Dynamic model of the duration of gaseous environment pumping from a limited volume

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dc.citation.epage19
dc.citation.issue4
dc.citation.journalTitleУкраїнський журнал із машинобудування і матеріалознавства
dc.citation.spage12
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorDmytriv, Taras
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2025-03-06T10:02:32Z
dc.date.created2023-02-28
dc.date.issued2023-02-28
dc.description.abstractAn analytical equation for the duration of air pumping from a limited volume has been developed. The equation of the mechanical energy of air movement takes into account the law of mass conservation for a gas in a controlled volume, the work of the energy of air movement and the work to overcome air friction. Gaseous medium is Newtonian. The duration of pumping (filling) the limited volume of the pneumatic chamber with air was calculated by comparing the mass flow per second and the increase in mass, as a differential of the change in air density. The mathematical model enables the simulation of air pumping time depending on pressure, as a density parameter and at different Mach numbers in the subsonic range. The 𝑲𝑲𝟏𝟏∗ proportionality coefficient, which characterizes the ratio of the dynamic force of gas mass displacement to the static pressure relative to the diameter of the air pipeline, is proposed as a criterion for evaluating the dynamics of the flow. It should be noted that the analytical dependence works for Newtonian media and Mach numbers of M < 1, the gas flow is caused by the pressure difference, the gas itself is limited by a chamber space characterized by a volume as design parameter of structure.
dc.format.extent12-19
dc.format.pages8
dc.identifier.citationDmytriv T. Dynamic model of the duration of gaseous environment pumping from a limited volume / Taras Dmytriv // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 9. — No 4. — P. 12–19.
dc.identifier.citationenDmytriv T. Dynamic model of the duration of gaseous environment pumping from a limited volume / Taras Dmytriv // Ukrainian Journal of Mechanical Engineering and Materials Science. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 9. — No 4. — P. 12–19.
dc.identifier.doidoi.org/10.23939/ujmems2023.04.012
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/63997
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofУкраїнський журнал із машинобудування і матеріалознавства, 4 (9), 2023
dc.relation.ispartofUkrainian Journal of Mechanical Engineering and Materials Science, 4 (9), 2023
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dc.relation.references[21] V. T. Dmytriv, I. V. and P. P. Yatsunskyi, “Experimental pulse generator combined with the milking machine collector”, INMATEH – Agricultural Engineering, Vol. 59(3), pp. 219–226, 2019. https://www.scopus.com/authid/detail.uri?authorId=57195630274
dc.relation.references[22] V. T. Dmytriv, O. S. Lanets, I. V. Dmytriv and I. I. Horodetskyy, “Modelling of work of the rotor-type blade pump with revolving stator”, International Journal of Applied Mechanics and Engineering, Vol. 26(4), pp. 17–28, 2021.
dc.relation.references[23] V. Dmytriv, I. Dmytriv, I. Horodetskyy and T. Dmytriv, “Analytical dynamic model of coefficient of friction of air pipeline under pressure”, Diagnostyka, Vol. 20(4), pp. 89–94, 2019.
dc.relation.referencesen[1] J. Li, C. F. Li, Y. X. Zhang and H. G. Yue, "Compressed Air Energy Storage System Exergy Analysis and its Combined Operation with Nuclear Power Plants", Applied Mechanics and Materials, Vol. 448, pp. 2786–2789, 2014.
dc.relation.referencesen[2] M. Cai, Y. Wang, Y. Shi and H. Liang, "Output dynamic control of a late model sustainable energy automobile system with nonlinearity", Advances in Mechanical Engineering, Vol. 8(11), 2016. https://doi.org/10.1177/1687814016672784
dc.relation.referencesen[3] Y. Shi, Y. Wang, H. Liang and M. Cai, "Power characteristics of a new kind of air- powered vehicle", International Journal of Energy Research, Vol. 40(8), pp. 1112–1121, 2016.
dc.relation.referencesen[4] Y. T. Shen and Y. R. Hwang, "Design and implementation of an air-powered motorcycles", Applied Energy, Vol. 86(7), pp. 1105–1110, 2009.
dc.relation.referencesen[5] O. Takeuchi, T. Fujita and T. Kagawa, "Characteristics Analysis of Expanding-type Booster", Proceedings of the Autumn Symposium on Hydraulics and Pneumatics, Tokyo (Japan), pp. 69–72, 1995.
dc.relation.referencesen[6] D. Shaw, J. J. Yu and C. Chieh, "Design of a Hydraulic Motor System Driven by", Compressed Air. Energies, Vol. 6(7), pp. 3149–3166, 2013.
dc.relation.referencesen[7] W. Ni, J. Zhang, L. Shi, T. Wang, X. Zhang and S. Chen, "Mathematical Model of Small-Volume Air Vessel Based on Real Gas Equation", Water, Vol. 12, p. 530, 2020. https://doi.org/10.3390/w12020530
dc.relation.referencesen[8] J. B. Jones and R. E. Dugan, Engineering Thermodynamics; Prentice Hall Inc., New Jersey, USA, 1996.
