bonds law equation crushers

fm 306 size reduction and sieving Chemical Engineering IIT

Crushers like jaw crushers gyratory crushers etc Crushers are empirical laws have been proposed for calculation the energy requirements for crushing The laws can be n 2 Rittinger 39 s Law Assume that the energy required for size reduction is directly proportional to the change in surface area n 3 2 Bond 39 s Law 4 nbsp

Determining the Bond Efficiency of industrial grinding circuits

otherwise alter the requirements of any national state or local governmental statutes laws regulations ordinances or other Bond Impact Crushing Wi Test 4 ment power kW and T is the circuit tonnage metric t h Calculate the Actual Operating Bond Work Index equation 2 W WioACT –––––––––––– 2

Work Index Metcom Expertise

It starts with Bond 39 s Work Index equation Estimating the new production rate by changing one of the variables is just one of the ways you can use this equation For any circuit whether a crushing circuit a rod mill or a closed ball mill circuit the Work Index always means the equivalent amount of energy to reduce one nbsp

chemical engineering

value of 4 0 mm will be used which agrees with the value obtained by Bond 39 s method For coarse crushing Kick 39 s law may be used as follows Case 1 mean diameter of feed 45 mm mean diameter of product 4 mm energy consumption 13 0 kJ kg compressive strength 22 5 N m2 In equation 2 4 13 0 KK × 22 5 nbsp

Relationships between comminution energy and SciELO SA

mental data well and therefore a modified Bond equation was developed Differences in Kick 39 s equation is applicable for crushing Rittinger 39 s equation may be used for finer grinding and Bond 39 s equation is applicable in the conventional milling range Law can be reasonably applied to the range in which ball rod

How it Works Crushers Grinding Mills and Pulverizers

2 Jun 2017 The equation for Kick 39 s Law can be written as E KKfc loge L1 L2 Where E Energy KK Kick 39 s Constant fc crushing strength of the material L1 initial length and L2 reduced length Bond 39 s Law states that the total work input represented by a given weight of crushed product is inversely proportional to nbsp

size reduction paradox CiteSeerX

crushing strength initial and final dimensions of the particles and R size reduction ratio For coarse crushing Kick 39 s law has been favored W 1n R Where Kicks constant The energy obtained from this equation id s function only of the size reduction ratio and does not depend on the initial or final sizes Bond has nbsp

The energy distribution theory of comminution specific surface

24 Oct 2006 Keywords Comminution Crushing Grinding Mineral processing Modeling 1 Introduction The energy particle size The mathematical equations mainly used to describe such distributions are the Rosin law while if 1 m ф n 0 5 it represents Bond 39 s law Charles and Stamboliadis have shown that 1 m nbsp

Rock Crushing Theory and Formula using Kick amp Rittinger 39 s Law

the two antagonistic laws of crushing already mentioned The fracture of cubes by compression in a testing machine produces in nearly all cases pyramids of the same general shape Fig 1 indicating that the stresses are greatest along certain planes of fracture and since the nbsp

determination of the bond 39 s work index of baban tsauni European

The Bond 39 s work index of Baban Tsauni Nigeria ore was found to be 11 52kWh tonne Keywords Grindability comminution energy mineral comparative Introduction In a world with Equation 1 gives the work index of the test ore jaw crusher followed by a roll crusher and ground for 10minutes in a ball mill The size

a fracture toughness based model for the prediction of VTechWorks

There is little process control employed at aggregate crushing plants and essentially no optimization at the primary or jaw crushing stage Jaw crusher selection is very dependent on the subjective judgment experience of individuals the characterization of rock material using inadequate and unrepresentative tests and the nbsp

Computer Simulation Methods for Crushing Process in IOPscience

DEM calculation cycle represents as a step by step calculation per unit time over which the law of motion is applied to each particle and each contact surface The boundary conditions are updated in the modeling process The interaction between the elements formed and stopped automatically DEM calculation cycle in the nbsp

Basic Comminution Concepts and Recent Trends in the Industry

According to Kick 39 s law the energy required for comminution is proportional to log R log 2 Bond 1952 developed an equation which is based on the theory that the work input is proportional to the new crack tip length produced in particle breakage and equals the work represented by the product minus that represented by nbsp


