Journal ArticleDOI
Application of the theory of Markov chains to model different processes in particle technology
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In this paper, a general strategy of building the Markov chain models and computational analysis of characteristics of a process is described, and some examples of application of the approach to model grinding, classification, grinding with internal classification, mixing, agglomeration, etc, are shown.About:
This article is published in Powder Technology.The article was published on 2005-09-29. It has received 60 citations till now. The article focuses on the topics: Markov chain & Particle technology.read more
Citations
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Journal ArticleDOI
Discrete simulation of granular and particle-fluid flows: from fundamental study to engineering application
TL;DR: This review discusses the enabling methods and technologies for multiscale discrete simulations (MSDS), and concludes that with these developments, MSDS could soon become, among others, a mainstream simulation approach in chemical engineering which enables VPE.
Improved cement quality and grinding efficiency by means of closed mill circuit modeling
TL;DR: In this article, a Markov chain model for the circuit consisting of a tube ball mill and a high efficiency separator was introduced through the metrics of grinding and classification, whereas the classification matrix was defined from the Tromp curve of the separator.
Journal ArticleDOI
Modeling of the mixing of monodisperse particles using a stationary DEM-based Markov process
TL;DR: A generalized approach for the construction of a multidimensional state space first-order Markov chain that represents the mixing of monodisperse particles is introduced and it is shown that, if accurate measurements of the state of the system are available, the associated Markov operator leads to a good estimate of the particle dynamics in the system.
Journal ArticleDOI
Mathematical modeling of fluid energy milling based on a stochastic approach
TL;DR: In this paper, the authors used the stochastic method to simulate the grinding process in a fluid energy mill, where the product particle size distribution is regarded as the result of repeating elementary breakage events.
Journal ArticleDOI
Modeling of Sewage Sludge Flow in a Continuous Paddle Dryer
TL;DR: In this article, a model based on the theory of Markov chains has been developed to represent the residence time distribution (RTD) of municipal sewage sludge in a continuous paddle dryer.
References
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Journal ArticleDOI
Continuous Mixing of Fine Particles
Ralf Weinekötter,Lothar Reh +1 more
TL;DR: In this article, a model for continuous solids mixing processes is developed that takes into account feeding constancy, residence time distribution and the limited homogeneity of particulate mixtures.
Journal ArticleDOI
Analysis of grinding processes by Markov chains
TL;DR: In this paper, the authors reviewed the wide field of application of stochastic processes in Chemical Engineering, with specific attention to particulate processes, and commented upon using an example.
Journal ArticleDOI
Stochastic modelling of the particle residence time distribution in circulating fluidised bed risers
TL;DR: In this article, a set of stochastic mathematical models have been developed to simulate the residence time distribution of solids in the riser of a circulating fluidised bed using a Markov chain.
Book ChapterDOI
Theory of mixtures and mixing
TL;DR: The fundamentals of chemical engineering are closely allied with classical physics The chemical engineer, preoccupied with the working of practical plant, is often neglectful of the principles of his subject This is the first of a series of articles intended to stimulate fundamental thought.
Journal ArticleDOI
The mixing of solid particles in a motionless mixer—a stochastic approach
TL;DR: In this paper, a Markov chain model was used to model the axial mixing of solid particles in a motionless mixer having no moving parts, and the model was able to predict spatial distribution of tracer particles up to seven steps of the chain, which was equivalent to seven consecutive passes of the mixture through the mixer.
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