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111.
The latest state of the art on Discrete Element Method (DEM) and the increased computational power are capable of incorporating and resolving complex physics in comminution devices such as tumbling mills. A full 3D simulation providing a comprehensive prediction of bulk particle dynamics in a grinding mill is now possible using the latest DEM software tools.This paper explores the breakage environment in mills using DEM techniques, and how these techniques may be expanded to provide more useful data for mill and comminution device modelling. A campaign of DEM simulations were performed by varying the mill size and charge particle size distribution to explore and understand the breakage environment in mills using DEM techniques. Analysis of each mill was conducted through consideration of the total energy dissipation and the nature of the collision environment that leads to comminution.The DEM simulations show that the mill charge particle size distribution has a strong influence on the mill input power and on the way the energy is distributed across the charge. The smaller particles experience higher energies while the larger experience less, but this variation is strongly dependent on the mill size. The results also showed that the average particle collision energy increases with increasing mill size, whereas its distribution over particle size is strongly influenced by the mill content particle size distribution. The simulations also captured the energy distribution within different regions of the tumbling charge, with the toe impact region having higher impact energies and the bulk shear region having higher tangential energies. Regardless of the mill size most of the energy is consumed by the particles in the mid-size range, which has the highest percentage mass of the total charge distribution. 相似文献
112.
A high voltage pulse (HVP) breakage model was developed as a general modelling structure to represent the three HVP breakage indices: body breakage probability (the D1-model), body breakage product fineness (the D2-model), and body breakage product pre-weakening degree (the D3-model). Relations between the HVP breakage indices and HVP pre-concentration characterisation curves were established. The preliminary result indicated that the HVP breakage model has the potential to predict the recovery of valuable metals from the calibrated model parameters. A tn-family of curves (tn is defined as cumulative percentage of product passing 1/n of the initial size) was used to describe the HVP breakage product size distribution. The tn-family of curves can be employed to estimate the product size distribution from the predicted t10 values by the D2-model. 相似文献
113.
The attainable region analysis of batch grinding is a graphical method of establishing limits of performance of possible outcomes of any defined process. When applied to batch grinding, the results have often come into conflict with traditionally acceptable milling practice under which most concentrators operate (Metzger et al., 2011). This novel technique has not been tested on an industrial scale and thus, application of the scheme to full scale industrial mill is naturally the next step.This research entailed scaling-up data obtained from laboratory batch milling of a platinum ore using empirical models. Using the parameters obtained in the laboratory tests, the authors applied a scheme developed by Austin et al. (1984) to predict the selection function and breakage function parameters for an operational industrial mill on which some plant survey had been conducted. It was found that the simulated product size distributions based on this scale up-procedure displayed a close match with the actual obtained from an operational industrial mill.The attainable region plots from the scaled-up data showed that a finer product is achieved by using small balls. This is in agreement with initial findings based on laboratory batch tests only. It is also anticipated that pilot tests, industrial tests or simulations should be the next step in the quest for bridging the gap between the attainable region methodology and industrial experience. It has also been validated on industrial scale that less powder and grinding balls are needed to achieve finer grinding. However, it was interesting to note that the factors that produced a coarser product when analysed from a particle point of view were the same as those that yield the greatest amount of the desired size class when viewed from an attainable region perspective. 相似文献
114.
115.
Breakage patterns of agglomerates 总被引:4,自引:0,他引:4
The experimental information available in the literature regarding the patterns of breakage of agglomerate materials is scarce, particularly in dynamic loading. The primary objective of this paper is to present our findings on the breakage patterns of the agglomerates and the interparticle bond. A high-speed digital video imaging technique is used here to gain an insight into the impact behaviour of individual agglomerates against a target plate. Several breakage patterns are observed. Agglomerates may suffer localised damage only, with the disintegration of the damaged zone into very fine debris, or localised damage combined with fracture. The frequency of occurrence of these patterns depends on the impact velocity and agglomerate structure. The pattern of breakage affects significantly the size distribution of the impact product. An investigation of the breakage of individual interparticle bonds is also presented. Two forms of failure are observed, internal (cohesive) and interfacial (adhesive) failure. The morphology of the fractured surface depends greatly on the type of breakage. Internal breakage shows irregular surfaces due to crack jumping, whereas interfacial failure produces clean, smooth fracture surfaces. These observations should provide the necessary foundation for the development of a fundamental model of agglomerate breakage. 相似文献
116.
117.
