Energy Absorbed by Material while Crushing 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%
✖Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid .ⓘ Crushing Efficiency [η_c]			+10% -10%

✖Energy Absorbed by Material is the energy that the material particles acquires while the material is being crushed.ⓘ Energy Absorbed by Material while Crushing [W_h]

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Formula

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Energy Absorbed by Material while Crushing

Formula

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

Example

`"20.125J"=("17.5J/m³"*("100m²"-"99.54m²"))/("0.40")`

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Energy Absorbed by Material while Crushing Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Crushing Efficiency - Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid .

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
Crushing Efficiency: 0.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_h = (e_s*(A_b-A_a))/(η_c) --> (17.5*(100-99.54))/(0.4)

Evaluating ... ...

W_h = 20.1249999999997

STEP 3: Convert Result to Output's Unit

20.1249999999997 Joule --> No Conversion Required

FINAL ANSWER

20.1249999999997 ≈ 20.125 Joule <-- Energy Absorbed by Material

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Mechanical Operations » Size Reduction Laws » Formulas on Size Reduction Laws » Energy Absorbed by Material while Crushing

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NIT Srinagar (NIT SRI), Srinagar, Kashmir

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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

Energy Absorbed by Material while Crushing Formula

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

What is Bond's law?

Bond's Law states that the work required to form particles from very large feed is proportional to the square root of the surface-to-volume ratio.

How to Calculate Energy Absorbed by Material while Crushing?

Energy Absorbed by Material while Crushing calculator uses Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency) to calculate the Energy Absorbed by Material, The Energy Absorbed by Material while Crushing formula is defined as the energy that is absorbed by the unit mass of feed while its size is being reduced in a crusher. Energy Absorbed by Material is denoted by W_h symbol.

How to calculate Energy Absorbed by Material while Crushing using this online calculator? To use this online calculator for Energy Absorbed by Material while Crushing, enter Surface Energy per Unit Area (e_s), Area of Product (A_b), Area of Feed (A_a) & Crushing Efficiency (η_c) and hit the calculate button. Here is how the Energy Absorbed by Material while Crushing calculation can be explained with given input values -> 20.125 = (17.5*(100-99.54))/(0.4).

FAQ

What is Energy Absorbed by Material while Crushing?

The Energy Absorbed by Material while Crushing formula is defined as the energy that is absorbed by the unit mass of feed while its size is being reduced in a crusher and is represented as W_h = (e_s*(A_b-A_a))/(η_c) or Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency). 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 & Crushing Efficiency is defined as the ratio of surface energy created by crushing to the energy absorbed by the solid .

How to calculate Energy Absorbed by Material while Crushing?

The Energy Absorbed by Material while Crushing formula is defined as the energy that is absorbed by the unit mass of feed while its size is being reduced in a crusher is calculated using Energy Absorbed by Material = (Surface Energy per Unit Area*(Area of Product-Area of Feed))/(Crushing Efficiency). To calculate Energy Absorbed by Material while Crushing, you need Surface Energy per Unit Area (e_s), Area of Product (A_b), Area of Feed (A_a) & Crushing Efficiency (η_c). With our tool, you need to enter the respective value for Surface Energy per Unit Area, Area of Product, Area of Feed & Crushing Efficiency 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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