dc.relation.referencesen[9] Y. G. Shin, "Estimation of instantaneous exhaust gas flow rate based on the assumption of a polytropic process", J. Automob. Eng., Vol. 25, pp. 637–643, 2001.
dc.relation.referencesen[10] H. Najm, P. H. Azoury and M. Piasecki, "Hydraulic ram analysis: A new look at an old problem", J. Power Energy, Vol. 213, pp. 127–141, 1999.
dc.relation.referencesen[11] V. Filipan, Z. Virag and A. Bergant, "Mathematical modelling of a hydraulic ram pump system", J. Mech. Eng., Vol. 49, pp. 137–149, 2003.
dc.relation.referencesen[12] L. Zhou, D. Liu and B. Karney, "Investigation of hydraulic transients of two entrapped air pockets in a water pipeline", J. Hydraul. Eng., Vol. 139, pp. 949–959, 2013.
dc.relation.referencesen[13] L. Zhou, D. Liu, B. Karney and P. Wang, "Phenomenon of white mist in water rapidly filling pipeline with entrapped air pocket", J. Hydraul. Eng., Vol. 139, pp. 1041–1051, 2013.
dc.relation.referencesen[14] J. Tuhovák, J. Hejík, M. Jícha and L. Šnajdárek, "Experimental validation of mathematical model for small air compressor", EPJ Web of Conferences, Vol. 143, p. 02133, 2017.
dc.relation.referencesen[15] H. Liang, G. Zhi-jian, G. Tian-yi, R. Xiao-dong and F. Xin, "Modeling of pneumatic dual reciprocating bellows pump with flexible linkage", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 235(6), pp. 1085–1096, 2021. DOI:10.1177/0954406220936725
dc.relation.referencesen[16] W. Huang, J. Xiao and Z. Xu, "A variable structure pneumatic soft robot", Sci. Rep., Vol. 10, p. 18778, 2020. DOI: 10.1038/s41598-020-75346-5
dc.relation.referencesen[17] A. Djurkov, J. Cloutier and M.P. Mintchev, "Mathematical model and simulation of a pneumatic apparatus for in-drilling alignment of an inertial navigation unit during horizontal well drilling", International Journal "Information Technologies and Knowledge", Vol. 2, pp. 147–156, 2008.
dc.relation.referencesen[18] P. Cępa and E. Lisowski, "Application of pneumatic suction cup as a positioning element for thin metal sheets in technological processes", Technical Transactions. Mechanics, Vol. 1-M(5), 2013. DOI: 10.4467/2353737XCT.14.001.1927
dc.relation.referencesen[19] Z. Wu, R. V. N. Melnik and F. Borup, "Model-based analysis and simulation of airflow control systems of ventilation units in building environments", Building and Environment, Vol. 42, pp. 203–217, 2007. DOI: 10.1016/j.buildenv.2005.08.031
dc.relation.referencesen[20] E. Rakova and J. Weber, "Process simulation of energy behaviour of pneumatic drives", Procedia Engineering, Vol. 106, pp. 149–157, 2015.
dc.relation.referencesen[21] V. T. Dmytriv, I. V. and P. P. Yatsunskyi, "Experimental pulse generator combined with the milking machine collector", INMATEH – Agricultural Engineering, Vol. 59(3), pp. 219–226, 2019. https://www.scopus.com/authid/detail.uri?authorId=57195630274
dc.relation.referencesen[22] V. T. Dmytriv, O. S. Lanets, I. V. Dmytriv and I. I. Horodetskyy, "Modelling of work of the rotor-type blade pump with revolving stator", International Journal of Applied Mechanics and Engineering, Vol. 26(4), pp. 17–28, 2021.
dc.relation.referencesen[23] V. Dmytriv, I. Dmytriv, I. Horodetskyy and T. Dmytriv, "Analytical dynamic model of coefficient of friction of air pipeline under pressure", Diagnostyka, Vol. 20(4), pp. 89–94, 2019.
dc.relation.urihttps://doi.org/10.1177/1687814016672784
dc.relation.urihttps://doi.org/10.3390/w12020530
dc.relation.urihttps://www.scopus.com/authid/detail.uri?authorId=57195630274
dc.rights.holder© Національний університет “Львівська політехніка”, 2023
dc.rights.holder© Dmytriv T., 2023
dc.subjectair pumping
dc.subjectmathematical model
dc.subjectair friction
dc.subjectdynamics of the air flow
dc.subjectpneumatic chamber
dc.titleDynamic model of the duration of gaseous environment pumping from a limited volume
dc.typeArticle

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Ukrainian Journal of Mechanical Engineering and Materials Science. – 2023. – Vol. 9, No. 4