Mathematical modeling of dynamic processes in feeding system of space stage main engine of launch vehicle at active and passive flight

1Pylypenko, OV, 1Nikolayev, OD, 2Bashliy, ІD, 1Dolgopolov, SI
1Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Dnipro, Ukraine
2Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and the State Space Agency of Ukraine, Dnipropetrovsk, Ukraine
Space Sci. & Technol. 2020, 26 ;(1):03-17
https://doi.org/10.15407/knit2020.01.003
Publication Language: Russian
Abstract: 
An approach is developed for operability diagnostic of liquid propulsion feeding system of launch vehicle space stages in microgravity conditions in active and passive flight, including multiple start-ups of main engines with minimal levels of tank filling. The approach is based on the method of finite elements, liquid volume method (VOF), technologies of 3D-computer analysis (CAE-systems), and impedance method. As a part of the proposed approach based on mathematical modeling of dynamic processes in the stage propulsion feeding system in microgravity conditions, the slosh motion parameters of the «gas — liquid» interface in propellant tanks are determined together with the free gas bubbles’ parameters. At the same time, the effectiveness of the propellant management device is evaluated during stage propulsion system operation. Along the way, the parameters of transient processes in the propulsion feeding system of main engines are calculated during its multiple start-ups and shutdowns, and amplitudes and frequencies of propulsion feeding system are determined.
              The computed fluid motion parameters and the liquid propellant-free surface shapes showed a good agreement with data obtained in test studies of the motion of the experimental model of the «Centaur» upper stage propellant tank in a «drop tower». The transient process parameters of the space stage feed system showed satisfactory agreement with experimental data obtained in water testing.
             The developed approach will reduce the amount of testing of developed and upgraded launch vehicle space stages.
Keywords: feeding system, main engine, microgravity, multiple engine start-ups, propellant management device (PMD)
References: 
1. Belyaev E. N., Chervakov V. V. (2009). Mathematical modeling LRE. Moscow: MAI-PRINT [in Russian].
2. Bloha I. D., Zavoloka A. N., Nikolayev A. D., Sviridenko N. F. (2005). Influence of the launch vehicle upper stage longitudinal vibrations on the operability of continuity fuel components providing in-tank devices in the main engine feeding system. Technical Mechanics, No. 2, 65—74 [in Russian].
3. Galiev Sh. U., Borisevich V. K., Potanenko A. N., Plisko-Vinogradskiy A. F. (1984). Methodology for calculating the liquid sultan load on the tank bottom. Strength problems, No. 5, 47—52 [in Russian].
4. Davyidov S. A. (2004). Calculation of the permeability coefficient of a immersed liquid stream through a woven metal mesh. System design and analysis of the characteristics of aerospace technology: Compilation sciences works, No. V, 13—21 [in Russian].
5. Video in the LV Falcon II stage oxidizer tank after main engine shutdown. URL: https://www.youtube.com/watch?v=PPnCKK1isMI (Last accessed 10.10.2019).
6. Dolgopolov S. I. (2006). Mathematical modeling of fluid dynamics in extended feedlines using hydrodynamic elements.Technical Mechanics, No. 2, 114—120. [in Russian].
7. Dolgopolov S. I., Zavoloka A. N., Nikolayev A. D., Sviridenko N. F., Smolenskiy D. E. (2015). Calculating of the hydrodynamic processes parameters in the space stage feeding system during main engine shutdown and startup. Technical Mechanics, No. 2, 79—92. [in Russian].
8. Kozlov A. A., Novikov V. N., Solovev E. V. (1988). Feeding and control systems for liquid rocket propulsion systems. Moscow: Engineering [in Russian].
9. Lebedinskiy E. V., Kalmyikov G. P., Mosolov S. V., Koroteev A. S. (2008). Working processes in a liquid rocket engine and their modeling. Moscow: Engineering [in Russian].
10. Mikishev G. N., Rabinovich B. I. (1971). Dynamics of thin-walled structures with compartments containing liquid. Moscow: Engineering [in Russian].
11. Mikishev G. N., Churilov G. A. (1986). Surface tension and wetting angle effect on fluid oscillations in vessels. Spacecraft dynamics and space exploration. Moscow: Engineering [in Russian].