The operation is highly energy intensive hence a variety of specialized equipment is available for specific applications The equipment may utilize one or more of the following physical mechanisms for size reduction i Compression ii Impact iii Attrition iv Cutting Estimation of energy for the operation is important and nbsp

Total Comminution Specific Energy SMC Testing

The SMC Test® is the most widely used industrially proven comminution test comercially available for AG amp SAG Mills HPGRs and crushers Calculator for Estimating Total Specific Comminution Energy from ROM to Final Grind using SMC Test® and Bond Ball Work Index Test Morrell 2009 2010 Editable input fields nbsp

Rittinger 39 s Law Unit Operations in Food Processing RL Earle

Grinding and cutting Energy Used in Grinding New Surface Formed by Grinding Grinding equipment Crushers Hammer mills Fixed head mills Plate mills Equation 11 2 is a statement of Kick 39 s Law It implies that the In Bond 39 s equation if L is expressed in microns this defines Ei and Bond calls this the Work Index

Size reduction GIKI SlideShare

10 Oct 2014 Bond has suggested a law intermediate between Rittinger 39 s and Kick 39 s laws by putting p −3 2 in the general equation Writing C 5Ei then Bond In general a crystalline material will break along well defined planes and the power required for crushing will increase as the particle size is reduced

comminution laws ACS Publications

This article deals with the relationship of both material and crushing mechanism to the exponent of particle size in the conventional comminution law from the viewpoint of several probabilities With the aid of this analysis an empirical equation has been obtained from which Rittinger 39 s law Kick 39 s law and Bond 39 s third


same energy required for same reduction ratio Bond 39 s law Intermediate between Rittinger 39 s and Kick 39 s law FKKKSA RITTINGER 39 S LAW Ritinger 39 s law Energy required for size reduction is directly proportional to the increase in surface Crushing efficiency constant Given machine amp material – independent of sizes of

Basics in Minerals Processing

BASICS IN MINERAL PROCESSING CONTENT Introduction 1 Minerals in operation 2 Size reduction 3 Crushing Grinding Size control 4 Screening Classification Enrichment 5 Washing Gravity separation Flotation Magnetic 3 4 Crushing – calculation of reduction ratio 3 40 Grinding – bonds work index nbsp

CRUSHING LAWS ppt video online download SlidePlayer

11 Bond 39 s Law 1952 This third law states that the net energy required in comminution is proportional to the length of the new cracks formed Energy required is based on geometry of a crack expansion as it opens up Neither of these two laws permits an accurate calculation of the energy requirements Rittinger 39 s law is nbsp


Bond so we are having three laws of comminution and we call it Kicks law Rittingers law and Bonds So if we consider the Kicks law the energy consumption while crushing 200 mm material to 50 mm as well as 2 size it means when we consider very large size feed 1 √df is negligible and thus the equation satisfies nbsp


2 2 Coarse crushing 2 2 1 Jaw crusher 2 2 2 Hammer crusher 2 3 Fine grinding 2 3 1 Vibration ring mill 3 Simulation of grinding based on the generalized generally called Bond Work Index given in kilowatt hours per ton Check whether your experimental data fit the Bond law by calculating the constant Wi Eq 4

Impact of physical and mechanical properties of rocks on energy

15 Nov 2014 Abstract The aim of this paper was to determine the impact of physical and mechanical properties of rocks on the electricity consumption of a jaw crusher during crushing This paper presents a different approach to determine the energy consumption during comminution The energy required for crushing

Modelling of crushing operations in the aggregates industry

The Bond law considers the surface area and the volume of the particle This law was empirically derived by a series of grinding tests This equation is applicable for finer particles than for Kick 39 s law and coarser particles than for Von Rittinger 39 s law This equation has been modified for use as modelling the power draw of nbsp

Bond F C 1961 Crushing and Grinding Calculations Scribd

Since neither theory agrees with commercial crushing and grinding results the author developed the Third Theory in 1951 3 According to this theory the work input is proportional to the new crack tip length produced in particle It follows a power law defined by the GATES GAUDIN SCHUHMANN equation quot which is

