GRINDING LAWS The three laws of Rittinger Kick and Bond can all be derived from the follow ing relationship proposed by Charles 1957 between energy consumed and mate rial size [5] de k dn 1 y Setting the exponent n to 1 li or 2 upon integration defines the laws of Kick Bond and Rittinger respectively Of these laws
• 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 in
It is not possible to estimate accurately the power requirement of crushing and grinding equipments achieve the size reduction of a given material Thus for the same a number of empirical laws have been put fonvard such as Rittinger s law Kick s law and Bond s law • Rittingers Law Mathematically the law can be written as where
All the three laws proposed for dry grinding Kick s Rittinger s and Bond s seemed to be applicable for wet grinding However Rittinger s law showed better suitability than the other two especially for parboiled rice and mixer grinder The specific energy consumption for parboiled rice was ∼ fold greater compared to raw
Rittinger s Law states that the energy required for size reduction is proportional to the surface area created during the process This law emphasizes the relationship between the energy input and the surface area of particles indicating that smaller particles require more energy for further size reduction It is a fundamental principle in understanding size reduction operations which are
Let us apply these ideas to the derivation of an equation for the rate of grinding in a mill It follows that if as appears reasonable the change of specific surface S cm²/cm³ within a mill depends upon the diameter of the mill upon the ball diameter and upon the mean diameter of the particle D d and b respectively upon the density of the balls and the pulp q and σ
Size Specific Energy SSE differs by relating the grinding energy to the quantity of new fines generated For typical circuits that involve AG/SAG HPGR or ball milling the generation of 75 µm material denoted as SSE75 is a suitable marker size with which to benchmark performance because it contains 80% of the surface area generation 1
Download scientific diagram Specific energy vs Rittinger s grinding law parameter for the data from this study and those extracted from Mani et al 2004 Bitra et al 2009 and Adapa et al
Although it is impossible to estimate accurately the amount of energy required in order to effect a size reduction of a given material a number of empirical laws have been proposed The two earliest laws are due to Kick 7 and von Rittinger 8 and a third law due to Bond 9 10 has also been proposed
The specific grinding energy of a particular mineral is written as [18] indications are that the Rittinger expression As the initial velocity of the rebound block pendulum is zero applying Newton s law of conservation of energy
The total specific energy the energy per unit mass is expressed as 4 Bond and Rittinger laws of grinding Powder Technol 7 6 1973 pp 315 317 View PDF View article View in Scopus Google Scholar Balaz 2008 P Balaz Mechanochemistry in Nanoscience and Minerals Engineering
Transcribed Image Text Problem a Rittinger s energy law postulated that the energy expended in crushing is proportional to the area of new surface created Derive an expression relating the specific energy consumption in reducing the size of particles from x1 to x2 according to this law
Laws Governing Size Reduction 1 Rittinger s Law This states that the work required for size reduction is directly proportional to the increase in surface area It is applicable for fine grinding processes 2 Kick s Law This law expresses the energy consumption in size reduction as being proportional to the reduction ratio It is
The specific link between grinding and the texture of food matrices have been discussed Grinding technology and equipment was described according to the nature and characteristics of the food material Bond and Rittinger Laws of grinding Powder Technology 7 1973 pp 315 318 View in Scopus Google Scholar Austin et al 1984
I happen to be one of those who believe that Rittinger probably meant what he said when he wrote what Stadler has quoted the increase of the surfaces exposed is directly proportional to the force required for reducing and therefore also to the work absorbed in effecting the separations The italics are now mine instead of Rittinger s or Stadler s
This study investigates the influence of wood pellet properties on the grindability of pellets in a lab scale disc mill The pellet properties investigated included wood type moisture content internal pellet particle size distribution particle density and durability Two pellet qualities for industrial use designated I1 and I2 as per ISO 17225 2 2014 and two types of semi
where L P and L F are representative size of product particles and feed particles in millimeters respectively K R J mm g −1 is the Rittinger constant; K K J g −1 is Kick s constant; and K B J mm g −1 is the Bond The basis of the Rittinger theory is that the energy consumed for grinding is proportional to the surface area created
The relationship between the comminution energy and the product size obtained for a given feed size has been a researched extensively over the last century
The grinding law the specific energy consumed A /ton as function of the degree of grinding for instance the specific surface s cm2/g is of interest if it determines the minimum energy consumption Ami n that can be achieved at given Kirpichev Kik Bond and Rittinger; the use of Bond s law is preferable corresponding to
Material properties such as hardness and brittleness along with machine specific factors impact the energy and power requirements in comminuting Crushing Efficiency and Rittinger s Law Crushing Efficiency Crushing efficiency is a measure of how well a crushing process converts input energy into the desired size reduction
The size energy relationships in comminution have been the subject of much thought One of the first theories developed by Rittinger postulated that the energy dissipated by the process is proportional to the new surface area incorporating a fractal description of the surface area — a scaling law — to Rittinger s theory it is demonstrated that a
The final theory of particle reduction is Bond s Law that states the total work input by the weight of crushed material is inversely proportional to the square root of the diameter of the product particles Figure 7 Bond s Law functions best in between the coarse grinding of Bond s Law and the fine grinding of Rittinger s Law E √
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