Mathematic simulation of cutting unloading from the bunker
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صندلی اداریAbstract
The peculiarities of cutting movement at unloading them from the hopper are described. The analysis of the scientific researches on bulk materials movement and bridging is given. To develop the mathematical model of cutting unloading the layer should be described as a pseudoliquid, that consists of discrete components (cuttings) and gaseous medium (air). The Navier-Stokes equation can be applied to the process of cutting unloading and velocity field. The equation of pseudoliquid motion is a nonlinear integral and differential equation. The initial and boundary conditions for speed of cutting movement are identified. As a result of research has been theoretically obtained a formula, that evaluates the rate of planting material unloading, the adequacy of which has already been partially tested in experimental experiments carried out by the authors on the way to creating an automatic planting machine.
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References
ADAMCHUK, V. V.; BARANOV, H. L.; BARANOVSKYI, O. S. (2004) Suchasni tendentsii rozvytku konstruktsii silskohospodarskoi tekhniky [Modern trends in the development of agricultural machinery designs]. Kyiv: Ahrarna nauka.
ALFEROV, K. V. (1966) Bunkernye ustanovki [Hopper units]. Moscow: Mashgiz.
BAGNOLD, R. A. (1954) Experiments on a gravity Free Dispersion of large Solid Spheres in a Newtonian Fluid under Shear. Proc. Roy. Soc. London, v. 225, p. 49-63.
BOGOMYAGKIH, V. A.; KUNAKOV, V. S.; VORONOJ, N. S. (2000) Mexanika vlazhnyx svodoobrazuyushhix zernovyx materialov v bunkerax [Mechanics of bridging wet grain materials in bins]. Zernograd: Rfriama.
BOHOLIUBOV, N. N.; MYTROPOLSKYI, J. A. (1974) Asimptoticheskie metody v teorii nelinejnyx kolebanij [Asymptotic methods in the theory of nonlinear oscillations]. Moscow: Nauka.
BOHOMIAHKIH, V. A., PEPCHUK, A. P. (1985) Intensifikaciya razgruzki bunkernyx ustrojstv v usloviyax svodoobrazovaniya zernistyx materialov [The improvement of unloading of hopper devices in terms of grain bridging]. Zernohrad.
BORUSIEWICZ, A.; KAPELA, K.; BULGAKOV, V.; ADAMCHUK, V;
GUTCOL, T. (2014) Response of the selected varieties of common osier (Salix viminals) to organic and mineral fertilization in light soil. Agricultural Engineering, v. 18, p. 135-142.
DOLGUNIN, V. N.; BORSHHEV, V. YA. (2005) Bystrye gravitacionnye techeniya zernistyx materialov: texnika izmereniya, zakonomernosti, texnologicheskoe primenenie [Rapid gravity flow of granular materials: Measuring equipment, patterns, technological application]. Moskow: Izdatelstvo mashinostroenie-1.
DZIEDZIC, K.; ŁAPCZYŃSKA-KORDON, B.; MUDRYK, K. (2017) Decision support systems to establish plantations of energy crops on the example of willow (Salix Viminalis L.). Scientific achievements in agricultural engineering, agronomy and veterinary medicine polish Ukrainian cooperation, v. 1, n. 1, p. 150-160.
GENIEV G. A. (1958) Voprosy dinamiki sypuchej sredy [Issues of the flowing medium dynamics]. Moskow: Gosstrojizdat.
GORYUSHINSKIJ, I. V. (2003) Yomkosti dlya sypuchix gruzov v transportno-gruzovyx sistemax [Containers for bulk cargo in the transportation and freight systems]. Samara: SamGAPS.
GYACHEV, L. V. (1968) Dvizhenie sypuchix materialov v trubax i bunkerax [The movement of bulk materials in pipes and bins]. Moskow: Mashinostroenie.
GYACHEV, L.V. (1992) Osnovy teorii bunkerov [Fundamentals of hopper theory]. Novosibirsk: izd-vo novosibirskogo universiteta.
IVANYSHYN, V.; HUTSOL, T. (2017) The Ukrainian Agricultural Groups State and Agromachinery Rovision. Scientific achievements in agricultural engineering, agronomy and veterinary medicine polish Ukrainian cooperation, v. 1, p. 5-18.
JANSEN, H. (1895) Versuche uber Getreidedruck in Silozellen [Experiments on grain pressure in silo cells]. Berlin.
JENIKE, E. V. (1968) Skladirovanie i vypusk sypuchix materialov [Storage and release of bulk materials]. Moscow: World.
JENKINS, J. T.; COWIN, S. C. (1979) Theories for Flowing granular Materials. Mech. Fluid Engng. and Bioengng. Conf. AMD, v. 51, p. 79-89.
KLEJN, G. K. (1956) Stroitelnaya mexanika sypuchix tel [Construction mechanics of loose bodies]. Moskow: Gosgortexizdat
KENEMAN, F. E. (1960). O svobodnom istechenii cypuchih tel [On the free flow of loose bodies]. Proceedings Academy of Sciences of the USSR: Mekhanyka y mashynostroenye, v. 2, p.70-77.
KOZINA, T.; OVCHARUK, O.; TRACH, I.; LEVYTSKA, V.; OVCHARUK, O.; HUTSOL, T. (2018) Spread Mustard and Prospects for Biofuels. Renewable Energy Sources: Engineering, Technology, Innovation, p. 791-799.
