Crushing Efficiency Calculator

✖Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume.ⓘ Surface Energy per Unit Area [e_s]			+10% -10%
✖Area Of Product is the area per unit mass of the milled material.ⓘ Area of Product [A_b]			+10% -10%
✖Area of Feed is the area per unit mass of the feed.ⓘ Area of Feed [A_a]			+10% -10%
✖Energy Absorbed by Material is the energy that the material particles acquires while the material is being crushed.ⓘ Energy Absorbed by Material [W_h]			+10% -10%

✖Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid .ⓘ Crushing Efficiency [η_c]

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Formula

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Crushing Efficiency

Formula

`"η"_{"c"} = ("e"_{"s"}*("A"_{"b"}-"A"_{"a"}))/"W"_{"h"}`

Example

`"0.365909"=("17.5J/m³"*("100m²"-"99.54m²"))/"22J"`

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Crushing Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material
η_c = (e_s*(A_b-A_a))/W_h
This formula uses 5 Variables

Variables Used

Crushing Efficiency - Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid .
Surface Energy per Unit Area - (Measured in Joule per Cubic Meter) - Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume.
Area of Product - (Measured in Square Meter) - Area Of Product is the area per unit mass of the milled material.
Area of Feed - (Measured in Square Meter) - Area of Feed is the area per unit mass of the feed.
Energy Absorbed by Material - (Measured in Joule) - Energy Absorbed by Material is the energy that the material particles acquires while the material is being crushed.

STEP 1: Convert Input(s) to Base Unit

Surface Energy per Unit Area: 17.5 Joule per Cubic Meter --> 17.5 Joule per Cubic Meter No Conversion Required
Area of Product: 100 Square Meter --> 100 Square Meter No Conversion Required
Area of Feed: 99.54 Square Meter --> 99.54 Square Meter No Conversion Required
Energy Absorbed by Material: 22 Joule --> 22 Joule No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_c = (e_s*(A_b-A_a))/W_h --> (17.5*(100-99.54))/22

Evaluating ... ...

η_c = 0.365909090909086

STEP 3: Convert Result to Output's Unit

0.365909090909086 --> No Conversion Required

FINAL ANSWER

0.365909090909086 ≈ 0.365909 <-- Crushing Efficiency

(Calculation completed in 00.004 seconds)

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< 13 Formulas on Size Reduction Laws Calculators

Area of Product given Crushing Efficiency

Go Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed

Area of Feed given Crushing Efficiency

Go Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))

Energy Absorbed by Material while Crushing

Go Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency)

Crushing Efficiency

Go Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material

Power Consumption by Mill while Crushing

Go Power Consumption by Mill While Crushing = Power Consumption for Crushing Only+Power Consumption While Mill is Empty

Power Consumption for Crushing only

Go Power Consumption for Crushing Only = Power Consumption by Mill While Crushing-Power Consumption While Mill is Empty

Mechanical Efficiency given Energy fed to System

Go Mechanical Efficiency in Terms of Energy Fed = Energy Absorbed By Unit Mass Of Feed/Energy Fed to Machine

Radius of Crushing Rolls

Go Radius of Crushing Rolls = (Maximum Diameter of Particle Nipped by Rolls-Half of Gap between Rolls)/0.04

Maximum Diameter of Particle Nipped by Rolls

Go Maximum Diameter of Particle Nipped by Rolls = 0.04*Radius of Crushing Rolls+Half of Gap between Rolls

Power Required by Machine for Size Reduction of Particles

Go Power Required by Machine = Work Required for Reduction of Particles*Feed Rate to Machine

Feed Rate to Machine for Size Reduction of Particles

Go Feed Rate to Machine = Power Required by Machine/Work Required for Reduction of Particles

Work required for Reduction of Particles

Go Work Required for Reduction of Particles = Power Required by Machine/Feed Rate to Machine

Reduction Ratio

Go Reduction Ratio = Feed Diameter/Product Diameter

< 19 Important Formulas in Size Reduction Laws Calculators

Half of Gaps between Rolls

Go Half of Gap between Rolls = ((cos(Half Angle of Nip))*(Radius of Feed+Radius of Crushing Rolls))-Radius of Crushing Rolls

