DOI: https://doi.org/10.32515/2414-3820.2019.49.116-125
Investigation of the Movement of Particles of Grain Material in the Vertical Channels of the Pneumogravitational Classifier
About the Authors
Borys Kotov, Professor, Doctor in Technics (Doctor of Technics Sciences), Podolsk State Agrarian and Technical University (PDATU), Kamyanets-Podilsky, Ukraine
Sergiy Stepanenko, PhD in Technics (Candidate of Technics Sciences), Senior Researcher, National Scientific Center "Institute of Mechanization and Electrification of Agriculture", Kyiv, Ukraine, e-mail:stepanenko_s@ukr.net
Abstract
The separation of grain mixtures into fractions by aerodynamic characteristics allows to increase the level of purity of the basic material - grains, seeds, etc., that is, to obtain a product with a given level of quality. The article discusses increasing the efficiency of fractionation of grain mixtures in pneumatic ducts of circular cross section by determining the rational shape and parameters of the material supply, as well as the shape of the pneumatic channel and options for unloading fractions.
Based on the use of aerodynamic provisions, an original mathematical model of the process of moving the particles introduced at an angle to the vertical pneumatic channel was created. The proposed model takes into account the logarithmic irregularity of the air velocity field plot. A number of assumptions have been made: air turbulent mode, the resistance of the particle is proportional to the square of its relative velocity, the particles do not interact with other particles and the walls of the channel, while rotating at a constant speed. Regularities of the change in the speed of movement and the trajectory of the material in pneumatic channels of circular cross section with lower discharge are obtained. The patterns of particle motion in the form of a material point along the surface of the nutrient phase were determined taking into account the air resistance forces, friction forces, humidity and density of the material based on a theoretical study of the fractionation of a grain mixture in pneumatic channels of circular cross section.
On the basis of theoretical studies, taking into account the deflection forces of Zhukovsky and Magnus, the possibility of separating particles of grain material into fractions by aerodynamic properties in vertical channels with lower discharge was determined. The use of airflow as a separating carrier can significantly increase the magnitude of the delineation of trajectories and the criterion of separation of grain into fractions. Simplified mathematical models of motion of components of grain material in air separators with vertical channels allow to determine the rational modes of operation of new technical means.
Keywords
air flow, variable air speed, trajectory, stability of forces, fractions, fractionation process, grain mixture, air separator, pneumatic circular flow
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References
1. Gortinsky, V.V., Demsky, A. B. & Boriskin, M. A. (1980). Processy separirovanija na zernopererabatyvajushhih predprijatijah [Separation processes at grain processing enterprises]. Moskow: Kolos [in Russian].
2. Malis, A.Ya. & Demidov, A.R. (1962). Mashiny dlja ochistki zerna vozdushnym potokom [Machines for cleaning grain by air flow] . Mjskow: Mashgiz [in Russian].
3. Nelyubov, A.I. & Vetrov, E.F. (1967). Pnevmoseparirujushhie sistemy sel'skohozjajstvennyh mashin [Pneumatic separation systems of agricultural machines] . Moskow: Mechanical Engineering [in Russian].
4. Matvov, A.S. (1972). Dvizhenie chasticy zernovyh materialov v pnevmoseparirujushhem kanale [The movement of a particle of grain materials in a pneumatic separation channel]. Reports of VASKHNIL, No. 5, 41-44 [in Russian].
5. Stepanenko, S.P. & Kotov, B.I. (2018). Doslidzhennia zakonomirnostej rukhu komponentiv zernovoho materialu pid chas pnevmohravitatsijnoho fraktsionuvannia u vertykal'nomu kanali [Subsequent laws of the components of the grain material at the hour of pneumatic gravity fraction at the vertical channel] . Mekhanizatsiya and elektrifіkatsіyasіlskogo statehood: zahal'noderzh. zb., Vol. No. 7 (106), 82-89 [in Ukrainian].
6. Stepanenko, S.P., Kotov, B.I. & Spirin, A.V. (2017). Do pytannia matematychnoho opysu rukhu vymolochenoho nasinnia v kil'tsevomu kanali zminnoho pererizu [Before feeding the mathematical, I will describe the rukh of the milled nasinnya in the kiltsevsky channel of the winter season] . Mechanization of the State of the Law of Ukraine: News of the KhNTUSG. P. Vasilenka , Vol. 180, 330-339 [in Ukrainian].
