Sphericity of Particle Calculator

✖Volume of One Spherical Particle is the capacity of a single particle or the volume occupied by one particle.ⓘ Volume of One Spherical Particle [V_s]			+10% -10%
✖Surface Area of Particle is a measure of the total area that the surface of the object occupies.ⓘ Surface Area of Particle [S_particle]			+10% -10%
✖Equivalent diameter is the diameter equivalent to the given value.ⓘ Equivalent Diameter [De]			+10% -10%

✖Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.ⓘ Sphericity of Particle [Φ_p]

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Formula

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Sphericity of Particle

Formula

`"Φ"_{"p"} = (6*"V"_{"s"})/("S"_{"particle"}*"De")`

Example

`"18.46154"=(6*"17.6m³")/("10.4m²"*"0.55m")`

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Sphericity of Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)
Φ_p = (6*V_s)/(S_particle*De)
This formula uses 4 Variables

Variables Used

Sphericity of Particle - Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.
Volume of One Spherical Particle - (Measured in Cubic Meter) - Volume of One Spherical Particle is the capacity of a single particle or the volume occupied by one particle.
Surface Area of Particle - (Measured in Square Meter) - Surface Area of Particle is a measure of the total area that the surface of the object occupies.
Equivalent Diameter - (Measured in Meter) - Equivalent diameter is the diameter equivalent to the given value.

STEP 1: Convert Input(s) to Base Unit

Volume of One Spherical Particle: 17.6 Cubic Meter --> 17.6 Cubic Meter No Conversion Required
Surface Area of Particle: 10.4 Square Meter --> 10.4 Square Meter No Conversion Required
Equivalent Diameter: 0.55 Meter --> 0.55 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_p = (6*V_s)/(S_particle*De) --> (6*17.6)/(10.4*0.55)

Evaluating ... ...

Φ_p = 18.4615384615385

STEP 3: Convert Result to Output's Unit

18.4615384615385 --> No Conversion Required

FINAL ANSWER

18.4615384615385 ≈ 18.46154 <-- Sphericity of Particle

(Calculation completed in 00.004 seconds)

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Created by Ishan Gupta

Birla Institute of Technology & Science (BITS), Pilani

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< 5 Sphericity of Particles 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))

Surface Area of One Particle given Sphericity

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

Sphericity of Particle

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

Surface Shape Factor

Go Surface Shape Factor = 1/Sphericity of Particle

< 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

Sphericity of Particle Formula

Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter)
Φ_p = (6*V_s)/(S_particle*De)

Sphericity of a Particle

Sphericity of a particle is a measure of how closely the shape of that particle resembles that of a perfect sphere.

What is Particle Shape?

Particle shape is defined by the relative dimensions of the long, intermediate, and short axes of the particle. The ratio of intermediate to long diameter and the ratio of short to intermediate diameter is used to define four shape classes.

How to Calculate Sphericity of Particle?

Sphericity of Particle calculator uses Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter) to calculate the Sphericity of Particle, Sphericity of Particle is a measure of how closely the shape of that particle resembles that of a perfect sphere. Sphericity has a maximum value of 1, which corresponds to a particle with a perfectly spherical shape. The smaller its value, the lesser its resemblance to a sphere. Sphericity of Particle is denoted by Φ_p symbol.

How to calculate Sphericity of Particle using this online calculator? To use this online calculator for Sphericity of Particle, enter Volume of One Spherical Particle (V_s), Surface Area of Particle (S_particle) & Equivalent Diameter (De) and hit the calculate button. Here is how the Sphericity of Particle calculation can be explained with given input values -> 18.46154 = (6*17.6)/(10.4*0.55).

FAQ

What is Sphericity of Particle?

Sphericity of Particle is a measure of how closely the shape of that particle resembles that of a perfect sphere. Sphericity has a maximum value of 1, which corresponds to a particle with a perfectly spherical shape. The smaller its value, the lesser its resemblance to a sphere and is represented as Φ_p = (6*V_s)/(S_particle*De) or Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter). Volume of One Spherical Particle is the capacity of a single particle or the volume occupied by one particle, Surface Area of Particle is a measure of the total area that the surface of the object occupies & Equivalent diameter is the diameter equivalent to the given value.

How to calculate Sphericity of Particle?

Sphericity of Particle is a measure of how closely the shape of that particle resembles that of a perfect sphere. Sphericity has a maximum value of 1, which corresponds to a particle with a perfectly spherical shape. The smaller its value, the lesser its resemblance to a sphere is calculated using Sphericity of Particle = (6*Volume of One Spherical Particle)/(Surface Area of Particle*Equivalent Diameter). To calculate Sphericity of Particle, you need Volume of One Spherical Particle (V_s), Surface Area of Particle (S_particle) & Equivalent Diameter (De). With our tool, you need to enter the respective value for Volume of One Spherical Particle, Surface Area of Particle & Equivalent Diameter 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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