Successfully reported this slideshow.
We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. You can change your ad preferences anytime.
Upcoming SlideShare
×

of

Upcoming SlideShare
size reduction
Next

36

Share

# Size reduction theories

See all

See all

### Size reduction theories

1. 1. The energy requirement for particle size reduction is a function of input and output of particle size, hardness, strength and other properties of solids.
2. 2. Various theories for energy requirement are: Rittinger’s theory  Kick’s theory  Bond’s theory.
3. 3.
4. 4.  Integrating equation (1), E= C ln(di/dn) …. (2) (di/dn) = reduction ratio. If n=1.0 equation (2) becomes Kick’s theory. If n=1.5 equation (2) becomes Bond’s theory. If n=2.0 equation (2) becomes Rittinger’s theory.
5. 5. According to this theory energy E required for size reduction of unit mass is directly proportional to the new surface area produced. E=KR (Sn – Si) Where Si = initial surface area Sn = new specific surface area KR = Rittinger’s constant. E= amount of energy. …. (3)
6. 6. Applications: Applicable to brittle materials undergoing fine milling.  This theory ignore deformation before fracture.
7. 7.
8. 8.    Bond’s work index is the work required to reduce unit weight from a theoretical infinite size to 80% passing 100µm. This theory is useful for rough mill sizing. The work index is useful for comparing efficiency of milling operations.
9. 9.
10. 10.  For compression of large particles kick’s theory is useful.
11. 11.  Rittinger’s theory:- (n=2.0) Energy α new surface area formed. Bond’s theory:- (n=1.5) Energy used in crack propagation α Crack length produced.   Kick’s theory:- (n=1.0) Energy α Ratio of change in size.
• #### BASAVARAJGOREBAL

Mar. 17, 2021

Feb. 3, 2021
• #### AlaspuriDivyasri

Nov. 22, 2020
• #### RimshaHameed4

Sep. 29, 2020
• #### Snehajames40

Sep. 27, 2020
• #### MayurShinde99

Aug. 12, 2020
• #### norselynlidasan

Apr. 25, 2020
• #### MuskanGoyal46

Jan. 26, 2020

Oct. 20, 2019
• #### BAravind4

Sep. 22, 2019
• #### ZakirSheikh2

Sep. 22, 2019
• #### VivekTiwari114

Jul. 30, 2019
• #### GulfishaShaikh

Jul. 24, 2019
• #### MuthuAnnamalai7

Jan. 27, 2019
• #### EviLweevilLass

Nov. 11, 2018

Nov. 9, 2018
• #### TariniDebajyotiSethi

Sep. 17, 2018
• #### SudhakerAlwala

Aug. 30, 2018
• #### WaiPhyoKyaw3

Aug. 16, 2018

Aug. 6, 2018

Total views

22,281

On Slideshare

0

From embeds

0

Number of embeds

17

763

Shares

0