7. Zuev, F.G. (1976). Pnevmatichestkoe transportirovanie na zernopererabatyvajushhih predprijatih [Pneumatic transportation at grain processing enterprises]. Moskow: Kolos [in Russian].
8. Bogomolov, A.V. (2002). Uchet vrashhenija chasticy zernovoj smesi pri dvizhenii ee v vozdushnom potoke [Accounting for the rotation of a particle of a grain mixture when it moves in the air stream] . News of KhDTUSG, Vol. 9, 5-13 [in Russian].
9. Ol'shans'kij V. P., Ol'shans'kij S.V. (2009). O traektorii poleta vrashhajushhejsja sferichiskoj chasticy [On the flight path of a rotating spherical particle]. News of KhNTUSG, Vol. 88, 54-61 [in Russian].
10. Onishchenko, B.P. (2009). Teoretychni doslidzhennia protsesu osidannia krapli T[heoretical progress to the process of creation]. Sіlskogospodarskі machine, Vol.18, 330-340 [in Ukrainian].
11. Barsky, M.D. (1980). Frakcionirovanie poroshkov [Fractionation of powders]. Moskow: Nedra [in Russian].
12. Schlichting G. (Trans.) (1974). Teorija pogranichnogo sloja [Theory of the boundary layer]. Mjskow: “Science” [in Russian].
13. Stepanenko, S.P., Kotov, B.I. & Spirin, A.V. (2017). Do pytannia matematychnoho opysu rukhu vymolochenoho nasinnia v kil'tsevomu kanali zminnoho pererizu [Before feeding the math, I will describe a lot of ground grinding in the Kiltse channel of the winter break]. Visnyk KhNTUSH, Vol. 180, 330–339 [in Ukrainian].
14. Stepanenko, S.P. (2017). Research pneumatic gravity separation grain materials. Mechanization in Agriculture, conserving of the resources: International Scientific Journals of Scientific Technical Union of Mechanical Engineering “Industry 4.0”, Vol. 63, Issue 2, 54–56 [in English].
15. Kotov, B. I., Kalіnіchenko, R.A., Stepanenko, S.P., Shvidya, V.O. & Lisetsky, V.O. (2017). Modeliuvannia tekhnolohichnykh protsesiv v typovykh ob'iektakh pisliazbyral'noi obrobky i zberihannia zerna (separatsiia, sushinnia, aktyvne ventyliuvannia, okholodzhennia) [Modeling of technological processes in typical samples of selective sampling and grain harvesting (separation, drying, actively venting, cooling)]. Nizhin: Vidavets PP Lisenko M.M. [in Ukrainian].
16. Stepanenko,S., Rogovskii, I., Titova, L., Trokhaniak, V. & Trokhaniak, O. (2019). Experimental study in a pneumatic microbiocature separator with apparatus camera. In: Bulletin of the Transilvania University of Brasov, Series II: Forestry, Wood Industry, Agricultural Food Engineering, vol. 12 (61), No. 1.pp. 117-128 [in English].
17. Stepanenko, S.P. et al. (2019). Experimental studies on drying conditions of grain crops with high moisture content in low-pressure environment. INMATEH - AgriculturalEngineering . Jan-Mar 2019, Vol. 57 Issue 1, p141-146. 6p. [in English].
18. Piven, M., Volokh, V., Piven, A.& Kharchenko, S. (2018). Research in to the process of loading the surface of a vibro sieve when a loose mixture is fed unevenly. Eastern-European Journal of Enterprise Technologies. 2018. - VOL 6, № 1 (96). P.62-70. DOI: https://doi.org/10.15587/1729-4061.2018.149739 [in English].
19. Vasylkovskyi, O., Vasylkovska, K., Moroz, S., Sviren, M., Storozhyk, L. (2019). The influence of basic parameters of separating conveyor operation on grain cleaning quality. INMATEH - Agricultural Engineering – Romania, Bucharest: INMA. Vol. 57, No.1, 63-70. [in English].
20. Nesterenko, O.V., Leshchenko, S.M., Vasylkovskyi, O.M. & Petrenko, D.I. (2017). Analytical assessment of the pneumatics eparation quality in the process of grainmulti layer feeding. INMATEH - Agricultural Engineering – Romania, Bucharest: INMA. Vol. 53, No.3, 65-70. [in English].
