Modeling of Gas-Dynamic Processes in Pipelines at Waste Disposal


  • S. Medvediev ANTONOV State Enterprise, Kyiv, Ukraine
  • Valery Badah National Aviation University, Kyiv, Ukraine



vacuum, aircraft, waste disposal system, pipeline, waste, mathematical model.


Abstract. A modern passenger aircraft cannot be considered without requirements for ensuring the safety and comfort of passengers on board. One of the systems provides the necessary comfortable conditions on the plane, there is a waste disposal system that is designed to meet the physiological needs of the human body. Today, a promising type of waste disposal system is the vacuum principle system. The development of such systems, consisting of devices based on heterogeneous physical principles of functioning, is a complex scientific and technical problem associated with conducting diverse applied research in the design, development and targeted use of the system. One of the main elements of the system is the pipelines connecting the waste collection tank to the waste storage tank. Important in the design of pipelines is the determination of their overall and gas-dynamic characteristics in the early stages of development. The aim of the work presented in the article is to study the process of waste disposal in the pipeline and build a mathematical model that describes gas-dynamic processes.


  1. Raymer, D.P. (2018), Konstruktsiya litalʹnykh aparativ: kontseptualʹnyy pidkhid [Aircraft Design: A Conceptual Approach], 6th ed. AIAA education series, Institute of Aeronautics and Astronautics, Washington D.C.
  2. Jenkinson, L. R., Simpkin, P. and Rhodes, D. (1999), Tsyvilʹnyy reaktyvnyy litak [Civil Jet Aircraft Design], Arnold, London.
  3. Balabuev, P.V., Byichkov, S.A., Grebenikov, A.G. i dr. (2003), Osnovyi obschego proektirovaniya samoletov s gazoturbinnyimi dvigatelyami [Fundamentals of general aircraft design with turbine engines], Nats. aerokosm. un-t im. N.E. Zhukovskogo «XAI», Kharkiv, Ukraine.
  4. Hoffman, D., Singh, B. and Tomas, J. (2011), Handbook of Vacuum Science and Technology [Spravochnik po vakuumnoy tehnike i tehnologiyam], 3 rd ed. Translated by Romanenko, V.A., in Nesterova, S.B. (ed.), Tehnosfera, Moscow, Russia.
  5. Hablanyan, M.H., Saksaganskiy, G.L. and Burmistrov, A.V. (2013), Vacuum technology. Equipment, design, technology, operation. Part 1. Engineering and physical foundations: a training manual [Vakuumnaya tehnika. Oborudovanie, proektirovanie, tehnologii, ekspluatatsiya. Ch.1. Inzhenerno–fizicheskie osnovyi: uchebnoe posobie], KNITU, Kazan, Russia.
  6. Chekurin, V., Ponomaryov, Yu. and Khymko, O. (2015), “A mathematical model for evaluation the efficiency of gas-main pipelines in transient operational modes econtechmod”, An international quarterly journal, vol. 4, no. 3, pp. 25 – 32.
  7. Shams, M., Raeini, A.Q., Blunt, M.J. and Bijeljic B. (2018), “A numerical model of two-phase flow at the micro-scale using the volume-of-fluid method”, Journal of Computational Physics, vol. 357, pp. 159 – 182.
  8. Ganapathy, H., Shooshtari, A., Dessiatoun, S., Ohadi, M. and Alshehhi, M. (2015), “Hydrodynamics and mass transfer performance of a microreactor for enhanced gas separation processes”, Chemical Engineering Journal, vol. 266, pp. 258 – 270.
  9. Meziou, A., Chaari, M., Franchek, M., Borji, R., Grigoriadis, K. and Tafreshi, R. (2016), “Low-Dimensional Modeling of Transient Two-Phase Flow in Pipelines”, J. Dyn. Sys., Meas., Control, vol. 138, no. 10, pp. 70 – 86.
  10. Pyanylo, Ya.D., Prytula, M.G., Prytula, N.M. and Lopuh, N.B. (2014), “Models of mass transfer in gas transmission systems”, Mathematical Modeling and Сomputing, vol. 1, no. 1, pp. 84 – 96.
  11. Sumskoi, S.I., Sofin, A.S. and Lisanov, M.V. (2016), “Developing the model of non-stationary processes of motion and discharge of single – and two-phase medium at emergency releases from pipelines”, Journal of Physics: Conference Series, vol. 751, no.1, pp. 1 – 8.
  12. Capecelatro, J. and Desjardins, O. (2016), “Eulerian – Lagrangian modeling of turbulent liquid – solid slurries in horizontal pipes”, International journal of multiphase flow, no. 55, pp. 64 – 79.
  13. Abramovich, G.N. (1991), Prikladnaya gazovaya dinamika [Applied gas dynamics], in 2 hours. vol. 1: Textbook manual: For technical colleges, – 3rd ed., Revised and ad., Nauka. Gl. red. fiz-mat. Lit. vol.2, no.1, Moscow, Russia.
  14. Idelchik, I. E. (1997), Spravochnik po gidravlicheskim soprotivleniyam [Hydraulic Resistance Reference], 3rd ed. in Shteynberga, M.O.(ed.) Mashinostroenie, Moscow, Russia.
  15. Bertman, A.F., Abramovich, I.G (1966), A short course in mathematical analysis for technical colleges [Kratkiy kurs matematicheskogo analiza dlya vtuzov], Moscow, Russia.



How to Cite

S. Medvediev and V. Badah, “Modeling of Gas-Dynamic Processes in Pipelines at Waste Disposal”, Mech. Adv. Technol., no. 3(87), pp. 83–90, Dec. 2019.



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