Skip to main content
Log in

Thrust shock vector control of an axisymmetric conical supersonic nozzle via secondary transverse gas injection

  • Original Article
  • Published:
Shock Waves Aims and scope Submit manuscript

Abstract

Transverse secondary gas injection into the supersonic flow of an axisymmetric convergent–divergent nozzle is investigated to describe the effects of the fluidic thrust vectoring within the framework of a small satellite launcher. Cold-flow dry-air experiments are performed in a supersonic wind tunnel using two identical supersonic conical nozzles with the different transverse injection port positions. The complex three-dimensional flow field generated by the supersonic cross-flows in these test nozzles was examined. Valuable experimental data were confronted and compared with the results obtained from the numerical simulations. Different nozzle models are numerically simulated under experimental conditions and then further investigated to determine which parameters significantly affect thrust vectoring. Effects which characterize the nozzle and thrust vectoring performances are established. The results indicate that with moderate secondary to primary mass flow rate ratios, ranging around 5 %, it is possible to achieve pertinent vector side forces. It is also revealed that injector positioning and geometry have a strong effect on the shock vector control system and nozzle performances.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23

Similar content being viewed by others

References

  1. Mangin, B., Chpoun, A., Jacquin, L.: Experimental and numerical study of the fluidic thrust vectoring of a two-dimensional supersonic nozzle. AIAA Paper 2006-3666 (2006)

  2. Wing, D.J., Giuliano, V.J.: Fluidic thrust vectoring of an axisymmetric exhaust nozzle at static conditions. ASME Fluids Engineering Division Summer Meeting, Paper FEDSM97-3228 (1997)

  3. Bec, R., Bernard-Lepine, C., de Groote, K., Amouroux, F.: PERSEUS. A Nanosatellite Launch System Project Focusing on Innovation and Education. 2nd European Conference for Aerospace Sciences(EUCASS), Brussels (2007)

  4. Wing, D.J.: Static investigation of two fluidic thrust-vectoring concepts on a two-dimensional convergent-divergent nozzle. NASA Technical Memorandum TM4574, Hampton Virginia (1994)

  5. Flamm, J.D., Deere, K.A., Mason, M.L., Berrier, B.L., Johnson, S.K.: Experimental study of an axisymmetric dual throat fluidic thrust vectoring nozzle for supersonic aircraft application. AIAA Paper 2007-5084 (2007)

  6. Flamm, J.D.: Experimental study of a nozzle using fluidic counterflow for thrust vectoring. AIAA Paper 98-3255 (1998)

  7. Deere, K.A.: Summary of fluidic thrust vectoring research conducted at NASA Langley research center. AIAA Paper 2003-3802 (2003)

  8. Deere, K.A., Berrier, B.L., Flamm, J.D.: Computational study of fluidic thrust vectoring using separation control in a nozzle. AIAA Paper 2003-3803 (2003)

  9. Viti, V., Neel, R., Schetz, J.A.: Detailed flow physics of the supersonic jet interaction flow field. Phys. Fluids J. 21(4), 046101-1–16 (2009)

    Google Scholar 

  10. Spaid, F.W., Zukoski, E.E.: Study of the interaction of gaseous jets from transverse slots with supersonic external flows. AIAA J. 6(2), 205–212 (1968)

    Article  Google Scholar 

  11. Guhse, R.D.: On secondary gas injections into supersonic nozzles. AIAA J. 3(1), 147–149 (1966)

    Google Scholar 

  12. Schetz, J.A., Billig, F.S.: Penetration of gaseous jets injected into a supersonic stream. J. Spacecr. Rockets 3(11), 1658–1665 (1966)

    Article  Google Scholar 

  13. Zukoski, E.E.: Turbulent boundary-layer separation in front of a forward-facing step. AIAA J. 5(10), 1746–1753 (1967)

    Article  Google Scholar 

  14. Chenault, C.F., Beran, P.S.: \(k-\epsilon \) and Reynolds stress turbulence model comparisions fow two-dimensional flows. AIAA J. 36(8), 1401–1412 (1998)

    Article  Google Scholar 

  15. Santiago, J.G., Dutton, J.: Crossflow vortices of a jet injected into a supersonic crossflow. AIAA J. 35(5), 915–917 (1997)

    Article  Google Scholar 

  16. Erinc, E., Kontis, K.: Numerical and experimental investigation of transverse injection flows. Shock Waves J. 20(2), 103–118 (2010)

    Article  Google Scholar 

  17. Nielson, J.H., