CALCULATION FORMULAS FOR DETERMINING THE SPEED OF UNLOADING ENERGY WILLOW CUTTINGS FROM THE POINT OF VIEW OF HYDRODYNAMIC MULTIPHASE SYSTEMS
Keywords:
unloading of cuttings, energy willow, planter, mathematical model, Navier–Stokes equation, Laplace transform, calculation equationsAbstract
Numerous studies of the process of vaulting have established only some dependencies that explain the essence of this process. But today there is no single theory of leakage of bulk materials and cryptocurrency processes in the hopper, so the problem remains relevant. This work is the final of a series of works by the authors devoted to the construction of a mathematical model of the process of unloading cuttings from the slot hopper, so its purpose is to derive calculation formulas for the mass of cuttings by gravity unloading them from the slot hopper. The research is based on the known scientific methods of substantiation of the process of unloading bulk material from tanks, with the development of issues of solving the problems of basement formation and continuous pouring of the material. Such methods include the use of computational mathematics to build a mathematical model of the movement of cuttings and its processing In the article it is offered to consider gravitational unloading of cuttings of an energy willow from the point of view of hydrodynamic multiphase systems. According to this approach, the set of cuttings is considered as a pseudo-liquid, consisting of two phases: discrete (cuttings) and continuous (air). Taking each of these phases as a continuous medium, we can consider the unloading of cuttings as the motion of a viscous incompressible pseudo-liquid, the velocity field of which can be characterized by the Navier–Stokes equation. The result of the development is an algorithm for constructing a mathematical model of motion of such a pseudofluid and the transition to the calculated equations of motion with initial and boundary conditions, which will eventually lead to the possibility of theoretical analysis of the process of unloading cuttings from slot bunkers.
References
Roik, M. V., Sinchenko, V. M., Fuchylo, Ya. D. (2015). Enerhetychna verba: tekhnolohiia vyroshchuvannia ta vykorystannia. [Energy willow: technology of cultivation and use]. Vinnytsia : Nilan- LTD.
Frączek, J., Mudryk, K. (2005). Jakości sadzonek wierzby energetycznej w aspekcie sadzenia mechanicznego [The quality of energy willow seedlings in terms of mechanical planting]. Inżynieria Rolnicza [Agricultural Engineering]. 6 (66), 159–167.
Mynko, R. N. (2013). Problema svodoobrazovanyia v emkostiakh bunkernoho typa v uslovyiakh dlytelnoho khranenyia [The problem of vaulting in bunker-type tanks under conditions of longterm storage]. Yaroslavskyi pedahohycheskyi vestnyk [Yaroslavl Pedagogical Bulletin], 3(1), 61–65
Loveikin, V. S., Shymko, L. S., Yaroshenko, V. V. (2010). Ohliad doslidzhen vytoku sypkykh materialiv [Review of research on the leakage of bulk materials]. Konstruiuvannia, vyrobnytstvo ta ekspluatatsiia silskohospodarskykh mashyn [Design, manufacture and operation of agricultural
machinery], 40(1), 324–333.
Willowpedia. Retrieved from https://www.youtube.com/user/Willowpedia. Access: 24.12.2020.
Probstdorfer Saatzucht. Retrieved from https://www.probstdorfer.at. Access: 24.12.2020
Geniev, G. A. (1972). Dinamika plasticheskoy i syipuchey sred [Dynamics plastic and friable environments]. Moskow : Izdatelstvo literaturyi po stroitelstvu.
Goldenblat, I. I., Kopnov, V. A. (1968). Kriterii prochnosti i plastichnosti konstruktsionnyih materialov [Criteria of durability and plasticity of construction materials]. Moskow : Mashinostroenie.
Goryushinskiy, I. V. (2003). Emkosti dlya syipuchih gruzov v transportno-gruzovyih sistemah [Capacity for friable loads in the transport-freight systems]. Samara: SamGAPS.
Gyachev, L. V. (1968). Dvizhenie syipuchih materialov v trubah i bunkerah [Motion friable materials in pipes and bunkers]. Moskow : Mashinostroenie.
Gyachev, L. V. (1992). Osnovyi teorii bunkerov [Bases of theory of bunkers]. Novosibirsk: Izd-vo Novosibirskogo universiteta.
Dalskiy, A. M. (2001). Spravochnik tehnologa-mashinostroitelya [Reference book of machine technologist-builder]. Moskow : Mashinostroenie, 2001.
Dolgunin, V. N., Borschev, V. Ya. (2005). Byistryie gravitatsionnyie techeniya zernistyih materialov: tehnika izmereniya, zakonomernosti, tehnologicheskoe primenenie [Rapid gravitational flows of grainy materials : technique of measuring, conformity to law, technological application]. Moskow : Izdatelstvo Mashinostroenie-1.
Zenkov, R. L. (1966). Bunkernyie ustroystva [Bunker devices]. Moskow : Mashinostroenie.
Zenkov, R. L. (1964). Mehanika nasyipnyih gruzov. [Mechanics of bulk loads]. Moskow : Mashinostroenie.
