Sphericity of Cylindrical Particle Calculator

✖Cylinder Radius is the radius of its base.ⓘ Cylinder Radius [R]			+10% -10%
✖Cylinder Height is the shortest distance between the 2 bases of a cylinder.ⓘ Cylinder Height [H]			+10% -10%

✖Sphericity of Cylindrical Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.ⓘ Sphericity of Cylindrical Particle [Φ_{cylindricalparticle}]

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Formula

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Sphericity of Cylindrical Particle

Formula

`"Φ"_{"cylindricalparticle"} = ((((("R")^2*"H"*3/4)^(1/3))^2)*4*pi)/(2*pi*"R"*("R"+"H"))`

Example

`"0.820941"=((((("0.025m")^2*"0.11m"*3/4)^(1/3))^2)*4*pi)/(2*pi*"0.025m"*("0.025m"+"0.11m"))`

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Sphericity of Cylindrical Particle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))
Φ_{cylindricalparticle} = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Sphericity of Cylindrical Particle - Sphericity of Cylindrical Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.
Cylinder Radius - (Measured in Meter) - Cylinder Radius is the radius of its base.
Cylinder Height - (Measured in Meter) - Cylinder Height is the shortest distance between the 2 bases of a cylinder.

STEP 1: Convert Input(s) to Base Unit

Cylinder Radius: 0.025 Meter --> 0.025 Meter No Conversion Required
Cylinder Height: 0.11 Meter --> 0.11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ_{cylindricalparticle} = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H)) --> (((((0.025)^2*0.11*3/4)^(1/3))^2)*4*pi)/(2*pi*0.025*(0.025+0.11))

Evaluating ... ...

Φ_{cylindricalparticle} = 0.820941472039316

STEP 3: Convert Result to Output's Unit

0.820941472039316 --> No Conversion Required

FINAL ANSWER

0.820941472039316 ≈ 0.820941 <-- Sphericity of Cylindrical Particle

(Calculation completed in 00.020 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 Cylindrical Particle Formula

Sphericity of a cylindrical particle

Sphericity of a cylindrical particle gives us an estimate of how closely it resembles a sphere. The closer it is to 1, the more it will resemble a sphere.

What is Particle Shape?

Particle form is the overall shape of particles, typically defined in terms of the relative lengths of the longest, shortest, and intermediate axes. Particles can be spherical, prismatic, or bladelike.

How to Calculate Sphericity of Cylindrical Particle?

Sphericity of Cylindrical Particle calculator uses Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)) to calculate the Sphericity of Cylindrical Particle, Sphericity of Cylindrical Particle gives the sphericity of a cylindrical particle by dividing the total surface area of an equivalent diameter sphere by the total surface area of the cylinder. Sphericity of Cylindrical Particle is denoted by Φ_{cylindricalparticle} symbol.

How to calculate Sphericity of Cylindrical Particle using this online calculator? To use this online calculator for Sphericity of Cylindrical Particle, enter Cylinder Radius (R) & Cylinder Height (H) and hit the calculate button. Here is how the Sphericity of Cylindrical Particle calculation can be explained with given input values -> 0.820941 = (((((0.025)^2*0.11*3/4)^(1/3))^2)*4*pi)/(2*pi*0.025*(0.025+0.11)).

FAQ

What is Sphericity of Cylindrical Particle?

Sphericity of Cylindrical Particle gives the sphericity of a cylindrical particle by dividing the total surface area of an equivalent diameter sphere by the total surface area of the cylinder and is represented as Φ_{cylindricalparticle} = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H)) or Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)). Cylinder Radius is the radius of its base & Cylinder Height is the shortest distance between the 2 bases of a cylinder.

How to calculate Sphericity of Cylindrical Particle?

Sphericity of Cylindrical Particle gives the sphericity of a cylindrical particle by dividing the total surface area of an equivalent diameter sphere by the total surface area of the cylinder is calculated using Sphericity of Cylindrical Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)). To calculate Sphericity of Cylindrical Particle, you need Cylinder Radius (R) & Cylinder Height (H). With our tool, you need to enter the respective value for Cylinder Radius & Cylinder Height 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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