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 C.51 : &=-kg Yn Setting the exponent n to 1, 11 or 2 upon integration defines the laws of Kick, Bond and Rittinger respectively.

5% of ALL electricity generated is used for grinding Efficiency of grinding processes 1-5% Unfortunately models available too empirical. Three postulates for predicting energy requirements: Rittinger, kick, Bond Highly empirical Varying levels of success.

It has been found, experimentally, that for the grinding of coarse particles in which the increase in surface area per unit mass is relatively small, Kick's Law is a reasonable approximation. For the size reduction of fine powders, on the other hand, in which large areas of new surface are being created, Rittinger's Law fits

Ta bl e 4 Slopes and coef ficients of determina tion of the three grinding equat ions: Kick, Rittinger, and Bond for grinding pi ne Form of equatio ns Kick ' se q u a t i o n, n = 1 Rittinger ...

rittinger law specific grinding machine, stone quarry ... A commentary on the Kick, Bond and Rittinger laws of grinding. A commentary on the Kick, Bond and Rittinger laws of grinding. ... Rittinger's law is logical if the specific energy is defined as that necessary to supply the ... Inquire Now; theory of crushing and grinding grandcentralcafe ...

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. Kick's law, more closely relates to the energy required to effect elastic deformation before fracture occurs, and is more accurate than ...

Hydrometallurgists must regret to see Rittinger's law disproved, for surface exposed is, in general, a measure of the accessibility of solutions to ore; and this rule also ceases to approximate the truth only when the finest sizes are reached. If the premises are sound the author has evidently proved the case for Stadler's Energy Units.

Equation (11.3) is known as Rittinger's Law. As the specific surface of a particle, the surface area per unit mass, is proportional to 1/ L, eqn. (11.3) postulates that the energy required to reduce L for a mass of particles from 10 cm to 5 cm would be the same as that required to reduce, for example, the same mass of 5 mm particles down to 4 ...

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 …

In this study, the grinding kinetics and the flowability of balloon flowers (BFs) with various moisture contents (8, 12, and 20%) were determined. Three semi-empirical grinding models (Bond, Kick, and Rittinger) were applied to describe the BFs' grinding process. A lower moisture content resulted in a decreased grinding constant value (Bond's index). Based on the …

Fick's law Rittinger's law none of these ⇒ Particle size range in which dust catcher (gravity settling chamber) works most effectively and efficiently is _____ microns. < 5 10 to 25 < 74 > 1000 ⇒ _____ are used for the separation of coarse particles from a slurry of fine particles. Thickeners Classifiers Hydrocyclones Decanters

Analysis of grinding kinetics to control the effect of rice flour particle size on the yield of alcohol and glucose during fermentation Analysis of grinding kinetics to control the effect of rice flour particle size on the yield of... Song, Sang‐Hoon; Lee, Myeong‐Gi; Lee, Hyong‐Joo; Yoon, Won‐Byong 00:00:00

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 and Bond's law is intermediate between these two. However, equations (4.2) and (4.3) were developed from studies of hard materials (coal and ...

Rittinger's Law — The energy required for reduction in particle size of a solid is directly proportional to the increase in surface area. …As noted by Ehmer, there is an inverse relationship between size and strength of particles: as particles get smaller, their strength increases.

Three semi-empirical grinding models (Bond, Kick, and Rittinger) were applied to describe the BFs' grinding process. A lower moisture content resulted in a decreased grinding constant value (Bond's index). Based on the kinetics of particles during grinding, a sigmoid model was developed which successfully described changes in the particle sizes ...

Equation (11.3) is known as Rittinger's Law. As the specific surface of a particle, the surface area per unit mass, is proportional to 1/ L, eqn. (11.3) postulates that the energy required to reduce L for a mass of particles from 10 …

Bond's theory •Bond's theory states that the energy used in crack propagation is proportional to the new crack length produced. •where, E = energy required f or size reduction KB = Bond's work index di = initial diameter of particles dn = final diameter of particles

• 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 surface area of the pieces of food • E = K R 1 1 D. p. D. f • K. R ...

Rittinger's law [5] states that the energy required for size reduction is proportional to the change in surface area of the particles. Rittinger's law gives better results with fi ne grinding where there is a much larger increase in surface area. According to Rittinger [5], the D and d should be calculated as follows: 1 j j D G D = ∑, (6 ...

Which of the following crushing laws is most accurately applicable to the fine grinding of materials ? A. Bond's crushing law. B. Kick's law. C. Rittinger's law. D.

The cost of power is a major expense in crushing and grinding, so the factors that control this cost are important. Importance of Cost A crushing law proposed by Rittinger in 1867 states that the work required in crushing is proportional to the new surface created. This "law," which is really no more than a hypothesis, is

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 to ...

Von Rittinger for d 0.05 mm; with W as grinding work in kJ/kg, c as grinding coefficient, d A as grain size of the source material and d E as grain size of the ground material. A reliable value for the grain sizes d A and d E is d 80. This value signifies that 80% (mass) ...

Rittinger's law: work required in crushing is proportional to the new surface created P = power required P m. K r 1 D sb 1 D sa a= feed rate m Ý = volume-surface mean dia. of feed & product, respectively D sa,D sb K r = Rittinger's coefficient K r 6e s c m p 1 b 1

All the three classical models such as Rittinger's, Kick's and Bond's law were found suitable to explain the energy consumption for grinding. Energy consumption increased exponentially with decrease in classifying screen size of hammer mill. The Work index for grinding increased with increase in size reduction ratios and were in the range ...

Rittinger's number designates the new surface created per unit mechanical energy absorbed by the material being crushed. Larger value of Rittinger's number of a material indicates its a) Easier grindability b) Poor grindability c) High power consumption in grinding d) None of these

Rittinger's number designates the new surface created per unit mechanical energy absorbed by the material being crushed. Larger value of Rittinger's number of a material indicates its: A. easier grindability: B. poor grindability: C. high power consumption in grinding: D. none of these