particle)/(Surface Area of Particle)

Porosity or Void Fraction

Go Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed

Total Surface Area of Particles

Go Surface Area = Surface Area of One Particle*Number of Particles

Applied Pressure in Terms of Coefficient of Flowability for Solids

Go Applied Pressure = Normal Pressure/Coefficient of Flowability

Coefficient of Flowability of Solids

Go Coefficient of Flowability = Normal Pressure/Applied Pressure

Surface Shape Factor

Go Surface Shape Factor = 1/Sphericity of Particle

Porosity or Void Fraction Formula

Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed
ε = v₀/v_B

What is Fluidization?

Fluidization is a process similar to liquefaction whereby a granular material is converted from a static solid-like state to a dynamic fluid-like state. This process occurs when a fluid is passed up through the granular material.

How to Calculate Porosity or Void Fraction?

Porosity or Void Fraction calculator uses Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed to calculate the Porosity or Void Fraction, The Porosity or Void Fraction formula is a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume . Porosity or Void Fraction is denoted by ε symbol.

How to calculate Porosity or Void Fraction using this online calculator? To use this online calculator for Porosity or Void Fraction, enter Volume of Voids in Bed (v₀) & Total Volume of Bed (v_B) and hit the calculate button. Here is how the Porosity or Void Fraction calculation can be explained with given input values -> 6.7E-6 = 0.02/0.3.

FAQ

What is Porosity or Void Fraction?

The Porosity or Void Fraction formula is a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume and is represented as ε = v₀/v_B or Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed. Volume of Voids in Bed is the volume of mobile phase in a column & Total Volume of Bed is total volume of bed occupied by the bed plus volume occupied by solids.

How to calculate Porosity or Void Fraction?

The Porosity or Void Fraction formula is a measure of the void (i.e. "empty") spaces in a material, and is a fraction of the volume of voids over the total volume is calculated using Porosity or Void Fraction = Volume of Voids in Bed/Total Volume of Bed. To calculate Porosity or Void Fraction, you need Volume of Voids in Bed (v₀) & Total Volume of Bed (v_B). With our tool, you need to enter the respective value for Volume of Voids in Bed & Total Volume of Bed 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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