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3minution.ppt - Comminution Rittingeru2019s Kick ...

View 3minution.ppt from METE 111 at Mindanao State University - Iligan Institute of Technology. Comminution Rittinger's, Kick's and Bond's Laws Crushing and …

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grinding unit smaller - sikulkove.cz

• 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

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Grinding Mills - Grinding Laws | Technology Trends

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) ...

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Topic 2_Size reduction and particle size determination.pdf ...

Rittinger's Law (1867) Rittinger considered that for the grinding of solids, the energy required should be proportional to the new surface produced and put n = 2 Therefore dE/dx = - K/x² Integrating ∫ dE = - K ∫ 1/x². dx E = K [1/x 2 – 1/x 1]

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Which of the following crushing laws is most accurately ...

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.

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CHAPTER 11 SIZE REDUCTION - NZIFST

is called Rittinger's constant, and integrate the resulting form of eqn. (11.1), we obtain: E = K R f c (1/L 2 – 1/L 1) (11.3) 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

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(PDF) Comminution energetics part III : Bond's law and ...

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.

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Rock Crushing Theory and Formula using Kick & …

Rittinger's theory is the law of the cracks. It is well explained in an article by E. A. Hersam in the Mining and Scientific Press, an abstract of which is given in the third volume of Richard's Ore Dressing, and to which I acknowledge my indebtedness for some of my ideas and,methods. The mathematics of this theory follow:

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SIZE REDUCTION AND SIZE SEPARATION

Definition, objectives of size reduction and size separation, factors affecting size reduction, laws governing energy and power requirements of mills including ball mill, hammer mill, fluid energy mill etc., sieve analysis, standards of sieves, size separation equipment shaking and vibrating screens, gyratory screens, cyclone separator, air separator, bag filters, cottrell precipitator ...

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Unit Operations in Food Processing - R. L. Earle

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 the experimental ...

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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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Rittinger - an overview | ScienceDirect Topics

Equation (6.7) is known as 'Rittinger's law'. Due to the inaccuracy of the assumptions on which it is based and the difficulty in determining its parameters, Rittinger's law is only approximate. A different expression for energy requirement of size reduction has been proposed by Kick.

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Principle of Size Reduction | Mill (Grinding) | Explosive ...

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.

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Which Of The Following Crushing Laws Is Most Accurately ...

(A) Rittinger's law (B) Kick's law (C) Bond's law (D) None of these Which of the following gives the work required for size reduction of coal to -200 mesh in a ball mill most accurately? Last Answer : (A) Rittinger's law

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11 Crushing and classification

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 laws are used in conjunction with empirically given constants: it can be dangerous to use the book values without some test work.

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Materials | Free Full-Text | Research on the Grinding ...

The grinding theories, also called hypotheses or laws, are known by the surnames of their authors, such as: Rittinger, Kick [37,38,39], Bond [40,41,42] and Charles [43,44,45]. The theory of Rittinger assumes that the energy introduced in the process of grinding once is proportional to the increase in the surface resulting from the formation of ...

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Relationships between comminution J energy and product ...

and over 150 batch grinding tests and sieve sizing were carried out. Throughout the grinding tests, power draw was continuously monitored. The relationship between the grinding energy and product size was analysed using the conventional energy-size concepts. It was found that the Rittinger equation fits the experi-mental data well.

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Unit OperatiOn Size Reduction

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

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Influence of wood pellets properties on their grinding ...

The lab-scale disc mill and the application of Von Rittinger's comminution law provide a quick assessment of the relative grindability (i.e., the ease of grinding) of wood pellets. Further grinding studies should focus on the grinding behavior of pellets made of bark and wood blends (i.e., softwood and hardwood).

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Chapter 12 Comminution Energy and Evaluation in Fine …

Rittinger's law states that the energy required for fracture, E F, is proportional to the new surface produced: E F =C R (S f –S i ), where S i and S f are the initial and final sp1234567890ecific...

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A Review of Advanced Ball Mill Modelling

the latter part of the 19th century (von Rittinger, 1867; Kick, 1885) throughout the 20th century (Bond, 1952; Charles, 1957), and even more recently (Morrell, 2004). These different approaches have one thing in common: they use a single number to describe energy in grinding. This number, the specific energy, is the ratio between the

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Energy requirements in size reduction of solids

In fine grinding range such as grinding of cement etc. Rittinger's law is applicable. The slope of the curve would be approximately-1, 71 100 0 100 UO 0 Cr, 10 Fig. 1 Compiled logarith- mic presentation of specific surface production against net energy input. 1 10 100 • 1000 10000 log kW h/t 0 001 p. 0 r4 10A 0 04, 100;4

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SIZE REDUCTION - Universiti Teknologi Malaysia

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

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(PPT) Size Reduction | zerp daf - Academia.edu

For the size reduction of fine powders-in which large areas of new surface are being created, Rittinger's Law fits the experimental data better. fENERGY USED IN GRINDING- BOND'S LAW Bond has suggested an intermediate course, in which he postulates that n is -3/2 and this leads to: E = Ei (100/L2)1/2 [1 - (1/q1/2)] (3.4) Bond defines the ...

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rittinger law specific grinding

home; rittinger law specific grinding; rittinger law specific grinding. Rittinger Law Specific Grinding Mc Machinery Unit Operations in Food Processing R L Earle 20190224 Equation 113 is known as Rittingers Law As the specific surface of a particle the surface area per unit mass is proportional to 1L eqn 113 postulates that the energy required to reduce L for a mass of …

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CHAPTER 20: SIZE REDUCTION – EQUIPMENT FOR SIZE …

• 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 ...

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to verify the laws of size reduction using ball mill and ...

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 ...

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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 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 ...