12. Nikolayev A. D., Bashliy I. D. (2013). Calculating of fuel oscillation parameters in launch vehicles space stages tanks before main engine multiple startup at low filling levels. Technical Mechanics, No. 3, 10—20 [in Russian].
13. Perfilev L. A., Podobedov G. G., Sokolov B. A. (2003). The study of hydromechanics in zero gravity on board the Mir orbital station. News RAN: Energy, No. 4, 44—50 [in Russian].
14. Pilipenko V. V., Zadontsev V. A., Natanzon M. S. (1977). Cavitation vibrations and hydraulic systems dynamics. Moscow: Engineering [in Russian].
15. Pilipenko O. V., Degtyarev A. V., Bashliy I. D., Zavoloka A. N., Kashanov A. E., Nikolayev A. D., Sviridenko N. F. (2014). Calculation of the gas-liquid structures parameters forming in the fuel components at space stage main engine startup with low tank filling levels. Technical Mechanics, No. 4, 3—13 [in Russian].
16. Pilipenko O. V., Zavoloka A. N., Nikolaev A. D., Sviridenko N. F., et al. (2006). The internal tank devices operability for providing the fuel components continuity in the feeding system of launch vehicles space stages main propulsion system. Aerogasdynamics: problems and prospects: collection scientific papers, No. 2, 88—100 [in Russian].
17. Serdyuk V. (2009). Launch vehicles spacecraft design. Moscow: Engineering [in Russian].
18. A passive Propellant. Management Device (PMD). PMD Technology. URL: http://www.pmdtechnology.com/PMD Types. html (Last accessed 10.10.2019).
19. Sichevoy A. V., Davyidov S. A., Gorelova K. V. (2010). The dynamic loading coefficient of mesh devices providing fuel continuity. System design and characteristics analysis of the aerospace technology: collection scientific papers, No. Х, 106—113
[in Russian].
20. Charnyiy I. A. (1975). Unsteady flow of real fluid in pipes. Moscow: Nedra [in Russian].
21. Shevyakov A. A., Kalnin V. M., Naumenkova N. V., Dyatlov V. G. (1978). The theory of rocket engines automatic control. Moscow: Engineering [in Russian].
22. Behruzi Ph., Michaelis M., Khimeche G. (2006). Behavior of the Cryogenic Propellant Tanks during the First Flight of the Ariane 5 ESC-A Upper Stage. 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit, Sacramento, California, AIAA 2006-5052. 9—12 July 2006, 10 p.
23. Di Matteo Fr., De Rosa M., Onofri M. (2011). Start-Up Transient Simulation of a Liquid Rocket Engine. AIAA 2011-6032 47th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit (31 July — 03 August 2011), San Diego, California (15 p.). URL: www.enu.kz/repository/2011/AIAA-2011-6032.pdf (Last accessed 10.10.2019).
24. Ducret E., Le Moullec L., Spencer B., Balaam P. (1992). Propellant management device studies, computational methods and neutral buoyancy tests. AIAA 28th Joint Propulsion Conference and Exhibit. P. 92—3611.
25. Hirt C. W., Nichols B. D. (1981). Volume of fluid (VOF) method for the dynamics of free boundaries. J. Computational Physics, No. 39 (1), 201—225.
26. Investigation of Propellant Sloshing and Zero Gravity Equilibrium for the Orion Service Module Propellant Tanks (2009). Microgravity University. Systems Engineering Educational Discovery. Kenosha, 22 p.
27. Kohnke P. (2001). Ansys, Inc. Theory Manual 001369, Twelfth Edition. Canonsburg: SAS IP, Inc., 1266 p
28. Salzman J. A., Masica W. J., Lacovic R. F. (1973). Low-gravity reorientation in a scale-model Centaur liquid-hydrogen tank (NASA TN D-7168, 1973). URL: https://ntrs.nasa.gov/search.jsp?R=19730007525 (Last accessed 10.10.2019).
29. The Bremen Drop Tower. URL: https://www.zarm.uni-bremen.de/en/drop-tower/team.html (Last accessed 10.10.2019).
30. Zhang-Guo LI, Qiu-Sheng LIU, Rong LIU, Wei HU, Xin-Yu DENG. (2009). Influence of Rayleigh–Taylor Instability on Liquid Propellant Reorientation in a Low-Gravity Environment. Chinese Physical Society and IOP Publishing Ltd, 26, No. 11, 114701-1—114701-4.