Mathematical simulation of the organic disperse material mechanical treatment processes

Authors

  • Євген Васильович Штефан National University of Food Technologies Str. Vladimirska, 68, Kiev, 01601, Ukraine
  • Дмитро Вікторович Риндюк National University of Food Technologies Str. Vladimirska, 68, Kiev, 01601, Ukraine
  • Сергій Віталійович Кадомський National University of Food Technologies Str. Vladimirska, 68, Kiev, 01601, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2014.23718

Keywords:

disperse materials, mathematical model, solid phase, processing, deformation, defining relationship

Abstract

The concept of presenting disperse masses in the form of twophase mixtures of porous or granular solid deformed structure with a liquid or gas is accepted. To describe the mechanical behavior of such materials, the notions of stresses, deformations, density and the rate of changing these parameters are used. Since these tensor and scalar properties have a local nature, mathematical operations of passage to the limit, when the space elements (volumes and surfaces) are contracted to the points (material) are proposed for their determining. This allowed to partially apply the traditional continuum models, in which points are identified with the particles of the medium (infinitesimal volume of material continuum), and they in turn are elementary carriers of the material properties.

Based on the accepted concepts, a new approach to creating mathematical models of mechanical treatment of food materials is proposed.

The basic provisions of this approach are:

- formulating boundary-value problems of the mechanics of disperse moisture-saturated food materials in the mode of elasto-viscoplastic deformation of the solid phase;

- using computer projection-grid methods for solving the set tasks;

- modern computer technologies for effective use of software systems;

- developing and conducting experimental studies on determining the rheological properties of the solid phase of the material.

Using the developed model concepts on the structural-mechanical properties of disperse materials and corresponding digital models within the proposed information design technology will ensure performing a complex of design calculations when considering typical technological operations of processing raw disperse materials in the food and pharmaceutical industries.

Author Biographies

Євген Васильович Штефан, National University of Food Technologies Str. Vladimirska, 68, Kiev, 01601

DrSc, Professor

Department of engineering, standardization and certification of equipment

Дмитро Вікторович Риндюк, National University of Food Technologies Str. Vladimirska, 68, Kiev, 01601

Ph.D.

Department of theoretical mechanics and resource-saving technologies

Сергій Віталійович Кадомський, National University of Food Technologies Str. Vladimirska, 68, Kiev, 01601

Ph.D.

Department of engineering, standardization and certification of equipment

References

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Published

2014-04-25

How to Cite

Штефан, Є. В., Риндюк, Д. В., & Кадомський, С. В. (2014). Mathematical simulation of the organic disperse material mechanical treatment processes. Eastern-European Journal of Enterprise Technologies, 2(12(68), 55–61. https://doi.org/10.15587/1729-4061.2014.23718

Issue

Vol. 2 No. 12(68) (2014): Technology and Equipment of Food Production

Section

Technology and Equipment of Food Production

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Copyright (c) 2014 Євген Васильович Штефан, Дмитро Вікторович Риндюк, Сергій Віталійович Кадомський

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