Sphericity of Cylindrical Particle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sphericity of Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))
Φp = (((((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 Particle - Sphericity of Particle is a measure of how closely the shape of an object resembles that of a perfect sphere.
Cylinder Radius - (Measured in Meter) - The 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: 11 Centimeter --> 0.11 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φp = (((((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 ... ...
Φp = 0.820941472039316
STEP 3: Convert Result to Output's Unit
0.820941472039316 --> No Conversion Required
FINAL ANSWER
0.820941472039316 <-- Sphericity of Particle
(Calculation completed in 00.016 seconds)

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Created by Ishan Gupta
Birla Institute of Technology & Science (BITS), Pilani
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10+ Basics of Mechanical Operation Calculators

Sphericity of Cuboidal Particle
Sphericity of Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length)) Go
Sphericity of Cylindrical Particle
Sphericity of Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)) Go
Total Surface Area of Particle using Spericity
Total Surface Area of Particles = Mass*6/(Sphericity of Particle*Density Of Particle*Arithmetic Mean Diameter) Go
Total Number of Particles in Mixture
Total Number Of Particles In Mixture = Total Mass of Mixture/(Density Of Particle* Volume Of One Particle) Go
Sphericity of Particle
Sphericity of Particle = (6*Volume of One Particle)/(Surface Area of Particle*Equivalent Diameter) Go
Energy Required to Crush Coarse Materials according to Bond's Law
Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5) Go
Number of Particles
Number of Particles = Mixture Mass/(Density of Particle*Volume of One Particle) Go
Mass Mean Diameter
Mass Mean Diameter = add(Mass Fraction*Size Of Particles Present In Fraction) Go
Specific Surface Area of Mixture
Specific Surface Area of Mixture = Total Surface Area/Total Mass of Mixture Go
Total Surface Area of Particles
Surface Area = Surface Area of Particle*Number of Particles Go

Sphericity of Cylindrical Particle Formula

Sphericity of Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height))
Φp = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H))

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 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 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 Particle is denoted by Φp 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 Φp = (((((R)^2*H*3/4)^(1/3))^2)*4*pi)/(2*pi*R*(R+H)) or Sphericity of Particle = (((((Cylinder Radius)^2*Cylinder Height*3/4)^(1/3))^2)*4*pi)/(2*pi*Cylinder Radius*(Cylinder Radius+Cylinder Height)). The 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 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.
How many ways are there to calculate Sphericity of Particle?
In this formula, Sphericity of Particle uses Cylinder Radius & Cylinder Height. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Sphericity of Particle = (6*Volume of One Particle)/(Surface Area of Particle*Equivalent Diameter)
  • Sphericity of Particle = ((((Length*Breadth*Height)*(0.75/pi))^(1/3)^2)*4*pi)/(2*(Length*Breadth+Breadth*Height+Height*Length))
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