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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Аkhmadiev F.G. – dortor of technical sciences, professor. Gizzjatov R.F. – candidate of technical sciences, associate professor E–mail: А This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleMathematical modeling and optimization of separation processes of disperse materials multistoreyed sith classifier
Abstract.The paper deals with mathematical modeling and optimization of separation processes of granular materials with a given function of the size distribution of certain farctions in the multi-level classifiers sieve. For this purpose, a discrete mathematical model of the proposed separation of multi-level classifier based on the theory of random walk of particles in the plane. Random walk of particles in the plane described by a system of difference equations defined boundary conditions. Studied the vibrational motion of granular material, taking into account the drag coefficient of the particle in the medium and regular regimes considered for classification. We calculate the average probability of screening particles in the cell, depending on the shape and size sieve and the particles of the material shared with the influence of the relative velocity. In order to determine the effectiveness of separation is formulated and solved the problem of optimization of the classifier based on two criteria. As optimization criteria chosen separation efficiency and performance of the classifier. To solve this optimization problem using different procedures. Constructed set of efficient solutions (Pareto set). To select a final solution of this set is considered the procedure for obtaining a compromise solution on the principle of guaranteed result and the method of ranking criteria. Conducted computational experiment and the regularities of the influence of various technological and design parameters on the separation efficiency and productivity. This apparatus was used for the separation of polymeric materials.
Keywords.Mathematical models, kinetics, mixture, crushing, classification, the disperse environment, Markov-processes.
For citations:Аkhmadiev F.G., Gizzjatov R.F. Mathematical modeling and optimization of separation processes of disperse materials multistoreyed sith classifier // Izvestiya KGASU. 2011. №4(18) P.330-340.


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