The mixing of solid particles in a motionless mixer—a stochastic approach

Chen, S. J.; Fan, L.T.; Watson, C. A.

doi:10.1002/aic.690180515

Cited by 40 publications

(29 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Matrix P has the properties that the summation of the elements over each column vector is unity and the value of each element is always between zero and one [9,18,19]. The distributions of kinetic and impact energy of particulate systems modeled using Markov chains is written as…”

Section: Markov Chains Modelingmentioning

confidence: 99%

See 1 more Smart Citation

Modeling of time-dependent distributions of impact and kinetic energies of particulate systems

Tjakra¹,

Hudon²,

Bao³

et al. 2013

AIP Conference Proceedings

View full text Add to dashboard Cite

Abstract. This work develops an approach to modeling and analyzing the kinetic and impact energy distributions of particulate systems based on Markov chains. Markov chain operators represent the dynamics of kinetic and impact energy distributions. It can be used to estimate the evolution of energy distribution with respect to time. The obtained results lead to a good approximation when compared to that from Discrete Element Method simulation. In addition, a measure based on collective dynamic analysis is developed to relate particle impact energy (which is unmeasurable during operation) and particle kinetic energy (which can be estimated during operation) is developed. This measure opens a new pathway to measure particle impact energy from particle velocity which can be used for online monitoring, control and optimization.

show abstract

Section: Markov Chains Modelingmentioning

confidence: 99%

“…Markov chains based on geometrical states (physical location of particles) have been used to estimate the evolution of particulate mixing in horizontal rotating drums [9,10]. The features of collective dynamics can be extracted from the Markov chain operators using measure developed in [11].…”

Section: Introductionmentioning

confidence: 99%

Modeling of time-dependent distributions of impact and kinetic energies of particulate systems

Tjakra¹,

Hudon²,

Bao³

et al. 2013

AIP Conference Proceedings

View full text Add to dashboard Cite

show abstract

“…In the past, Markovian models have been applied to various powder mixers. One can refer to the following works: Chen et al [10], Lai and Fan [11], Wang and Fan [12,13], Fan and Shin [14], Aoun-Habbache et al [15], Berthiaux et al [16], Ponomarev et al [17]. As all these papers described the process under steady conditions, only homogeneous Markov chains have ever been considered for mixing.…”

Section: A Simple Markov Chain Representation Of Continuous Mixingmentioning

confidence: 99%

Predicting bulk powder flow dynamics in a continuous mixer operating in transitory regimes

Ammarcha

Gatumel

Dirion

et al. 2012

Advanced Powder Technology

View full text Add to dashboard Cite

OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 9970 a b s t r a c tOver recent years there has been increasing interest in continuous powder mixing processes, due mainly to the development of on-line measurement techniques. However, our understanding of these processes remains limited, particularly with regard to their flow and mixing dynamics. In the present work, we study the behaviour of a pilot-scale continuous mixer during transitory regimes, in terms of hold-up weight and outflow changes. We present and discuss experimental results concerning the start-up dynamics of a Gericke GCM 500 mixer, for which a specific experimental protocol has been developed to determine the evolution of the hold-up in the mixer and the real outflow. Empirical relationships are derived so as to link hold-up weight variations with operating conditions. A simple stochastic approach, based on a non-homogeneous Markov chain, is developed to simulate the bulk particle flow and transport in the continuous mixer at a macroscopic level. Although this simple model is only based on the start-up behaviour, it provides a full description of the mixer dynamics in response to strong perturbations on the flow rate or on the rotational speed of the stirring device, such as negative or positive steps. This model is validated experimentally for a wide range of operating conditions, and constitutes a first approach to process control.

show abstract

“…Several workers investigated the mixing mechanisms of particulate solids in motionless mixers acting in transversal [2] and longitudinal directions [3]. Observing the interactions between the particles and mixer elements, four kinds of mixing actions were distinguished [3,4].…”

Section: Mixing Mechanisms Of Motionless Mixersmentioning

confidence: 99%

“…Observing the interactions between the particles and mixer elements, four kinds of mixing actions were distinguished [3,4]. Namely: (a) multiple division and recombination of the particle f low, (b) interaction of particles with other particles, with the surface of mixer elements and the tube wall, (c) changes in flow direction, and (d ) differences in velocity profile.…”

Section: Mixing Mechanisms Of Motionless Mixersmentioning

confidence: 99%

Motionless Mixers in Bulk Solids Treatments – A Review

Gyenis

2002

KONA

View full text Add to dashboard Cite

In this paper the general features, behavior and application possibilities of motionless mixers in mixing and treatments of bulk solids are overviewed, summarizing the results published during the last three decades. Working principles, mechanisms, performance, modeling and applications of these devices are described. Related topics, such as use in particle coating, pneumatic conveying, contacting, f low improvement, bulk volume reduction, and dust separation are also summarized.

show abstract

The mixing of solid particles in a motionless mixer—a stochastic approach

Cited by 40 publications

References 4 publications

Modeling of time-dependent distributions of impact and kinetic energies of particulate systems

Modeling of time-dependent distributions of impact and kinetic energies of particulate systems

Predicting bulk powder flow dynamics in a continuous mixer operating in transitory regimes

Motionless Mixers in Bulk Solids Treatments – A Review

Contact Info

Product

Resources

About