GOST Style Citations
- Гортинский В. В., Демский А. Б., Борискин М. А. Процессы сепарирования на зерноперерабатывающих предприятиях. Москва: Колос, 1980. 304 с.
- Малис А.Я., Демидов А.Р. Машины для очистки зерна воздушным потоком. Москва: Машгиз, 1962.
- Нелюбов А.И. Пневмосепарирующие системы сельскохозяйственных машин / А.И. Нелюбов, Е.Ф. Ветров. Москва : Машиностроение, 1967. 190 с.
- Матвєєв А.С. Движение частицы зерновых материалов в пневмосепарирующем канале. Доклады ВАСХНИЛ. 1972. №5. С.41-44.
- Степаненко С.П., Котов Б.І. Дослідження закономірностей руху компонентів зернового матеріалу під час пневмогравітаційного фракціонування у вертикальному каналі. Механізація та електрифікація сільського господарства: загальнодерж. зб. 2018. Вип. №7 (106). С.82-89.
- Степаненко С.П., Котов Б.І., Спірін А.В. До питання математичного опису руху вимолоченого насіння в кільцевому каналі змінного перерізу. Механізація сільськогосподарського виробництва: вісник ХНТУСГ ім. П. Василенка. 2017. Вип. 180. С. 330-339.
- Зуев Ф.Г. Пневматичесткое транспортирование на зерноперерабатывающих предприятих. Москва: Колос,1976. 344с.
- Богомолов А.В. Учет вращения частицы зерновой смеси при движении ее в воздушном потоке. 2002. Вип.9. С.5-13.
- Ольшанський В. П., Ольшанський С.В. О траектории полета вращающейся сферичиской частицы. Вісник ХНТУСГ. 2009. Вип.88. С.54-61.
- Онищенко Б.П. Теоретичні дослідження процесу осідання краплі. Сільськогосподарські машини. 2009. Вип18. С.330-340.
- Барский М.Д. Фракционирование порошков . Москва. Недра, 1980. 327 с.
- Шлихтинг Г. Теория пограничного слоя. / Г. Шлихтинг пер. с немецкого. Москва: «Наука», 1974. 711 с.
- Степаненко С. П., Котов Б. І., Спірін А. В. До питання математичного опису руху вимолоченого насіння в кільцевому каналі змінного перерізу. Вісник ХНТУСГ ім.П.Василенка. 2017. Вип. 180 С. 330–339.
- Stepanenko S. P. Research pneumatic gravity separation grain materials. Mechanization in Agriculture, conserving of the resources: International Scientific Journalsof Scientific Technical Union of Mechanical Engineering “Industry 4.0”. Bulgarian, 2017. Vol. 63. Issue 2. S. 54–56.
- Моделювання технологічних процесів в типових об’єктах післязбиральної обробки і зберігання зерна (сепарація, сушіння, активне вентилювання, охолодження): монографія / Б. І. Котов та ін. Ніжин: Видавець ПП Лисенко М. М., 2017. 552 с.
- Stepanenko S. Experimental study in a pneumatic microbiocature separator with apparatus camera / S.Stepanenko, Rogovskii, I., Titova, L., Trokhaniak, V., Trokhaniak, O. In: Bulletin of the Transilvania University of Brasov, Series II: Forestry, Wood Industry, Agricultural Food Engineering, 2019. Vol. 12 (61), No. 1. pp. 117-128.
- Stepanenko S.P. Experimental studies on drying conditions of grain crops with high moisture content in low-pressure environment / Stepanenko S.P, Rogovskii I.L., Titova L.L., Trokhaniak V.I., Solomka O.V., Popyk P.S., Shvidia V.O. INMATEH - Agricultura lEngineering . Jan-Mar 2019, Vol. 57 Issue 1, pр. 141-146.
- Research in to the process of loading the surface of a vibrosieve when a loose mixture is fed unevenly /Piven, M., Volokh, V., Piven, A., Kharchenko, S. // Eastern-European Journal of Enterprise Technologies. 2018. Vol 6, № 1 (96). P.62-70. DOI: https://doi.org/10.15587/1729-4061.2018.149739
- The influence of basic parameters of separating conveyor operation on grain cleaning quality / O. Vasylkovskyi, K. Vasylkovska, S. Moroz, M. Sviren, L. Storozhyk. INMATEH - Agricultural Engineering – Romania, Bucharest: INMA. 2019. Vol. 57, No.1. 63-70.