KRYLOV, V. I.; BOBKOV, V.; MONASTYRSKYI, P. I. (1976) Vychislitelnye metody [Computor methods]. V. 2. Moscow: Nauka.
LAVRENTEV, M. A.; SHABAT, B. V. (1958) Metody teorii funkcij kompleksnogo peremennogo [Methods of the theory of functions of a complex variable. Moskow: Izd-vo Physics and Mathematics Lit, 674 p.
NYHMATULIN, R. I. (1978) Osnovy mexaniki geterogennyx sred [The basics of mechanics of heterogeneous mediums]. Moscow: Nauka.
OVCHARUK, O.; HUTSOL, T. D.; OVCHARUK, O. (2018) Ekolohichni tendentsii ta perspektyvy vykorystannia biomasy roslyn dlia vyrobnytstva alternatyvnoho palyva v Ukraini [Ecological trends and perspectives of using plants biomass for the development of alternative fuels in Ukraine]. Agrarian science and education in the European integration context, p. 29-31.
PROTODYAKONOV, M. M.; TEDER, R. I.; ILNICKAYA, E. I. (1981) Raspredelenie i korrelyaciya pokazatelej fizicheskix svojstv gornyx porod: spravochnoe posobie [Distribution and correlation of indicators of the physical properties of rocks]. Moskow: Nedra.
PRUDNIKOV, A. P.; BRICHKOV, J. A.; MARYCHEV, O. (1981) Integraly i ryady [Integrals and series]. Moskow: Science.
SAVAGE, S. B.; COWIN, S. C. (1999) Theories for Flow Granular Materials. American Society of Mechanical Engineers, Buffalo, N.Y., p. 79-82.
SCHULS, P. (1967) Fur das Berghutten-und Salinenwesen in Prunsstaate [For the mountain hut and saltworks in Prunsstaate]. Berlin.
SEMENOV, V. F. (1980) Mexaniko-texnologicheskie osnovy istecheniya zernistyx selskoxozyajstvennyx materialov iz emkostej [Mechanical and technological foundations of the expiration of granular agricultural materials from containers]. Novosibirsk.
SOKOLOVSKIY, V. V (1954) Statika sypuchej sredy [Statics of granular media]. Moskow: Gl. Iz-vo tekh. literatury.
SOUS, S. (1971). Gidrodinamika mnogofaznyx sistem [Hydrodynamics of multiphase systems]. Moscow: Mir.
TYSHCHENKO, L. N. (2004) Intenifikaciya separirovaniya zerna [Identification of grain separation]. Kharkov: Osnova, 224 p.
TYSHCHENKO, L. N.; OLSHANSKYI, V. N. (2011) Vibroreshyotochnaya separaciya zernovyx smesej. [Vibro latticed separation of grain mixes]. Kharkov: Mіsruk.
VARLAMOV, A. V. (2011) Isxodnye predposylki k sostavleniyu obobshhennoj matematicheskoj modeli dinamicheskoj sistemy „bunkernoe ustrojstvo s sypuchim materialom-svodoobrazovanie-mexanizm razrusheniya svodoobrazovaniya” [The background for designing the mathematical model of dynamic system “Hopper device with bulk material —bridging — the mechanism of fracture of bridging”]. Vestnik samarskogo gosudarstvennogo universiteta putej soobshheniya, v. 2, n. 12, p. 79–89.
VOITIUK, D. H.; YATSUN, S. S.; DOVZHYK, M. I. A. (2008) Silskohospodarski mashyny: osnovy teorii ta rozrakhunku [Agricultural Machinery: The Basics of Theory and Calculation]. Sumy: Universytetska knyha.
YERMAKOV, S. V. (2017) Perspektyvy udoskonalennia konstruktsii dlia sadinniazhyvtsiv enerhetychnykh kultur [Perspectives of improvement of constructions for energy crop planting]. Podilian Bulletin: agriculture, engineering, economics, v. 2, n. 26, p. 37-45.
YERMAKOV, S.; BORYS, M. (2015) Efficiency analysis of the energy willow planting devices. Materialy XI Mezinarodni vedecko-prakticka konference “Veda a vznik - 2015”, v. 14. Praha: Publishing House Education and Science, p. 47-49.
YERMAKOV, S.; HUTSOL, T. (2018) Osobennosti istecheniya neodnorodnyx sterzhneobraznyx materialov [Features of the heterogeneous rod-like materials outflow]. Technological and methodological aspects of agri-food engineering in young scientist research. Krakow, p. 55-68.
YERMAKOV, S.; TULEJ, M.; TULEJ, W.; SHEVCHUK, I. (2018) Analiz konstruktsiy avtomativ sadinnia [Construction analysis means of plantingі automation]. Materialy XXXIV Mizhnarodnoi naukovo-praktychnoi internet-konferentsii «Tendentsii ta perspektyvy rozvytku nauky i osvity v umovakh hlobalizatsii», v. 34, p. 615-619.
ZENKOV, R. L. (1964) Mexanika nasypnyx gruzov [Mechanics of bulk cargo]. Moskow: Mashinostroenie.
ZENKOV, R. L.; GRINEVICH, G. P.; ISAEV, V. S. (1966) Bunkernye ustrojstva [Hopper devices]. Moskow: Mashinostroenie.