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# rittingers law fine grinding

### Rittinger an overview ScienceDirect Topics

Rittinger. Rittinger's law is applicable mainly to that part of the process where new surface is being created and holds most accurately for fine grinding where the increase in surface per unit mass of material is large. From: Chemical Engineering PDF Laboratory-scale fine grinding tests remain the most practical method of assessing material grindability and predicting energy requirements for Find, (PDF) MODIFIED BOND AND RITTINGER ENERGY-SIZE

احصل على السعر### CHAPTER 11 SIZE REDUCTION NZIFST

GRINDING AND CUTTING Grinding and cutting reduce the size of solid materials by mechanical action, dividing them into smaller particles. Perhaps the most extensive Neither of these two laws permits an accurate calculation of the energy requirements. Rittinger's law is applicable mainly to that part of the process where new Particle Size Reduction and Enlargement ScienceDirect

احصل على السعر### A commentary on the Kick, Bond and Rittinger laws of grinding

Confusion concerning the so-called general law of grinding proposed by Walker et al. is removed when it is realised that two forms of the law exist, quite different First Online: 23 March 2022 636 Accesses Abstract In this chapter, the mechanism and factors affecting size reduction process and the laws governing these operations are Size Reduction SpringerLink

احصل على السعر### How it Works: Crushers, Grinding Mills and Pulverizers

Rittinger’s Law states that the energy required in size reduction is proportional to the new surface created by the particle fragmentation. The equation for Rittinger’s law has been found to hold better for fine grinding, where a large increase in surface results. 2.2 Kick’s Law. Kick reckoned that the energy required Size Reduction SpringerLink

احصل على السعر### Grinding characteristics and energy consumption in cryogenic and

The grinding time was found to increase from 57.6 ± 0.01 to 180 ± 0.08 s, whereas feed rate was found to decrease from 6.25 ± 0.07 to 2.00 ± 0.12 kg h −1 with Rittinger’s theory and law of the energy expended in crushing of rock is that the work of crushing is proportional to the reduction in diameter; or, as I have more fully expressed it: “The work done in Rock Crushing Theory and Formula using Kick &

احصل على السعر### 11 Crushing and classification

Bond's Work Index values, in kWh per short ton: i.e. 2000 lbs or 907 kg, roughly follow the Moh's scale of hardness, see Table 11.1. In Summary, Kick's law is better for larger particles and Rittinger's for fine grinding, see Figure11.5. Large particles are easier to break than smaller ones as they have more cracks and faults. Often the lawsHukki (1962) said that the general formula for the comminution process came from Eq. (1) proposed by Walker et al. (1937). All three theories can be applied for a certain range of particle size: Kick’s Law for coarse size particles (for crushing), Bond’s Law for medium size particles, and Rittinger’s Law for fine grinding.A new methodology to obtain a corrected Bond ball mill work

احصل على السعر### Grinding characteristics and energy consumption in cryogenic and

These theories or models have made the study of energy consumption pattern of a machine easier. These models propose good results, Kick's law is used to understand energy requirements during coarse grinding, Bond's law for intermediate grinding and Rittinger's law for fine grinding [22].Rittinger’s law is more suitable where there is a large increase in surface area such as in fine grinding. 6.6.2 Kick’s Law Kick (1885) assumed that the energy required for size reduction is directly proportional to the change in dimension and n is assumed as −1.Size Reduction SpringerLink

احصل على السعر### The average size of ground particles d 1 d 2 the size Course Hero

1 2 100 100 d d W E • Kick’s law gives reasonably good results for coarse grinding in which there is a relatively small increase in surface area per unit mass. • Rittinger’s law gives better results with fine grinding where there is a much larger increase in surface area • Bond’s law is intermediate between these two.Very fine grinding can be impeded by the tendency of some relatively soft materials, including gypsum and some limestones, Rittinger's law is applicable mainly to that part of the process where new surface is being created and holds most accurately for fine grinding where the increase in surface per unit mass of material is large.Particle Size Reduction and Enlargement ScienceDirect

احصل على السعر### CPE: Lesson 15. Empirical laws of Size Reduction e-Krishi Shiksha