- Analytical assessment of the pneumatic separation quality in the process of grain multilayer feeding/ O.V. Nesterenko, S.M. Leshchenko, O.M. Vasylkovskyi, D.I. Petrenko. INMATEH - Agricultural Engineering – Romania, Bucharest: INMA. 2017. Vol. 53, No.3. 65-70.
Copyright (c) 2019 Borys Kotov, Sergiy Stepanenko
Investigation of the Movement of Particles of Grain Material in the Vertical Channels of the Pneumogravitational Classifier
About the Authors
Borys Kotov, Professor, Doctor in Technics (Doctor of Technics Sciences), Podolsk State Agrarian and Technical University (PDATU), Kamyanets-Podilsky, Ukraine
Sergiy Stepanenko, PhD in Technics (Candidate of Technics Sciences), Senior Researcher, National Scientific Center "Institute of Mechanization and Electrification of Agriculture", Kyiv, Ukraine, e-mail:stepanenko_s@ukr.net
Abstract
The separation of grain mixtures into fractions by aerodynamic characteristics allows to increase the level of purity of the basic material - grains, seeds, etc., that is, to obtain a product with a given level of quality. The article discusses increasing the efficiency of fractionation of grain mixtures in pneumatic ducts of circular cross section by determining the rational shape and parameters of the material supply, as well as the shape of the pneumatic channel and options for unloading fractions. Based on the use of aerodynamic provisions, an original mathematical model of the process of moving the particles introduced at an angle to the vertical pneumatic channel was created. The proposed model takes into account the logarithmic irregularity of the air velocity field plot. A number of assumptions have been made: air turbulent mode, the resistance of the particle is proportional to the square of its relative velocity, the particles do not interact with other particles and the walls of the channel, while rotating at a constant speed. Regularities of the change in the speed of movement and the trajectory of the material in pneumatic channels of circular cross section with lower discharge are obtained. The patterns of particle motion in the form of a material point along the surface of the nutrient phase were determined taking into account the air resistance forces, friction forces, humidity and density of the material based on a theoretical study of the fractionation of a grain mixture in pneumatic channels of circular cross section. On the basis of theoretical studies, taking into account the deflection forces of Zhukovsky and Magnus, the possibility of separating particles of grain material into fractions by aerodynamic properties in vertical channels with lower discharge was determined. The use of airflow as a separating carrier can significantly increase the magnitude of the delineation of trajectories and the criterion of separation of grain into fractions. Simplified mathematical models of motion of components of grain material in air separators with vertical channels allow to determine the rational modes of operation of new technical means.Keywords
Full Text:
PDFReferences
1. Gortinsky, V.V., Demsky, A. B. & Boriskin, M. A. (1980). Processy separirovanija na zernopererabatyvajushhih predprijatijah [Separation processes at grain processing enterprises]. Moskow: Kolos [in Russian].
2. Malis, A.Ya. & Demidov, A.R. (1962). Mashiny dlja ochistki zerna vozdushnym potokom [Machines for cleaning grain by air flow] . Mjskow: Mashgiz [in Russian].
3. Nelyubov, A.I. & Vetrov, E.F. (1967). Pnevmoseparirujushhie sistemy sel'skohozjajstvennyh mashin [Pneumatic separation systems of agricultural machines] . Moskow: Mechanical Engineering [in Russian].
4. Matvov, A.S. (1972). Dvizhenie chasticy zernovyh materialov v pnevmoseparirujushhem kanale [The movement of a particle of grain materials in a pneumatic separation channel]. Reports of VASKHNIL, No. 5, 41-44 [in Russian].
5. Stepanenko, S.P. & Kotov, B.I. (2018). Doslidzhennia zakonomirnostej rukhu komponentiv zernovoho materialu pid chas pnevmohravitatsijnoho fraktsionuvannia u vertykal'nomu kanali [Subsequent laws of the components of the grain material at the hour of pneumatic gravity fraction at the vertical channel] . Mekhanizatsiya and elektrifіkatsіyasіlskogo statehood: zahal'noderzh. zb., Vol. No. 7 (106), 82-89 [in Ukrainian].
