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Mathematical modeling of mixing-grinding of feed by vertical conical screw

НазваMathematical modeling of mixing-grinding of feed by vertical conical screw
Назва англійськоюMathematical modeling of mixing-grinding of feed by vertical conical screw
АвториGrigoriy Vodyanitsky; Irina Slyusarenko; Valentyn Tymkiv; Vitaliy Mamchur; Andriy Dovbysh
ПринадлежністьZhytomyr National Agroecological University, Zhytomyr, Ukraine Zhytomyr Agrotechnical College, Zhytomyr, Ukraine
Бібліографічний описMathematical modeling of mixing-grinding of feed by vertical conical screw / Grigoriy Vodyanitsky; Irina Slyusarenko; Valentyn Tymkiv; Vitaliy Mamchur; Andriy Dovbysh // Scientific Journal of TNTU. — Tern. : TNTU, 2019. — Vol 95. — No 3. — P. 67–74.
Bibliographic description:Vodyanitsky G.; Slyusarenko I.; Tymkiv V.; Mamchur V.; Dovbysh A. (2019) Mathematical modeling of mixing-grinding of feed by vertical conical screw. Scientific Journal of TNTU (Tern.), vol 95, no 3, pp. 67–74.
DOI: https://doi.org/10.33108/visnyk_tntu2019.03.067
УДК

636.084.76

Ключові слова

mixer-shredder, model, dimensionless complex, dimensional analysis, vertical screw of variable diameter, similarity criteria.

The modeling of a technical system is one of the first stages of cognition of its properties with the aim of further improvement and proper use. Mixing of solid components with their simultaneous grinding by a vertical conical screw working body is a complex workflow, which the authors analytically described through the main parameters of the working body and the modes of the process. The obtained generalized factors, due to which the number of factors from seven decreased to four. This makes it possible to reduce the amount of experimental work by eight times and provide effective results that evaluate the actual action of the factors acting on the selected performance criterion, the coefficient of unevenness in a complex, rather than separately. The resulting model allows you to make a qualitative and quantitative assessment of the process of operation of the feeder-mixer-grinder, to optimize its parameters of the working bodies and modes of operation.

 

