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Two-dimensional fuel regression simulations with level set method for hybrid rocket internal ballistics

  • Funami, Yuki (Faculty of Engineering, Kanagawa University)
  • 투고 : 2018.05.24
  • 심사 : 2019.04.05
  • 발행 : 2019.07.25

초록

Low fuel regression rate is the main drawback of hybrid rocket which should be overcome. One of the improvement techniques to this problem is usage of a solid fuel grain with a complicated geometry port, which has been promoted owing to the recent development of additive manufacturing technologies. In the design of a hybrid rocket fuel grain with a complicated geometry port, the understanding of fuel regression behavior is very important. Numerical investigations of fuel regression behavior requires a capturing method of solid fuel surface, i.e. gas-solid interface. In this study, level set method is employed as such a method and the preliminary numerical tool for capturing a hybrid rocket solid fuel surface is developed. At first, to test the adequacy of the numerical modeling, the simulation results for circular port are compared to the experimental results in open literature. The regression rates and oxidizer to fuel ratios show good agreements between the simulations and the experiments, after passing enough time. However, during the early period of combustion, there are the discrepancies between the simulations and the experiments, owing to transient phenomena. Second, the simulations of complicated geometry ports are demonstrated. In this preliminary step, a star shape is employed as complicated geometry of port. The slot number effect in star port is investigated. The regression rate decreases with increasing the slot number, except for the star port with many slots (8 slots) in the latter half of combustion. The oxidizer to fuel ratio increases with increasing the slot number.

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참고문헌

  1. Albarado, K., Shelton, A. and Hartfield, R.J. (2012), "SRM simulation using the level set method and higher order integration schemes", Proceedings of the 48th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Atlanta, Georgia, U.S.A., July.
  2. Armold, D., Boyer, J.E., Kuo, K.K., DeSain, J.D., Curtiss, T.J. and Fuller, J.K. (2013), "Test of hybrid rocket fuel grains with swirl patterns fabricated using rapid prototyping technology", Proceedings of the 49th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, San Jose, California, U.S.A., July.
  3. Chang, Y.C., Hou, T.Y., Merriman, B. and Osher, S. (1996), "A level set formulation of Eulerian interface capturing methods for incompressible fluid flows", J. Comput. Phys., 124(2), 449-464. https://doi.org/10.1006/jcph.1996.0072.
  4. Fuller, J., Ehrlich, D., Lu, P., Jansen, R. and Hoffman, J. (2011), "Advantages of rapid prototyping for hybrid rocket motor fuel grain fabrication", Proceedings of the 47th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, San Diego, California, U.S.A., July.
  5. Harten, A. (1989), "ENO schemes with subcell resolution", J. Comput. Phys., 83(1), 148-184. https://doi.org/10.1016/0021-9991(89)90226-X.
  6. Karabeyoglu, A. (2017), Performance Additives for Hybrid Rockets, in Rocket Propulsion, A Comprehensive Survey of Energetic Materials, Springer, Switzerland.
  7. Karabeyoglu, M.A., Cantwell, B.J. and Altman, D. (2001), "Development and testing of paraffin-based hybrid rocket fuels", Proceedings of the 37th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Salt Lake City, Utah, U.S.A., July.
  8. Nakasuka, S. (2009), "Students' challenges towards new frontier -enlarging activities of UNISEC and Japan universities", Trans. JSASS Space Tech. Japan, 7(ists26), To_1_1-To_1_6. https://doi.org/10.2322/tstj.7.11
  9. Osher, S. and Fedkiw, R. (2003), Level Set Methods and Dynamic Implicit Surfaces, Springer, New York, U.S.A.
  10. Qin, F., Guoqiang, H., Peijin, L. and Jiang, L. (2006), "Algorithm study on burning surface calculation of solid rocket motor with complicated grain based on level set methods", Proceedings of the 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Sacramento, California, U.S.A., July.
  11. Ribeiro, M.V.F. and Greco Jr., P.C. (2011), "Hybrid rocket motors propellants: A historical approach", Proceedings of the 21st International Congress of Mechanical Engineering, Natal, Brazil, October.
  12. Shanks, R.B. and Hudson, M.K. (1994), "The design and control of a labscale hybrid rocket facility for spectroscopy studies", Proceedings of the 30th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Indianapolis, Indiana, U.S.A., June.
  13. Shu, C.W. and Osher, S. (1989), "Efficient implementation of essentially non-oscillatory shock-capturing schemes, II", J. Comput. Phys., 83, 32-78. https://doi.org/10.1016/0021-9991(89)90222-2
  14. Sullwald, W., Smit, F., Steenkamp, A. and Rousseau, W. (2013), "Solid rocket motor grain burn back analysis using level set methods and Monte-Carlo volume integration", Proceedings of the 49th AIAA/ASME/SAE/ASEE Joint Propulsion Conference, San Jose, U.S.A., July.
  15. Sussman, M., Almgren, A.S., Bell, J.B., Colella, P., Howell, L.H. and Welcome, M.L. (1999), "An adaptive level set approach for incompressible two-phase flows", J. Comput. Phys., 148(1), 81-124. https://doi.org/10.1006/jcph.1998.6106.
  16. Tateyama, T. and Takano, A. (2017), "Development of CFRP reinforced lightweight hybrid rocket engine", Proceedings of the 48th JSASS Annual Meeting, Tokyo, Japan, April (in Japanese).
  17. Tsubogo, K., Asai, K. and Hadano, K. (2003), "Study on numerical calculation for rupture of bubble at water surface by level set method", J. Appl. Mech. JSCE, 6, 201-208 (in Japanese). https://doi.org/10.2208/journalam.6.201.
  18. Whitmore, S.A. and Walker, S.D. (2017), "Engineering model for hybrid fuel regression rate amplification using helical ports", J. Propul. Power, 33(2), 398-407. https://doi.org/10.2514/1.B36208.
  19. Whitmore, S.A., Walker, S.D., Merkley, D.P. and Sobbi, M. (2015), "High regression rate hybrid rocket fuel grains with helical port structures", J. Propul. Power, 31(6), 1727-1738. https://doi.org/10.2514/6.2014-3751.
  20. Yuasa, S., Shimada, O., Imamura, T., Tamura, T. and Yamamoto, K. (1999), "A technique for improving the performance of hybrid rocket engines", Proceedings of the 35th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Los Angeles, California, U.S.A., June.
  21. Zhang, S., Hu, F. and Zhang, W. (2016), "Numerical investigation on the regression rate of hybrid rocket motor with star swirl fuel grain", Acta Astronautica, 127, 384-393. https://doi.org/10.1016/j.actaastro.2016.06.017.