Several empirical laws Governing Size Reduction describe the energy required for size reduction.
Rittinger’s Law:
Suggests that the energy required for size reduction is directly proportional to the new surface area generated.
$E = K_R \left( \frac{1}{D_1} – \frac{1}{D_2} \right)
$
- Where;
- E = energy required
- Kr = Rittinger’s constant
- D1 = initial particle size
- D2 = final particle size
- Applicable for fine grinding where the creation of new surface area is significant.
Demo Ad
This is a sample ad placement!
This is a sample ad placement!
Kick’s Law:
Proposes that the energy required for size reduction is proportional to the size reduction ratio.
$E = K_K \ln\left( \frac{D_1}{D_2} \right)$
- Where;
- E = energy required
- Kk = Kick’s constant
- D1 = initial particle size
- D2 = final particle size
- Best for coarse crushing where the size reduction ratio is small
Bond’s Law:
Combines the aspects of Rittinger’s and Kick’s laws and states that the energy required is proportional to the reduction in particle size based on the work index of the material.
-
$E = K_B \left( \frac{1}{\sqrt{D_1}} – \frac{1}{\sqrt{D_2}} \right)$
- Where;
- E = energy required
- Kb = Bond’s constant
- D1 = initial particle size
- D2 = final particle size
- Suitable for intermediate grinding processes.
Demo Ad
This is a sample ad placement!
This is a sample ad placement!
Thank you for reading from Firsthope's notes, don't forget to check YouTube videos!
