Experimental estimation of unusable fuel of upper stages at the flight final phases


DOI: 10.34759/trd-2020-110-7

Аuthors

Sapozhnikov V. B.1*, Koroljkov A. V.1**, Konstantinov S. B.2***, Alexandrov L. G.2****

1. Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia
2. Lavochkin Research and Production Association, NPO Lavochkin, 24, Leningradskay str., Khimki, Moscow region, 141400, Russia

*e-mail: sapojnikov47@mail.ru
**e-mail: korolkov@mgul.ac.ru
***e-mail: konstantinov@laspace.ru
****e-mail: aia@laspace.ru

Abstract

The article deals with the physical modelling of the spacecraft upper stages’ tanks emptying from the fuel components in condition of acceleration of various values impact on the liquid. The Froude number was selected as modelling criterion. The research experiments are conducted on the transparent physical model of the tank, being filled with various quantity of the model liquid, which flows out from the model with various consumption values while the research container with the model drop in the “weightlessness shaft” (or “drop tower”).

The tests determine the Froude number impact on the unusable liquid remnants in the model, caused by the “dynamic drop” of the “liquid-gas” interface surface into the drain port of the tank while its depletion (“funnel forming”). Approximation formula of the dependence of the unused remnant volume on the Froude number while tank depletion was obtained. It was demonstrated by the results of the experiment that the obtained dependence describes rather accurately the process under study up the Froude number of Fr ≤ 104. Within the range of Froude numbers values of Fr > 104, surface tension forces start to affect the result, and besides the Froude number, the Bond number should be accounted for while physical modelling.

Keywords:

fuel tank, upper stage, operating acceleration, funnel-forming, physical modeling, criterion of modeling, liquid pour, “weightlessness tower”, “drop tower”, approximation, Froude number, Bond number

References

  1. Aleksandrov A.A., Khartov V.V., Novikov Yu.M., Krylov V.I., Yagodnikov D.A. Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta im. N.E. Baumana. Seriya: Mashinostroenie, 2015, no. 6(105), pp. 130 - 142.

  2. Sapozhnikov V.B., Men'shikov V.A., Partola I.S., Korol'kov A.V. Vestnik Moskovskogo gosudarstvennogo tekhnicheskogo universiteta imeni N.E. Baumana. Seriya: Mashinostroenie, 2006, no. 2(63), pp. 78 – 88.

  3. Sapozhnikov V.B., Korol'kov A.V. Physical and Mathematical Problems of Advanced Technology Development. Abstracts of International Scientific Conference, BMSTU, Moscow, 17 – 19 November 2014, pp. 80 - 81.

  4. Belyaev N.M. Raschet pnevmogidravlicheskikh sistem raket (Calculation of Pneumatic-hydraulic Rocket Systems), Moscow, Mashinostroenie, 1983, 219 p.

  5. Kudryavtsev V.M. Osnovy teorii i rascheta zhidkostnykh raketnykh dvigatelei (Fundamentals of theory and calculation of liquid rocket engines), Moscow, Vysshaya shkola, 1993, vol. 2, 368 p.

  6. Partola I.S. Pervaya mezhdunarodnaya nauchno-tekhnicheskaya konferentsiya “Aerokosmicheskie tekhnologii”, posvyashchennaya 90-letiyu so dnya rozhdeniya akademika V.N. Chelomeya, Moscow, NPO “Mashinostroenie”, 2004, pp. 19 - 22.

  7. Bol'shakov V.A., Novikov Yu.M., Partola I.S. XXXIV Nauchnye chteniya, posvyashchennye nauchnomu naslediyu i razvitiyu idei K.E. Tsiolkovskogo: sbornik dokladov. Kaluga, 1999, pp. 78 - 86.

  8. Novikov Yu.M., Bol'shakov V.A. Bezopasnost' zhiznedeyatel'nosti, 2005, no. 11, pp. 53 - 56.

  9. Bagrov V.V., Kurpatenkov A.V., Polyaev V.M. et al. Kapillyarnye sistemy otbora zhidkosti iz bakov kosmicheskikh letatel'nykh apparatov (Capillary System for Fluid Intake from the Spacecraft Tanks), Moscow, Energomash, 1997, 328 p.

  10. Sapozhnikov V.B. Krylov V.I., Novikov Yu.M., Yagodnikov D.A. Inzhenernyi zhurnal: nauka i innovatsii, 2013, no. 4, available at: http://engjournal.ru/catalog/machin/rocket/707.html

  11. Polikovskii V.I., Perel'man R.G. Voronkoobrazovanie v zhidkosti s otkrytoi poverkhnost'yu (Funnel-forming in liquid with open surface), Moscow, Gosenergoizdat, 1959, 191 p.

  12. Sizonov V.S. Izvestiya AN SSSR. Seriya: Mekhanika zhidkosti i gaza, 1971, no. 6, pp. 72 - 75.

  13. Arkhipov V.A., Vasenin I.M., Tkachenko A.S., Usanina A.S. Mekhanika zhidkosti i gaza, 2015, no. 1, pp. 86 - 94.

  14. Belyaev N.M., Shandorov G.S. Gidroaeromekhanika, 1965, no. 2, pp. 27 - 32.

  15. Tokarev V.E. Izvestiya Vuzov. Seriya: Aviatsionnaya tekhnika, 1967, no. 3, pp. 37 - 43.

  16. Glushkov A.V., Ulybyshev S.Yu. Trudy MAI, 2018, no. 101, available at: http://trudymai.ru/eng/published.php?ID=96960

  17. Aslanov V.S., Yudintsev V.V. Trudy MAI, 2017, no. 97, available at: http://trudymai.ru/eng/published.php?ID=87150

  18. Ryazanov V.V. Trudy MAI, 2019, no. 107, available at: http://trudymai.ru/eng/published.php?ID=107837

  19. Sapozhnikov V.B., Korol'kov A.V. Sovremennaya nauka: issledovaniya, idei, rezul'taty, tekhnologii, 2014, no. 1(14), pp. 60 - 65.

  20. Sapozhnikov V.B., Korol'kov A.V., Avraamov N.I. et al. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana, 2015, no. 11, pp. 603 - 617.


Download

mai.ru — informational site MAI

Copyright © 2000-2024 by MAI

 Вход