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Methods of Nonequilibrium Statistical Mechanics in Models for Mixing Bulk Components

In: Modeling and Simulation in Engineering - Selected Problems

Author

Listed:
  • Anna Kapranova
  • Daria Bahaeva
  • Dmitry Stenko
  • Ivan Verloka
  • Anton Lebedev
  • Mikhail Tarshis

Abstract

When describing the mechanics of the behavior of bulk materials during their mixing, a theoretical basis for the design of the specified equipment is formed. In recent years, the most well-known methods of modeling this process include the stochastic approach, in the framework of which models of the following types are actively developing: cell, managerial, with time series, energy, etc. Moreover, as a rule, predicting the quality of the finished mixture according to the selected criterion is achieved by using numerical calculation methods based on the generated cyber system. Of particular interest is the use of the energy method from the statistical mechanics of nonequilibrium processes due to the possibility of obtaining analytical simulation results. The paper describes the motion models of bulk components in rarefied flows, which are built on the basis of the energy method and take into account the main characteristics of the studied mixing process.

Suggested Citation

  • Anna Kapranova & Daria Bahaeva & Dmitry Stenko & Ivan Verloka & Anton Lebedev & Mikhail Tarshis, 2020. "Methods of Nonequilibrium Statistical Mechanics in Models for Mixing Bulk Components," Chapters, in: Jan Valdman & Leszek Marcinkowski (ed.), Modeling and Simulation in Engineering - Selected Problems, IntechOpen.
  • Handle: RePEc:ito:pchaps:210780
    DOI: 10.5772/intechopen.93137
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    More about this item

    Keywords

    apparatus; process; mixing; bulk material; rarefied flow; stochastic model;
    All these keywords.

    JEL classification:

    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General

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