Preview

Proceedings of the Voronezh State University of Engineering Technologies

Advanced search

DEVELOPMENT OF MATHEMATICAL MODEL OF BLACK CURRANT BERRIES DRYING PROCESS IN VACUUM DEVICE WITH THE MICROWAVE POWER SUPPLY

https://doi.org/10.20914/2310-1202-2014-1-7-12

Abstract

Summary. The mathematical model of black currant berries drying process in vacuum device with the microwave power supply, differing in high space and temporary specification is developed, the structure of separate berries and a layer of berries is considered, heat- and physical parameters depend on coordinate and time as well as in the accounting of berries form change and a berries layer structure in the dehydration process. We used the particles dynamics method for modeling of mechanical behavior of berries which is increasingly being used now in different branches of science and technology. To give the model the high space specification the modeled berries layer consists of 20–50 separate berries, each berry depending on diameter being broken into approximately 100 separate elements. Berries elements are divided into 3 types depending on the physical properties (peel, pulp, seeds). Therefore, in general, from the point of space detail, a layer of berries consists of 2000- 5000 elements. Modeling is carried out in two-dimensional Cartesian space X–Z. The condition of each element of circle is set by four variables: Cartesian coordinates of its center and two components of speed. Mechanical interaction of elements among themselves is accepted to be viscous and elastic that allows to consider the main mechanical properties of berries – the elasticity module, internal friction index. Within the developed model it is considered that between the neighbor elements there can be pushing away forces (at the introduction of elements into each other), or attractions (at a distance of the linked elements from each other). The description of the processes of warm and moisture exchange between the elements as well as between the elements and environment is based upon the standard equations of drying. In model it is considered that the microwave power brought is redistributed in the heated volume in proportion to elements moisture.

About the Authors

S. T. Antipov
Voronezh state university of engineering technologies
Russian Federation
Professor
Department of machines and apparatuses of the food industry
Tel.: (473) 255-38-96


D. A. Kazartsev
Voronezh state university of engineering technologies
Russian Federation
associate Professor
Department of machines and apparatuses of the food industry
Tel.: (473) 255-38-96


A. V. Zhuravlyov
Voronezh state university of engineering technologies
Russian Federation
associate Professor
Department of machines and apparatuses of the food industry
Tel.: (473) 255-38-96


S. A. Vinichenko
Voronezh state university of engineering technologies
Russian Federation
post-graduate
Department of machines and apparatuses of the food industry
Tel.: (473) 255-38-96


References

1. Лыков А. В. Теория сушки. М.: Энер- гия, 1968. 472 с. Lykov A. V. Teoriia sushki [Drying theory]. Moscow, Energiia, 1968. 472 p. (In Russ.).

2. Лыков А.В. Тепломассообмен. М.: Энергия, 1978. 480 с. Lykov A.V. Teplomassoobmen [Heat and mass exchange]. Moscow, Energiia, 1978. 480 p.(In Russ.).

3. Гинзбург А.С. Технология сушки пищевых продуктов. М.: Пищевая промышленность, 1976. 248с. Ginzburg A.S. Tekhnologiya sushki pishchevykh produktov [Technology of drying foodstuff]. Moscow, Agropromizdat, 1976. 248 p. (In Russ.).

4. Гинзбург А.С. Расчет и проектирование сушильных установок пищевой промышленности. М.: Агропромиздат, 1985. 336 с. Ginzburg A.S. Raschet i proektirovanie sushi-l’nykh ustanovok [Calculation and design of drying installations of the food industry]. Moscow, Agropromizdat, 1985. 336 p. (In Russ.).

5. Решетин О.Л., Орлов С.Ю. Теория переноса тепла и влаги в капиллярно-пористом теле // Журнал технической физики. 1998. Т. 68. № 2. С. 140–142. Reshetin O. L., Orlov S. Iu. The theory of transfer of heat and moisture in a capillary and porous body. Zhurnal tekhnicheskoi fiziki. [Magazine of technical physics], 1998. vol. 68, no. 2, pp. 140- 142. (In Russ.).

6. Советов Б. Я. Моделирование систем: учебное пособие. М.: Высшая школа, 1998. 319 с. Sovetov, B. Ia. Modelirovanie system [Modeling of systems]. Moscow, Vysshaia shkola, 1998. 319 p. (In Russ.).

7. Allen M.P., Tildesley D.J. Computer Sim￾ulation of Liquids. Oxford: Clarendon Press, 1987. 408 p. Allen M.P. Tildesley D.J. Computer Simulation of Liquids. Oxford, Clarendon Press, 1987. 408 p.

8. Кривцов А.М. Деформирование и разрушение тел с микроструктурой. М.: ФИЗМАТЛИТ, 2007. 304 с. Krivtsov A.M. Deformirovanie i razrushenie tel s mikrostrukturoi [Deformation and destruction of bodies with a microstructure]. Moscow, Fizmatlit, 2007. 304 p. (In Russ.).

9. Инженерные расчеты на ЭВМ: справочное пособие под ред. В.А. Троицкого. Л.: Машиностроение, 1979. 288 с. Troitskii V.A. Inzhenernye raschety na EVM [Engineering calculations on the computer], Leningrad, Mashinostroenie, 1979. 288 p. (In Russ.).


Review

For citations:


Antipov S.T., Kazartsev D.A., Zhuravlyov A.V., Vinichenko S.A. DEVELOPMENT OF MATHEMATICAL MODEL OF BLACK CURRANT BERRIES DRYING PROCESS IN VACUUM DEVICE WITH THE MICROWAVE POWER SUPPLY. Proceedings of the Voronezh State University of Engineering Technologies. 2014;(1):7-12. (In Russ.) https://doi.org/10.20914/2310-1202-2014-1-7-12

Views: 511


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2226-910X (Print)
ISSN 2310-1202 (Online)