ISSN:2522-4433
Перелік літератури
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  2. Strenk F. Peremeshivanie i apparatyi s meshalkami. Stirring and agitating machines. Leningrad: Himiya, 1985. 384 р. [Іn Russian].
  3. Kukta G. M. Optimalnaya prodolzhitelnost smeshivaniya komponentov kombikormov. The optimal duration of mixing the components of feed. Mehanizatsiya i elektrifikatsiya selskogo hazyaystva. 1971. № 11. Р. 74–79. [Іn Russian].
  4. Melnikov S. V. Mehanizatsiya i avtomatizatsiya zhivotnovodcheskih ferm. Mechanization and automation of livestock farms. Leningrad: Kolos, 1978. 560 р. [Іn Russian].
  5. Dereza O. O., Dereza S. V. Analiz metodiv modeliuvannia protsesu zmishuvannia kormiv. Analysis of methods for modeling the process of mixing feed. Naukovyi visnyk TDATU. 2014. № 4. Т. 1. Р. 95–101. [Іn Ukrainian].
  6. Guhman A. A. Vvedenie v teoriyu podobiya. Introduction to the theory of similarity. Moscow: Vyisshaya shkola, 1973. 296 р. [Іn Russian].
  7. Briukhovetskyi A. M., Boiarskyi O. V. Modeliuvannia protsesu zmishuvannia sypkykh komponentiv u lopatevomu zmichuvachi periodychnoi dii. Simulation of the process of mixing friable components in a blade of periodic action: a monograph. Kyiv: Urozhai, 1994. 136 р. [Іn Ukraine].
  8. Rud A. V., Evstratova N. N., Belousov K. Yu. Razlichnyie podhodyi k modelirovaniyu protsessa dvizheniya materiala v vertikalnom vintovom konveyere. Different approaches to modeling the process of movement of material in a vertical screw conveyor. Sb. nauchn. tr. Sworld. 2013. № 4. Т. 1. P. 68–74. [Іn Russian].
  9. Isaienko A. M., Kachan Yu. H., Ivanov V. I. Pro modeliuvannia sehrehatsii rudy pid chas rukhu pokhyloiu poverkhneiu. On modeling of ore segregation during sloping motion. Matematychne modeliuvannia. 2007. № 1. Р. 33–39. [Іn Ukraine].
  10. Nepochatov D. M., Rusalev A. M., Boyko I. G. Svodoobrazovanie syipuchih kormov i metodika ego opredeleniya. The formation of bulk feed and the method of its determination. Visnyk Harkivskoho natsionalnoho tekhnichnoho universytetu. 2011. № 108. Р. 223–230. [Іn Ukraine].
  11. Hevko I. B., Kaрatsina Yu. B., Levenets V. D. Zmishuvannia sypkykh materialiv hvyntovymy robochymy orhanamy. Mixing of bulk materials with screw working organs. Mizhvuzivskyi zbirnyk Luganskoho dergavnogo tekhnichnoho universytetu. 2002. № 11. Р. 75–83. [Іn Ukraine].
  12. Chvartatskyi R. I. Obhruntuvannia parametriv mashyn dlia podribnennia i zmishuvannia kormiv. Justification of parameters of machines for grinding and mixing of forages. Ternopil, 2017. 454 р. [Іn Ukraine].
  13. Ponomarev K. K. Sostavlenie differentsialnyih uravneniy. Compilation of differential equations. Moskva: Vyisshaya shkola, 1973. 560 р. [Іn Russian].
  14. Polyuhovich N. V. Metodicheskie osnovyi obucheniya studentov resheniyu prikladnyih zadach po teme: Differentsialnyie uravneniya. Methodical foundations of teaching students to solve applied problems on the topic: “Differential Equations”. Yaroslavskiy pedagogicheskiy vestnik. 2010. № 2. Р. 131–139. [Іn Russian].
  15. Hlinenko L. K., Sukhonosov O. H. Osnovy modeliuvannia tekhnichnykh system: monohrafiia. Fundamentals of technical systems modeling: monograph. Lviv: Besket Bit, 2003. 173 р. [Іn Ukraine].
  16. Shenk H. Teoriya ingenernogo eksperimenta. Theory of Engineering Experiment. Moskow: Mir, 1972. 381 р. [Іn Russian].
  17. Khmelovskyi V. Obhruntuvannia parametriv bunkera kormopryhotuvalnoho ahrehatu. Justification of the parameters of the hopper of the feed preparation unit. Tekhnika i tekhnolohii APK. 2013. № 6. Р. 13–15. [Іn Ukraine].
  18. Basarhin V. A., Vodianytskyi H. P., Tymkiv V. V. Vyznachennia tekhnichnoho rivnia kormorozdavachiv-zmishuvachiv firmy svitu. Determination of the technical level of fodder mixers of the firm of the world. Tvarynnytstvo Ukrainy. 2017. № 3–4. Р. 10–13. [Іn Ukraine].
  19. Hrabar I. H., Vodianytskyi H. P. Theory and technology of scientific research. URL: http:// igseiense.com/content/images/boons/_paf_2013.
  20. Shterbachek Z., Tausk P. Peremeshivanie v himicheskoy promyishlennosti. Mixing in the chemical industry. Leningrad: GSHCh, 1963. 416 р. [Іn Russian].
  21. Venikov V. A., Venikov G. V. Teoriya podobiya i modelirovanie. Similarity Theory and Modeling. Moscow: Vyisshaya shkola, 1984. 439 р. [Іn Russian].
  22. Grigorev A. M. Vintovyie konveeryi. Screw conveyors. Moscow: Mashinostroenie, 1972. [Іn Russian].
References:
