Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids--颗粒学报PARTICUOLOGY

Mizonov, V., Berthiaux, H., & Gatumel, C. (2016). Theoretical search for solutions to minimize negative influence of segregation in mixing of particulate solids. Particuology, 25, 36-41. https://doi.org/10.1016/j.partic.2015.05.002

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

Vadim Mizonov ^a *, Henri Berthiaux ^b, Cendrine Gatumel ^b

a Department of Applied Mathematics, Ivanovo State Power Engineering University, Rabfakovskaya 34, 153003 Ivanovo, Russia
b Centre RAPSODEE, UMR CNRS 5302, Ecole des Mines d’Albi-Carmaux, Campus Jarlard, route de Teillet, 81000 Albi, France

10.1016/j.partic.2015.05.002

Volume 25, April 2016, Pages 36-41

Received 24 October 2014, Accepted 22 May 2015, Available online 16 July 2015, Version of Record 18 February 2016.

E-mail: mizonov46@mail.ru

Highlights

• A non-linear Markov chain model for segregating particulate solids mixing was proposed.

• Optimal solutions were obtained for batch mixers with time-distributed load and one-time load.

• Mixing with internal circulation of segregating component allowed to reach homogeneous mixture.

Abstract

The 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.

Graphical abstract

Keywords

Mixing; Segregation; Mixture quality; Markov chain; Optimization

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