Energy Required to Crush Coarse Materials according to Bond's Law Calculator

✖Work Index always means the equivalent amount of energy to reduce one ton of the ore from a very large size to 100 um. Just as the meter is used to measure and compare distances.ⓘ Work Index [W_i]			+10% -10%
✖Product Diameter is the diameter of the sieve aperture that allows 80% of the mass of the ground material to pass.ⓘ Product Diameter [d₂]			+10% -10%
✖Feed Diameter is the diameter of the sieve aperture that allows 80% of the mass of the feed to pass.ⓘ Feed Diameter [d₁]			+10% -10%

✖Energy per Unit Mass of Feed is the energy required to process one unit mass of feed for given operation.ⓘ Energy Required to Crush Coarse Materials according to Bond's Law [E]

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Formula

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Energy Required to Crush Coarse Materials according to Bond's Law

Formula

E = W i \cdot ({(\frac{100}{d 2})}^{0.5} - {(\frac{100}{d 1})}^{0.5})

Example

22.15064 J/kg = 11.6 J/kg \cdot ({(\frac{100}{1.9 m})}^{0.5} - {(\frac{100}{3.5 m})}^{0.5})

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Energy Required to Crush Coarse Materials according to Bond's Law Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)
E = W_i*((100/d₂)^0.5-(100/d₁)^0.5)
This formula uses 4 Variables

Variables Used

Energy per Unit Mass of Feed - (Measured in Joule per Kilogram) - Energy per Unit Mass of Feed is the energy required to process one unit mass of feed for given operation.
Work Index - (Measured in Joule per Kilogram) - Work Index always means the equivalent amount of energy to reduce one ton of the ore from a very large size to 100 um. Just as the meter is used to measure and compare distances.
Product Diameter - (Measured in Meter) - Product Diameter is the diameter of the sieve aperture that allows 80% of the mass of the ground material to pass.
Feed Diameter - (Measured in Meter) - Feed Diameter is the diameter of the sieve aperture that allows 80% of the mass of the feed to pass.

STEP 1: Convert Input(s) to Base Unit

Work Index: 11.6 Joule per Kilogram --> 11.6 Joule per Kilogram No Conversion Required
Product Diameter: 1.9 Meter --> 1.9 Meter No Conversion Required
Feed Diameter: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = W_i*((100/d₂)^0.5-(100/d₁)^0.5) --> 11.6*((100/1.9)^0.5-(100/3.5)^0.5)

Evaluating ... ...

E = 22.1506368890789

STEP 3: Convert Result to Output's Unit

22.1506368890789 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

22.1506368890789 ≈ 22.15064 Joule per Kilogram <-- Energy per Unit Mass of Feed

(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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< Basic Formulas Calculators

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)

Mass Mean Diameter

Go Mass Mean Diameter = (Mass Fraction*Size Of Particles Present In Fraction)

Total Surface Area of Particles

Go Surface Area = Surface Area of One Particle*Number of Particles

< Basic Formulas of Mechanical Operations Calculators

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)

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)

Energy Required to Crush Coarse Materials according to Bond's Law Formula

Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5)
E = W_i*((100/d₂)^0.5-(100/d₁)^0.5)

Energy Required to Crush Coarse Materials according to Bond's Law

Energy Required to Crush Coarse Materials according to Bond's Law calculates the energy needed to crush raw materials such that 80% of the product pass through a sieve aperture of product diameter.

Bond’s theory states that the energy used in crack
propagation is proportional to the new crack length produced.

Application: This law is useful in rough mill sizing. The work
index is useful in comparing the efficiency of milling
operations.

How to Calculate Energy Required to Crush Coarse Materials according to Bond's Law?

Energy Required to Crush Coarse Materials according to Bond's Law calculator uses Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5) to calculate the Energy per Unit Mass of Feed, Energy Required to Crush Coarse Materials according to Bond's Law calculates the energy needed to crush raw materials such that 80% of the product pass through a sieve aperture of product diameter. Energy per Unit Mass of Feed is denoted by E symbol.

How to calculate Energy Required to Crush Coarse Materials according to Bond's Law using this online calculator? To use this online calculator for Energy Required to Crush Coarse Materials according to Bond's Law, enter Work Index (W_i), Product Diameter (d₂) & Feed Diameter (d₁) and hit the calculate button. Here is how the Energy Required to Crush Coarse Materials according to Bond's Law calculation can be explained with given input values -> 22.15064 = 11.6*((100/1.9)^0.5-(100/3.5)^0.5).

FAQ

What is Energy Required to Crush Coarse Materials according to Bond's Law?

Energy Required to Crush Coarse Materials according to Bond's Law calculates the energy needed to crush raw materials such that 80% of the product pass through a sieve aperture of product diameter and is represented as E = W_i*((100/d₂)^0.5-(100/d₁)^0.5) or Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5). Work Index always means the equivalent amount of energy to reduce one ton of the ore from a very large size to 100 um. Just as the meter is used to measure and compare distances, Product Diameter is the diameter of the sieve aperture that allows 80% of the mass of the ground material to pass & Feed Diameter is the diameter of the sieve aperture that allows 80% of the mass of the feed to pass.

How to calculate Energy Required to Crush Coarse Materials according to Bond's Law?

Energy Required to Crush Coarse Materials according to Bond's Law calculates the energy needed to crush raw materials such that 80% of the product pass through a sieve aperture of product diameter is calculated using Energy per Unit Mass of Feed = Work Index*((100/Product Diameter)^0.5-(100/Feed Diameter)^0.5). To calculate Energy Required to Crush Coarse Materials according to Bond's Law, you need Work Index (W_i), Product Diameter (d₂) & Feed Diameter (d₁). With our tool, you need to enter the respective value for Work Index, Product Diameter & Feed 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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