  1. Makarov Y. I. Apparatyi dlya smesheniya syipuchih materialov. Apparatus for mixing bulk materials. Moscow: Mashinostroenie, 1973. 216 р. [Іn Russian].
  2. Strenk F. Peremeshivanie i apparatyi s meshalkami. Stirring and agitating machines. Leningrad: Himiya, 1985. 384 р. [Іn Russian].
  3. Kukta G. M. Optimalnaya prodolzhitelnost smeshivaniya komponentov kombikormov. The optimal duration of mixing the components of feed. Mehanizatsiya i elektrifikatsiya selskogo hazyaystva. 1971. № 11. Р. 74–79. [Іn Russian].
  4. Melnikov S. V. Mehanizatsiya i avtomatizatsiya zhivotnovodcheskih ferm. Mechanization and automation of livestock farms. Leningrad: Kolos, 1978. 560 р. [Іn Russian].
  5. Dereza O. O., Dereza S. V. Analiz metodiv modeliuvannia protsesu zmishuvannia kormiv. Analysis of methods for modeling the process of mixing feed. Naukovyi visnyk TDATU. 2014. № 4. Т. 1. Р. 95–101. [Іn Ukrainian].
  6. Guhman A. A. Vvedenie v teoriyu podobiya. Introduction to the theory of similarity. Moscow: Vyisshaya shkola, 1973. 296 р. [Іn Russian].
  7. Briukhovetskyi A. M., Boiarskyi O. V. Modeliuvannia protsesu zmishuvannia sypkykh komponentiv u lopatevomu zmichuvachi periodychnoi dii. Simulation of the process of mixing friable components in a blade of periodic action: a monograph. Kyiv: Urozhai, 1994. 136 р. [Іn Ukraine].
  8. Rud A. V., Evstratova N. N., Belousov K. Yu. Razlichnyie podhodyi k modelirovaniyu protsessa dvizheniya materiala v vertikalnom vintovom konveyere. Different approaches to modeling the process of movement of material in a vertical screw conveyor. Sb. nauchn. tr. Sworld. 2013. № 4. Т. 1. P. 68–74. [Іn Russian].
  9. Isaienko A. M., Kachan Yu. H., Ivanov V. I. Pro modeliuvannia sehrehatsii rudy pid chas rukhu pokhyloiu poverkhneiu. On modeling of ore segregation during sloping motion. Matematychne modeliuvannia. 2007. № 1. Р. 33–39. [Іn Ukraine].
  10. Nepochatov D. M., Rusalev A. M., Boyko I. G. Svodoobrazovanie syipuchih kormov i metodika ego opredeleniya. The formation of bulk feed and the method of its determination. Visnyk Harkivskoho natsionalnoho tekhnichnoho universytetu. 2011. № 108. Р. 223–230. [Іn Ukraine].
  11. Hevko I. B., Kaрatsina Yu. B., Levenets V. D. Zmishuvannia sypkykh materialiv hvyntovymy robochymy orhanamy. Mixing of bulk materials with screw working organs. Mizhvuzivskyi zbirnyk Luganskoho dergavnogo tekhnichnoho universytetu. 2002. № 11. Р. 75–83. [Іn Ukraine].
  12. Chvartatskyi R. I. Obhruntuvannia parametriv mashyn dlia podribnennia i zmishuvannia kormiv. Justification of parameters of machines for grinding and mixing of forages. Ternopil, 2017. 454 р. [Іn Ukraine].
  13. Ponomarev K. K. Sostavlenie differentsialnyih uravneniy. Compilation of differential equations. Moskva: Vyisshaya shkola, 1973. 560 р. [Іn Russian].
  14. Polyuhovich N. V. Metodicheskie osnovyi obucheniya studentov resheniyu prikladnyih zadach po teme: Differentsialnyie uravneniya. Methodical foundations of teaching students to solve applied problems on the topic: “Differential Equations”. Yaroslavskiy pedagogicheskiy vestnik. 2010. № 2. Р. 131–139. [Іn Russian].
  15. Hlinenko L. K., Sukhonosov O. H. Osnovy modeliuvannia tekhnichnykh system: monohrafiia. Fundamentals of technical systems modeling: monograph. Lviv: Besket Bit, 2003. 173 р. [Іn Ukraine].
  16. Shenk H. Teoriya ingenernogo eksperimenta. Theory of Engineering Experiment. Moskow: Mir, 1972. 381 р. [Іn Russian].
  17. Khmelovskyi V. Obhruntuvannia parametriv bunkera kormopryhotuvalnoho ahrehatu. Justification of the parameters of the hopper of the feed preparation unit. Tekhnika i tekhnolohii APK. 2013. № 6. Р. 13–15. [Іn Ukraine].
  18. Basarhin V. A., Vodianytskyi H. P., Tymkiv V. V. Vyznachennia tekhnichnoho rivnia kormorozdavachiv-zmishuvachiv firmy svitu. Determination of the technical level of fodder mixers of the firm of the world. Tvarynnytstvo Ukrainy. 2017. № 3–4. Р. 10–13. [Іn Ukraine].
  19. Hrabar I. H., Vodianytskyi H. P. Theory and technology of scientific research. URL: http:// igseiense.com/content/images/boons/_paf_2013.
  20. Shterbachek Z., Tausk P. Peremeshivanie v himicheskoy promyishlennosti. Mixing in the chemical industry. Leningrad: GSHCh, 1963. 416 р. [Іn Russian].
  21. Venikov V. A., Venikov G. V. Teoriya podobiya i modelirovanie. Similarity Theory and Modeling. Moscow: Vyisshaya shkola, 1984. 439 р. [Іn Russian].
  22. Grigorev A. M. Vintovyie konveeryi. Screw conveyors. Moscow: Mashinostroenie, 1972. [Іn Russian].
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