Energy and population balances in comminution process modelling based on the informational entropy 总被引:1,自引:0,他引:1
Henryk Otwinowski 《Powder Technology》2006,167(1):33-44
The results of theoretical and experimental studies of a comminution process are presented. There are two random functions: the selection function and the breakage function in the stochastic model based on a population balance. This model enables prediction of particle size distributions of comminution products after determination of both random functions. Maximum entropy method is used in the entropy model for determining the breakage function. Two cases are analysed, based on continuous and discrete particle size distribution functions of the fed material. Apart from mass balance, the energy balance of comminution process is also used. Searched form of breakage function is determined with the application of methodology of calculus of variations. The results of experimental identification of both models are presented. The parameters that occur in the discrete form of the selection and breakage functions were the identification objects. The results of experimental investigations of quartz sand single comminution in a laboratory jet mill provided an identification base. The experimentally identified results of the entropy model confirmed the adequacy of the theoretical analysis and demonstrated the possibility of adequate prediction of particle size distributions resulting from single comminution. 相似文献
118.
Dimitri Mignard 《Chemical engineering science》2006,61(21):6902-6917
Following on our previous studies, the population balance model that was built on the earlier work from Jareš and Procházka [Break-up of droplets in Karr reciprocating plate extraction column. Chemical Engineering Science 42, 283-292] was modified to include the viscoelastic effect on droplet size distribution and to evaluate the breakage rates of oil-in-water dispersions in a continuous oscillatory baffled tube. In this work, experiments were performed showing that the breakage of droplets is the dominant mechanism in the system, and the physical properties of different oils had no significant influence on droplet size distributions. Under those conditions the model can be used to focus only on breakage rate constants, keeping the number of fitted parameters in the modelling process to a minimum. The droplet breakage results from this work suggest that the oscillation amplitude has more influence on the breakage rates than the oscillation frequency. This work is a major extension and includes droplet data from our previous studies so that the breakage rates can be compared; and the consistency of the rate constants is examined. 相似文献
119.
The kinetics of batch dry grinding of binary mixtures of ceramic raw materials, namely quartz–kaolin, quartz–potassium feldspar and kaolin–potassium feldspar, from the feed sizes of −3.350 + 2.360, −2.000 + 1.400, −0.850 + 0.600, −0.500 + 0.355 and −0.300 + 0.212 mm have been determined using a Bond mill with a mixture of ball sizes of 38.10, 31.75, 25.40, 19.05 and 12.70 mm diameter and total mass of 22.648 kg. The Bond mill used was a size of 30.5 cm diameter, 30.5 cm length, with a total volume of 22,272 cm3. The fractional ball filling was 22% of mill volume and the mill speed was 70 rpm. The breakage parameters were obtained for those mineral mixtures to predict the product size distributions. As the feed sized given above, which were ground in the mill, increase, the specific rate of breakage (Si) values also increase, which means faster breakage with higher Si value occurs in the order of quartz–kaolin, quartz–potassium feldspar and kaolin–potassium feldspar mixtures when comparing the characteristic values (slope of Si versus size relationship with higher value). The cumulative breakage distribution function (Bi,j) values obtained for these mineral mixtures were slightly different in terms of the fineness factor, γ. This means that quartz–potassium feldspar mixture produced less fines with higher γ value, while kaolin–potassium feldspar gave more fines with lower γ value. The simulations of the product size distribution for these mixing were very close to the experimental data. Finally, slowing down effect, treated with false time concept, started earlier than the expected for these binary mixtures. There were some correlations found between the simulated time (θ) and experimental time (t). 相似文献
120.
Lingling Cai Zhiqiang Liu Sha Mi Chun Luo Kebo Ma Aixiang Xu Sheng Yang 《Advanced Powder Technology》2019,30(10):2299-2310
Elbow pipes are important components for ice slurry pipeline transport. However, the flow characteristics of ice slurry in elbow are far from fully being understood, especially the influence of ice particle kinetics on ice particle size distribution (PSD). This study is intended to provide a better understanding of the behavior of ice slurry flow in elbow pipe. A CFD-PBM coupled model is employed to investigate the flow characteristics of ice slurry in horizontal 90° elbow pipe. The quadrature method of moments is utilized to solve the population balance equations. Based on the revised model, the flow characteristics of ice slurry in the horizontal 90° elbow pipe are investigated. The simulation results show that in the range of calculations, the pressure drop of elbow pipe is increased with the increase of velocity and ice packing fraction (IPF). An adverse pressure gradient is formed due to the change in flow direction. The emergence of secondary flow is caused by the centrifugal force. It makes the ice particles gather on the outer wall of the elbow section. The ice diameter increases along the flow direction due to the aggregation. The evolution of particle size distribution (PSD) is not significant. However, aggregation and stratification cannot be ignored in the process of long distance transport of ice slurry. The results are of significance for guiding the safety design and operation of ice slurry transportation. 相似文献