Numerical and experimental simulation studies on the mixing of particulate solids and the synthesis of a mixing system

Fan, L.T.; Lai, F. S.; Akao, Yoji; Shinoda, Kazuhiko; Yoshizawa, E.

doi:10.1016/0098-1354(78)80003-9

Cited by 13 publications

(8 citation statements)

References 9 publications

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“…However, in their work, the evolution of process parameters and the physical features of the mixing zone were not described. Their model, which only allows transitions to neighboring cells, was further developed by Wang and Fan (1977) and Fan, Lai, Akao, Shinoda, and Yoshizawa (1978).…”

Section: Introductionmentioning

confidence: 99%

Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids

2016

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Please cite this article in press as: Mizonov, V., et al. Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids. Particuology (2015), http://dx. a b s t r a c tThe objective of this study is to examine several optimization problems in the batch mixing of segregating particulate solids that can be set up and solved using Markov chain models. To improve the adequacy of such models and exclude some physical contradictions that arise in the linear form, a non-linear Markov chain model for the mixing of segregating components is proposed. Optimal solutions are obtained by controlling the particle flow outside the mixing operating volume while the components are being loaded, modifying particle circulation inside the mixing zone during the process, and by structuring the load in the mixing zone. Solutions are found that not only reduce the negative influence of segregation, but also exclude it altogether. The gain resulting from optimization grows with the rate of segregation. The optimal solutions presented here can be used to improve the design of mixers.

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Section: Introductionmentioning

confidence: 99%

Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids

2016

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“…However, their work neglected the evolution of the process parameters, and did not describe the physical features of the mixing zone. In later studies by these researchers (Fan, Lai, Akao, Shinoda, & Yoshizawa, 1978;Wang & Fan, 1977), a model was developed in which transitions were only permitted to the neighboring cells. Doucet et al (2008)Doucet, Hudon, Bertrand, andChaouki (2008) attempted to combine the DEM method with Markov chain theory.…”

Section: Introductionmentioning

confidence: 99%

A Markov chain model of mixing kinetics for ternary mixture of dissimilar particulate solids

et al. 2017

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Cendrine Gatumel. A Markov chain model of mixing kinetics for ternary mixture of dissimilar particulate solids. Particuology , Elsevier, 2017, 31, p. a b s t r a c t This paper presents a simple but informative mathematical model to describe the mixing of three dissimilar components of particulate solids that have the tendency to segregate within one another. A nonlinear Markov chain model is proposed to describe the process. At each time step, the exchange of particulate solids between the cells of the chain is divided into two virtual stages. The first is pure stochastic mixing accompanied by downward segregation. Upon the completion of this stage, some of the cells appear to be overfilled with the mixture, while others appear to have a void space. The second stage is related to upward segregation. Components from the overfilled cells fill the upper cells (those with the void space) according to the proposed algorithm. The degree of non-homogeneity in the mixture (the standard deviation) is calculated at each time step, which allows the mixing kinetics to be described. The optimum mixing time is found to provide the maximum homogeneity in the ternary mixture. However, this "common" time differs from the optimum mixing times for individual components. The model is verified using a lab-scale vibration vessel, and a reasonable correlation between the calculated and experimental data is obtained.

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“…Mixture quality can be analysed using different approaches, for example those described in [2][3][4], through the help of standard deviation or variance with reference to the average concentration of a component in the whole volume. Most of the time, it is necessary to sample the mixture and therefore obtain an estimate of this statistical data.…”

Section: Introductionmentioning

confidence: 99%

Markov-chain modelling and experimental investigation of powder-mixing kinetics in static revolving mixers

Ponomarev¹,

Mizonov²,

Gatumel³

et al. 2009

Chemical Engineering and Processing: Process Intensification

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chain modelling and experimental investigation of powder-mixing kinetics in static revolving mixers. Keywords: Static mixer Mixing Markov chains Model Mixture quality a b s t r a c tThis study aims to develop a general model that is able to describe powder flow and mixing in static mixers, regardless of the type of mixer or the mixing configurations. The process model is based on a homogeneous Markov chain describing the flow of each component through the mixing zone by a series of interconnected cells. It accounts for the number of mixing elements and their disposition in the mixer, as well as particle segregation via different transition probabilities. Some simulations are given to emphasize this particular aspect. Other outcomes of the model include the number of passages to reach a required mixture quality, as well as the asymptotic distribution of components. A laboratory static mixer of revolving type was designed specially for this study. It comprises up to 10 mixing sections, and its high internal voidage favours free flow of the powder. Segregating and non-segregating mixtures have been used to test the model and adjust unknown parameters. The model gives very satisfying results. In particular, it is able to account for the oscillating character of mixing kinetics due to particle segregation. It is also suggested that these parameters could be linked separately to powder flowability and mixing element characterization.

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Numerical and experimental simulation studies on the mixing of particulate solids and the synthesis of a mixing system

Cited by 13 publications

References 9 publications

Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids

Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids

A Markov chain model of mixing kinetics for ternary mixture of dissimilar particulate solids

Markov-chain modelling and experimental investigation of powder-mixing kinetics in static revolving mixers

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