Rittinger’s law has been found to hold better for fine grinding, where a large increase in surface results. It suggests that the energy required is proportional to the increase in surface area per unit mass. 15.2 Kick’s lawBond’s Law functions best in between the coarse grinding of Bond’s Law and the fine grinding of Rittinger’s Law. E = Energy required per mass of material being ground W = Bond Work Index required to reduce a unit of weight d1 = Average size of initial pieces d2 = Average size of ground particles Figure 7. Bond’s Law. ConclusionsPrinciples of Sample Preparation by Grinding or Comminution

احصل على السعر### Size reduction PPT SlideShare

Processes which depend primarily forces to accomplish the desired separation of components Rittinger’s Law He considered that for the grinding of solids, the energy required should be proportional to the new surface produced, The power n the value of 2, Thus obtaining the so-called Rittinger’s law by integration of Eq. E is the energy Comminution is the reduction of solid materials from one average particle size to a smaller average particle size, by crushing, grinding, cutting, vibrating, or other processes. In geology, it occurs naturally during faulting in the upper part of the Earth's crust. In industry, it is an important unit operation in mineral processing, ceramics, electronics, and other Comminution

احصل على السعر### Influence of wood pellets properties on their grinding performance

Von Rittinger’s comminution law was used to characterize the pellet grindability. Drying pellets increased their brittleness and improved their grindability, resulting in both grinding energy savings and a higher milled product fineness, and the impact of drying was larger for industrial pellets.Confusion concerning the so-called general law of grinding proposed by Walker et al. is removed when it is realised that two forms of the law exist, quite different in physical meaning. The Kick and Rittinger laws are special cases of one form, and Bonds law is a special case of the other. Thus it is possible for Rittinger's and Bond's laws toA commentary on the Kick, Bond and Rittinger laws of grinding

احصل على السعر### How Material Size Directly Affects Size Reduction Energy

Bond’s Law: The work required to form particles from very large feed is proportional to the square root of the surface-to-volume ratio. E = KBfc [ (1/L2)1/2- (1/L1)1/2] Rittinger’s Law — The energy required for reduction in particle size of a solid is directly proportional to the increase in surface area. E = KRfc(1/L2– 1/L1)The popular models are those of Rittinger [4], Bond [5] and Kick [6]. While the Bond and Kick models are mostly employed for coarse and intermediate size grinding, the Rittinger model is better suited for fine comminution [7]. This model assumes a linear relation between the specific surface area per unit of mass S m of the powder and the energyEvolution of grinding energy and particle size during dry ball

احصل على السعر### CHAPTER 20: SIZE REDUCTION EQUIPMENT FOR SIZE

• Coarse grinding has RRs below 8:1 • Fine grinding can exceed 100:1 • Grinding of coarse particles in which the increase in surface area per unit mass is relatively small, Kick's Law is a reasonable approximation • Rittinger’s law States that the energy required for size reduction is proportional to the change inRittinger’s Law He considered that for the grinding of solids, the energy required should be proportional to the new surface produced, The power n the value of 2, Thus obtaining the so-called Rittinger’s law by integration of Eq. E is the energy per unit mass required for the production of a new surface by reduction K is called RittingerUNIT 3 SIZE REDUCTION.pptx SlideShare

احصل على السعر### Theory of Size Reduction Food Tech Notes

Rittinger’s law is applicable mainly to that part of process where new surface is being created and hold most accurately for fine grinding where the increase in surface per unit mass of material is predominant. Thus, it gives better results for fine grinding where there is much larger change in surface area.situations where it is not appropriate, such as fine grinding below 50 µm. Using an alternative model would be a better choice in this situation. Bond's equation is one in a large family of models. Related equations better suited to fine grinding include the “signature plot”, Von Rittinger's model and Charles' equation. These models have aFine Grinding A Refresher Metallurgist & Mineral Processing

احصل على السعر### How it Works: Crushers, Grinding Mills and Pulverizers

Rittinger’s Law states that the energy required in size reduction is proportional to the new surface created by the particle fragmentation. The equation for Rittinger’s Law can be written as: E = K R f c (1/L 2 1/L 1) Where: E=Energy, K R =Rittinger’s Constant, f c =crushing strength of the material, L 1 =initial length, and L 2

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