Nonlinear optimization of gravity solids classification based on the feed and deck angles: a law of mass action approach

Rotich, Nicolus; Tuunila, Ritva; Elkamel, Ali; Louhi-Kultanen, Marjatta

doi:10.1016/j.powtec.2015.11.007

Cited by 2 publications

(6 citation statements)

References 8 publications

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“…. This process was followed in the recent paper involving optimization of gravity classification

\begin{matrix} f (t_{i}) = \sum_{i = 1}^{n} E^{2} \\ Where E = E (t_{i}) = U_{o} - \sum_{i = 1}^{n} D_{i} (t_{i}) \end{matrix}

…”

Section: Theoretical Models Developmentmentioning

confidence: 99%

“…Many attempts in the past to describe the performance of screening processes kinetically have ended up adopting either probabilistic or empirical approaches . However, a recent study seems to have found another intuitive method that enables dynamic quantification of not only the oversized and undersized particles simultaneously, but also estimates the intermediate amounts between the initial feed and the overflow product at any given time …”

Section: Theoretical Models Developmentmentioning

confidence: 99%

“…k i s are empirical constants related to the screening process factors discussed in Ref. , and not the usual reaction kinetics constants.…”

Section: Theoretical Models Developmentmentioning

confidence: 99%

“…These factors are grouped into three: intrinsic, extrinsic and others discussed in Ref. , and are extremely difficult to quantify the effect of each variable independently. Even though empiricism has evolved since the 17th and 18th centuries, empirical models lack universality in their applicability.…”

Section: Introductionmentioning

confidence: 99%

“…With the advent of powerful computer algorithms, the computation time has greatly been reduced through discretization of the particulate systems, even though the algorithms do not necessarily eliminate the error in totality. Algorithms such as discrete element method, computational fluid dynamics, finite element modeling and post‐processing, among others, have been applied specifically to model linear vibrating screens over the last few years . A detailed theoretical development and review of the discrete particle simulation systems has been discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic population balance and flow models for granular solids in a linear vibrating screen

Rotich

Tuunila

Elkamel³

et al. 2016

AIChE Journal

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Vibrating screens are a widely applied form of particle separations. In spite of this significance, their understanding is still an obstacle. Three approaches were used to characterize the flow of granular material in a linear vibrating screen. The statistical model, mass action, and kinetic model based on conservation of momentum were derived. Experiments were then conducted on a multi-sized prototype screen and glass beads of sizes 0.75, 1, 2, 3 mm. Deck inclinations were varied over 7.5,12.5, and 17.58, and frequencies over 7, 15, and 20 Hz. A total of 72 feed batches and a constant power of 50 W was used. The experimental data was then used to validate the models. The three models provided accurate flow prediction over the screens. Additionally, the kinetic model also provided a basis for optimal design of the screening unit operation, by allowing manipulation of seven design variables to obtain a 95-100% efficient vibrating screen.

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“…. This process was followed in the recent paper involving optimization of gravity classification