6. Stepanenko, S.P., Kotov, B.I. & Spirin, A.V. (2017). Do pytannia matematychnoho opysu rukhu vymolochenoho nasinnia v kil'tsevomu kanali zminnoho pererizu [Before feeding the mathematical, I will describe the rukh of the milled nasinnya in the kiltsevsky channel of the winter season] . Mechanization of the State of the Law of Ukraine: News of the KhNTUSG. P. Vasilenka , Vol. 180, 330-339 [in Ukrainian].
7. Zuev, F.G. (1976). Pnevmatichestkoe transportirovanie na zernopererabatyvajushhih predprijatih [Pneumatic transportation at grain processing enterprises]. Moskow: Kolos [in Russian].
8. Bogomolov, A.V. (2002). Uchet vrashhenija chasticy zernovoj smesi pri dvizhenii ee v vozdushnom potoke [Accounting for the rotation of a particle of a grain mixture when it moves in the air stream] . News of KhDTUSG, Vol. 9, 5-13 [in Russian].
9. Ol'shans'kij V. P., Ol'shans'kij S.V. (2009). O traektorii poleta vrashhajushhejsja sferichiskoj chasticy [On the flight path of a rotating spherical particle]. News of KhNTUSG, Vol. 88, 54-61 [in Russian].
10. Onishchenko, B.P. (2009). Teoretychni doslidzhennia protsesu osidannia krapli T[heoretical progress to the process of creation]. Sіlskogospodarskі machine, Vol.18, 330-340 [in Ukrainian].
11. Barsky, M.D. (1980). Frakcionirovanie poroshkov [Fractionation of powders]. Moskow: Nedra [in Russian].
12. Schlichting G. (Trans.) (1974). Teorija pogranichnogo sloja [Theory of the boundary layer]. Mjskow: “Science” [in Russian].
13. Stepanenko, S.P., Kotov, B.I. & Spirin, A.V. (2017). Do pytannia matematychnoho opysu rukhu vymolochenoho nasinnia v kil'tsevomu kanali zminnoho pererizu [Before feeding the math, I will describe a lot of ground grinding in the Kiltse channel of the winter break]. Visnyk KhNTUSH, Vol. 180, 330–339 [in Ukrainian].
14. Stepanenko, S.P. (2017). Research pneumatic gravity separation grain materials. Mechanization in Agriculture, conserving of the resources: International Scientific Journals of Scientific Technical Union of Mechanical Engineering “Industry 4.0”, Vol. 63, Issue 2, 54–56 [in English].
15. Kotov, B. I., Kalіnіchenko, R.A., Stepanenko, S.P., Shvidya, V.O. & Lisetsky, V.O. (2017). Modeliuvannia tekhnolohichnykh protsesiv v typovykh ob'iektakh pisliazbyral'noi obrobky i zberihannia zerna (separatsiia, sushinnia, aktyvne ventyliuvannia, okholodzhennia) [Modeling of technological processes in typical samples of selective sampling and grain harvesting (separation, drying, actively venting, cooling)]. Nizhin: Vidavets PP Lisenko M.M. [in Ukrainian].
16. Stepanenko,S., Rogovskii, I., Titova, L., Trokhaniak, V. & Trokhaniak, O. (2019). Experimental study in a pneumatic microbiocature separator with apparatus camera. In: Bulletin of the Transilvania University of Brasov, Series II: Forestry, Wood Industry, Agricultural Food Engineering, vol. 12 (61), No. 1.pp. 117-128 [in English].
17. Stepanenko, S.P. et al. (2019). Experimental studies on drying conditions of grain crops with high moisture content in low-pressure environment. INMATEH - AgriculturalEngineering . Jan-Mar 2019, Vol. 57 Issue 1, p141-146. 6p. [in English].
18. Piven, M., Volokh, V., Piven, A.& Kharchenko, S. (2018). Research in to the process of loading the surface of a vibro sieve when a loose mixture is fed unevenly. Eastern-European Journal of Enterprise Technologies. 2018. - VOL 6, № 1 (96). P.62-70. DOI: https://doi.org/10.15587/1729-4061.2018.149739 [in English].
19. Vasylkovskyi, O., Vasylkovska, K., Moroz, S., Sviren, M., Storozhyk, L. (2019). The influence of basic parameters of separating conveyor operation on grain cleaning quality. INMATEH - Agricultural Engineering – Romania, Bucharest: INMA. Vol. 57, No.1, 63-70. [in English].