Kleyn, G. K. (1977). Stroitelnaya mehanika syipuchih tel [Structural mechanics of friable bodies]. Moskow : Stroyizdat.
Sokolovskiy, V. V. (1990) Statika syipuchey sredyi [Statics of friable environment]. Moskow : Nauka.
Yermakov, S., Borys, M. (2015). Efficiency analysis of the energy willow planting devices. Materialy XI Mezinarodni vedecko-prakticka konference “Veda a vznik - 2015”. Praha : Publishing House Education and Science, 47-49.
Yermakov, S.V. (2017). Perspektyvy udoskonalennia konstruktsii dlia sadinnia zhyvtsiv enerhetychnykh kultur [Prospects for improving structures for planting cuttings of energy crops]. Podilskyi visnyk: silske hospodarstvo, tekhnika, ekonomika [Podilskyi Bulletin: agriculture, technology, economics]. 26, 37–45.
Yermakov, S., Boris, N. (2016). Sopostavlenie resheniy lesoposadochnyih mashin s trebovaniyami dlya energeticheskih drevesnyih kultur (iva, topol) [Comparison of planting machine solutions with the requirements for energy tree crops (willow, poplar).]. Nauchno-teoreticheskiy i prakticheskiy zhurnal "Sovremennyiy nauchnyiy vestnik"[Scientific-theoretical and practical journal "Modern Scientific Bulletin"]. 20-1 (267). Belgorod: Rusnauchkniga, 67 68.
Yermakov, S., Hutsol, T., Slobodian, S., Komarnitskyi, S., Tysh, M. (2018. Possibility of using automation tools for planting of the energy willow cuttings. Renewable Energy Sources: Engineering, Technology, Innovation. 419–429. Retrieved from https://doi.org/10.1007/978-3-030-13888- 2_42 .
Yermakov, S., Tulej, M., Tulej, W., Shevchuk, I. (2018). Analiz konstruktsii avtomativ sadinnia Tendentsii ta perspektyvy rozvytku nauky i osvity v umovakh hlobalizatsii, 34. 615–619.
Hutsol, T., Yermakov, S., Firman, Ju., Duganets, V., Bodnar, A. (2018). Analysis of technical solutions of planting machines, which can be used in planting energy willow Renewable Energy Sources: Engineering, Technology, Innovation, 99–111. Retrieved from https://doi.org/10.1007/978-3-030-13888- 2_10 .
Yermakov, S. Hutsol, T., Kovalyshyn, S. (2019). Zastosuvannia zakonomirnostei vytikannia sypkykh til dlia vyvantazhennia zhyvtsiv derevnykh kultur [Application of patterns of flow of loose bodies for unloading of cuttings of wood cultures]. Ahrarna nauka ta osvita v umovakh yevrointehratsii
[Agricultural science and education in the context of European integration]. 34–36.
Yermakov, S. V., Hutsol, T. D., Devin, V. V. (2019). Problemy bezperervnoho vyvantazhennia zhyvtsiv enerhetychnoi verby z bunkera [Problems of continuous unloading of cuttings of energy willow from the hopper]. Suchasnyi rukh nauky [The modern movement of science]. Dnipro, 1,
–533.
Yermakov, S., Hutsol, T., Ovcharuk, O., Kolosiuk, I. (2019). Mathematic simulation of cutting unloading from the bunker. Independent journal of management & production Special Edition PDATU, 10, 758–777; 2236-269X. Retrieved from https://doi.org/10.14807/IJMP.V10I7.909.
Yermakov, S., Hutsol, T., Mudryk, K., Dziedzic, K., Mykhailova, L. (2019). The analysis of stochastic processes in unloadingthe energywillow cuttings from the hopper. Vide. Tehnologija. Resursi - Environment, Technology, Resources. Rezekne. 2019. 249–252. Retrieved from
https://doi.org/10.17770/etr2019vol3.4159.
Yermakov, S. V., Hutsol, T. D. (2018). Features of the heterogeneous rood-like materials outflow (by example of energy willow cutting). Technological and methodological aspects of agri-food engineering in young scientist research. 55–68.
Dziedzic, K., Lapczynska-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, 1, 150–160.
Ivanyshyn, V., Yermakov, S., Ishchenko, T., Mudryk, K., Hutsol, T. (2020). Calculation algorithm for the dynamic coefficient of vibro-viscosity and other properties of energy willow cuttings movement in terms of their unloading from the tanker. E3S Web of Conferences, 154. 04005. Retrieved from https://10.1051/e3sconf/202015404005.
Yermakov, S. (2019). Application of the Laplace transform to calculate the velocity of a twophase fluid modulated by the movement of cuttings of an energy willow (Salix Viminalis). Теka. Quarterly journal of agri-food industry. 2. 71–78.
Lavrentev, M. A. (1958). Metodyi teorii funktsiy kompleksnogo peremennogo [Methods of the theory of functions of a complex variable]. Moskow : Izdatelstvo fIziko-matematicheskoy lit.
Bogolyubov, N. N. (1974). Asimptoticheskie metodyi v teorii nelineynyih kolebaniy [Asymptotic methods in the theory of nonlinear oscillations]. Moskow : Nauka.
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