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rittinger law specific grinding

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a commentary on the kick, bond and rittinger laws of grinding

Jun 01, 1973 · CONCLUSION Two distinct forms of the empirical "general law" of grinding exist: first, - dx dE= =CI where or -t - so dP(x, t) 1/Ji xn_ I 0 n I log (x/xe) _ -'.__ log (x/x,) dP (x, t), rI = I When n=1, this is Kick's law, when n=2 it is Rittinger's law, and integration gives r x~ E Ln-II 1[f 0 (1/x I)dP(x, t) ma or s~a~ (1/xn-I)dP(x, 0)] , rtr 1 (6a) 0 xmn= E= CI b log(x/xo)dPlx, t) 0 . log (x/xo) dP (x, 0)1 > n =I Equation (6a)

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rock crushing theory and formula using kick & rittinger's law

Mar 11, 2016 · 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 crushing is proportional to the surface exposed by the operation; or, better expressed for this purpose, the work done on a given mass of rock is proportional to the reciprocal of the

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unit operations in food processing - r. l. earle

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 4.7 mm. This is a very much smaller reduction, in terms of energy per unit mass for the smaller particles, than that predicted by Kick's Law

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rittinger and kick's laws of crushing

Mar 08, 2016 · Rittinger and Kick’s Laws of Crushing. 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

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rittinger law specific wet ball mill

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 particles from 10 cm to 5 cm would be the same as that required to reduce for example the same mass of 5

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grinding and crushing laws

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how it works: crushers, grinding mills and pulverizers

Jun 02, 2017 · 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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influence of wood pellets properties on their grinding

Jun 09, 2021 · 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

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(pdf) development of size reduction equations for

Specific energy vs. Rittinger’s gr inding law parameter for the data from this study, and th ose extracted from Mani et al. (2 004), Bi tra et al. (2009), and Adapa et al. ( 2011). Figure 8

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size reduction,laws involved in size reduction

Oct 25, 2016 · However,equations Rittinger’s law and Bond’s law were developed from studies of hard materials (coal and limestone) and deviation from predicted results is likely with many foods. 15. Basic parts of mill • Feed chute/hopper, which delivers the material. • Grinding mechanism usually consisting of a rotor and stator

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size reduction practices in food processing | request pdf

All the three classical laws of grinding (Kick’s, Rittinger’s and Bond’s) seemed to be applicable while Rittinger’s law showed better suitability than the other two followed by Bond’s

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effect of moisture content on the grinding process and

Grinding is a staple size-reduction process to produce food powders in which the powdered form is chemically and microbiologically stable and convenient to use as end products or intermediate products. The moisture content of food materials before grinding is a particularly important factor, since it determines the materials’ physical properties and the powder properties, such as flowability

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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

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size reduction equipment - part i, fabrizio sarghini

Rittinger assumed that the energy required for size reduction is directly proportional to the change in surface area, and not to the change in length. He considered that for the grinding of solids, the energy required should be proportional to the new surface produced, assigning the value of 2 to the power n, and obtaining the Rittinger’s law

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food engineering: lesson 43. size reduction

Where x 1 is the average initial size of the feed particles, x 2 is the average sizeof the product particles, E is the energy per unit mass required to produce this increase in surface area and K is a constant, known as Rittinger’s constant. Rittinger’s law has been found to hold better for fine grinding

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cpe: lesson 15. empirical laws of size reduction

15.1 Rittinger’s law ... 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. ... The Bond Work Index is material specific and is obtained from laboratory crushing tests on the feed material

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rittinger law specific grinding

rittinger law specific grinding Mill ( grinding ) - Wikipedia, the free encyclopedia A grinding mill is a unit operation designed to break a solid material into smaller pieces

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how material size directly affects size reduction energy

Mar 25, 2015 · Rittinger’s Law — The energy required for reduction in particle size of a solid is directly proportional to the increase in surface area. E = K R f c (1/L 2 – 1/L 1 ) Kick’s Law — The amount of energy required to crush a given quantity of material to a specified fraction of its original size is the same, regardless of the original size

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principles of size reduction - solid foods - food science

Feb 21, 2018 · Determination of energy required in size reduction is generally done using either Kick’s law or Rittinger’s law. Kicks’s law is used for coarse grinding when the size ratio of original material to end materials is 8:1. Bond’s law and Retinger’s law are used for intermediate and fine grinding respectively, where ratios approach or

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amit 135: lesson 6 grinding circuit – mining mill operator

Grinding tests in pilot scale, where the specific power consumption is determined (kWh/t dry solids) . Laboratory tests in small batch mills to determine the specific energy consumption. Energy and power calculations based on Bonds Work Index (Wi, normally expressed in kWh/ short ton)

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energy consumption of two-stage fine grinding of douglas

Mar 12, 2018 · Figure 7 shows Rittinger’s comminution law fitting to the data of three feed sizes and nineteen product sizes and corresponding SECs from rotor impact mill grinding. The Rittinger constant of 104.5 for the rotor impact mill grinding is larger than 58.6 for the hammer mill grinding (Fig. 5), indicating that the hammer mill used less energy

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