20. Nesterenko, O.V., Leshchenko, S.M., Vasylkovskyi, O.M. & Petrenko, D.I. (2017). Analytical assessment of the pneumatics eparation quality in the process of grainmulti layer feeding. INMATEH - Agricultural Engineering – Romania, Bucharest: INMA. Vol. 53, No.3, 65-70. [in English].
GOST Style Citations
- Гортинский В. В., Демский А. Б., Борискин М. А. Процессы сепарирования на зерноперерабатывающих предприятиях. Москва: Колос, 1980. 304 с.
- Малис А.Я., Демидов А.Р. Машины для очистки зерна воздушным потоком. Москва: Машгиз, 1962.
- Нелюбов А.И. Пневмосепарирующие системы сельскохозяйственных машин / А.И. Нелюбов, Е.Ф. Ветров. Москва : Машиностроение, 1967. 190 с.
- Матвєєв А.С. Движение частицы зерновых материалов в пневмосепарирующем канале. Доклады ВАСХНИЛ. 1972. №5. С.41-44.
- Степаненко С.П., Котов Б.І. Дослідження закономірностей руху компонентів зернового матеріалу під час пневмогравітаційного фракціонування у вертикальному каналі. Механізація та електрифікація сільського господарства: загальнодерж. зб. 2018. Вип. №7 (106). С.82-89.
- Степаненко С.П., Котов Б.І., Спірін А.В. До питання математичного опису руху вимолоченого насіння в кільцевому каналі змінного перерізу. Механізація сільськогосподарського виробництва: вісник ХНТУСГ ім. П. Василенка. 2017. Вип. 180. С. 330-339.
- Зуев Ф.Г. Пневматичесткое транспортирование на зерноперерабатывающих предприятих. Москва: Колос,1976. 344с.
- Богомолов А.В. Учет вращения частицы зерновой смеси при движении ее в воздушном потоке. 2002. Вип.9. С.5-13.
- Ольшанський В. П., Ольшанський С.В. О траектории полета вращающейся сферичиской частицы. Вісник ХНТУСГ. 2009. Вип.88. С.54-61.
- Онищенко Б.П. Теоретичні дослідження процесу осідання краплі. Сільськогосподарські машини. 2009. Вип18. С.330-340.
- Барский М.Д. Фракционирование порошков . Москва. Недра, 1980. 327 с.
- Шлихтинг Г. Теория пограничного слоя. / Г. Шлихтинг пер. с немецкого. Москва: «Наука», 1974. 711 с.
- Степаненко С. П., Котов Б. І., Спірін А. В. До питання математичного опису руху вимолоченого насіння в кільцевому каналі змінного перерізу. Вісник ХНТУСГ ім.П.Василенка. 2017. Вип. 180 С. 330–339.
- Stepanenko S. P. Research pneumatic gravity separation grain materials. Mechanization in Agriculture, conserving of the resources: International Scientific Journalsof Scientific Technical Union of Mechanical Engineering “Industry 4.0”. Bulgarian, 2017. Vol. 63. Issue 2. S. 54–56.
- Моделювання технологічних процесів в типових об’єктах післязбиральної обробки і зберігання зерна (сепарація, сушіння, активне вентилювання, охолодження): монографія / Б. І. Котов та ін. Ніжин: Видавець ПП Лисенко М. М., 2017. 552 с.
- Stepanenko S. Experimental study in a pneumatic microbiocature separator with apparatus camera / S.Stepanenko, Rogovskii, I., Titova, L., Trokhaniak, V., Trokhaniak, O. In: Bulletin of the Transilvania University of Brasov, Series II: Forestry, Wood Industry, Agricultural Food Engineering, 2019. Vol. 12 (61), No. 1. pp. 117-128.
- Stepanenko S.P. Experimental studies on drying conditions of grain crops with high moisture content in low-pressure environment / Stepanenko S.P, Rogovskii I.L., Titova L.L., Trokhaniak V.I., Solomka O.V., Popyk P.S., Shvidia V.O. INMATEH - Agricultura lEngineering . Jan-Mar 2019, Vol. 57 Issue 1, pр. 141-146.
- Research in to the process of loading the surface of a vibrosieve when a loose mixture is fed unevenly /Piven, M., Volokh, V., Piven, A., Kharchenko, S. // Eastern-European Journal of Enterprise Technologies. 2018. Vol 6, № 1 (96). P.62-70. DOI: https://doi.org/10.15587/1729-4061.2018.149739
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