3330502 Gujarat Technological University

3 5 Laws of size reduction i Rittingers law ii Bond 39 s law iii Kick 39 s law 3f Compute the energy and power requirement for size reduction 3 6 Calculation of working of Jaw crusher Gyratory crusher Fluid Energy mill Ribbon Blender Roll crusher and Ball Mill 3i Calculate angle of nip 3 9 Derivation of equation of nbsp

11 Crushing and classification Particle Technology

11 2 Crushing laws All the common basic equations relating energy requirement for comminution can be derived from a single ordinary differential equation Bond 39 s Work Index values in kWh per short ton i e 2000 lbs or 907 kg roughly follow the Moh 39 s scale of hardness see Table 11 1 In Summary Kick 39 s law is better nbsp

Testing of Ore Comminution Behavior in the Geometallurgical MDPI

19 May 2015 Furthermore the type of mechanical stress applied in a certain crusher or mill type i e compressive or impact stress sampling and back calculation from continuous comminution tests at an even larger scale 5 In this context formula also referred to as Bond 39 s law as a process model 39 80 80 10

Comparison between bond crushing energy and fracture SAIMM

Each calculation step includes the solution of equations of motion to a particle using a force displacement law for each contact1 The rock is modelled as an assembly of stiff particles balls that are bonded together The properties of the bonds between balls can be defined in the PFC3D software22 For the purpose of

What Is Bond s Law Of Crushing

bonds equation crushing crusherasia com What is bond 39 s law of crushing In Chemical Engineering Chemical Bonding bonds equation crushing 9 9 Total 10 996 Votes 1992 Comments nbsp

Comminution Wikipedia

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 39 s crust In industry it is an important unit operation in mineral processing nbsp


The predictive equations are presented as a series of three dimensional graphs The graphs allow the design Later Bond 3 re examined their work and proposed his third law of comminution Bond In order to investigate power consumption and product size in cone crushing a major co operative research project was nbsp

Rock Crushing Theory and Formula using Kick amp

however to compare by means of these experiments 39 the two antagonistic laws of crushing already mentioned

Size Reduction Mechanical Operations Questions and Answers

5 Oct 2017 Following Rittingers law Crushing efficiency is a Independent What does the below equation represent mechanical operations questions answers size reduction q3 a Arrhenius Law b Kick 39 s Law c Bond Law According to Kick the work required for crushing a mass of material is a Zero

Laws of comminution YouTube

4 Sep 2016 Three laws of comminution or size reduction such as Kick 39 s law Rittinger 39 s law and Bond 39 s law are defined and its objectives in industrial processes are discussed Applicability in terms of feed size is discussed for three laws of comminution Finally differential equation is described which gives expressions nbsp

How to calculate the power for a stone crusher which

How to calculate the power for a stone crusher which parameter to fix can 39 t get it please follow the link if anyone has answer Power required for other affect the power requirement There is an equation for size reduction You can calculate power required by the bonds law of crushing For more about the bonds law see nbsp

OMC Power Based Comminution Calculations for Design Modelling

Correction factors for feed size and pebble crushing are applied to the AG SAG specific energy as well as specific energy adjustment from 1 7 mm to the mill transfer size T80 using Bond 39 s Law Starkey amp Larbi 2012 The Bond equation is used to calculate ball mill specific energy from T80 to the final product P80 size The

Reliability of Some Ore Characterization Tests Ausenco

drop weight tester representative coarse particle selection and or due to the calculation method used to When Bond first developed his comminution law crushers rod mills and ball mills were common standard t10 calculation method Narayanan and Whiten 1988 the t10 value is considered to be the 1 10th passing nbsp

International journal of advanced scientific and RS Publication

equations are used to carry out rigorous computations to quantify much sought parameters values which are of much The first crusher product 12 mm size showed Bond work Index 13 2 kW Ton and the second crusher Kirk 39 s Law Energy required for fracture is proportional to volume implying that grinding rate is

Energy requirements in size reduction of solids Eprints NML

replaced by numerical figures 2 1 and 11 the integrated form of the general equation leads to the well known fundamental theories of Rittin ger Kick and Bond respectively The total net energies Et kWh 0 from infinite feed size to a product of size x are given as follows Rittinger 39 s theory Et C 1 x 2 Kick 39 s law Et n x

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