Area of Product given Crushing Efficiency

Go Area of Product = ((Crushing Efficiency*Energy Absorbed by Material)/(Surface Energy per Unit Area*Length))+Area of Feed

Radius of Feed in Smooth Roll Crusher

Go Radius of Feed = (Radius of Crushing Rolls+Half of Gap between Rolls)/cos(Half Angle of Nip)-Radius of Crushing Rolls

Critical Speed of Conical Ball Mill

Go Critical Speed of Conical Ball Mill = 1/(2*pi)*sqrt( [g]/(Radius of Ball Mill-Radius of Ball))

Area of Feed given Crushing Efficiency

Go Area of Feed = Area of Product-((Crushing Efficiency*Energy Absorbed By Unit Mass Of Feed)/(Surface Energy per Unit Area))

Projected Area of Solid Body

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

Energy Absorbed by Material while Crushing

Go Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency)

Crushing Efficiency

Go Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material

Radius of Ball Mill

Go Radius of Ball Mill = ([g]/(2*pi*Critical Speed of Conical Ball Mill)^2)+Radius of Ball

Terminal Settling Velocity of Single Particle

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

Power Consumption while Mill is Empty

Go Power Consumption While Mill is Empty = Power Consumption by Mill While Crushing-Power Consumption for Crushing Only

Power Consumption for Crushing only

Go Power Consumption for Crushing Only = Power Consumption by Mill While Crushing-Power Consumption While Mill is Empty

Mechanical Efficiency given Energy fed to System

Go Mechanical Efficiency in Terms of Energy Fed = Energy Absorbed By Unit Mass Of Feed/Energy Fed to Machine

Radius of Crushing Rolls

Go Radius of Crushing Rolls = (Maximum Diameter of Particle Nipped by Rolls-Half of Gap between Rolls)/0.04

Maximum Diameter of Particle Nipped by Rolls

Go Maximum Diameter of Particle Nipped by Rolls = 0.04*Radius of Crushing Rolls+Half of Gap between Rolls

Work required for Reduction of Particles

Go Work Required for Reduction of Particles = Power Required by Machine/Feed Rate to Machine

Product Diameter Based on Reduction Ratio

Go Product Diameter = Feed Diameter/Reduction Ratio

Feed Diameter based on Reduction Law

Go Feed Diameter = Reduction Ratio*Product Diameter

Reduction Ratio

Go Reduction Ratio = Feed Diameter/Product Diameter

Crushing Efficiency Formula

Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material
η_c = (e_s*(A_b-A_a))/W_h

What is Size Reduction in mechanical operations?

Size reduction refers to an operation wherein particles of solids are cut or broken into smaller pieces. Size reduction is a mechanical process of breakdown of solids into smaller size particles without altering the state of aggregation of solids. It is also called comminution.

How to Calculate Crushing Efficiency?

Crushing Efficiency calculator uses Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material to calculate the Crushing Efficiency, Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid. Crushing Efficiency is denoted by η_c symbol.

How to calculate Crushing Efficiency using this online calculator? To use this online calculator for Crushing Efficiency, enter Surface Energy per Unit Area (e_s), Area of Product (A_b), Area of Feed (A_a) & Energy Absorbed by Material (W_h) and hit the calculate button. Here is how the Crushing Efficiency calculation can be explained with given input values -> 0.365909 = (17.5*(100-99.54))/22.

FAQ

What is Crushing Efficiency?

Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid and is represented as η_c = (e_s*(A_b-A_a))/W_h or Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material. Surface Energy per Unit Area is the excess energy at the surface of a material compared to its volume, Area Of Product is the area per unit mass of the milled material, Area of Feed is the area per unit mass of the feed & Energy Absorbed by Material is the energy that the material particles acquires while the material is being crushed.

How to calculate Crushing Efficiency?

Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid is calculated using Crushing Efficiency = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/Energy Absorbed by Material. To calculate Crushing Efficiency, you need Surface Energy per Unit Area (e_s), Area of Product (A_b), Area of Feed (A_a) & Energy Absorbed by Material (W_h). With our tool, you need to enter the respective value for Surface Energy per Unit Area, Area of Product, Area of Feed & Energy Absorbed by Material 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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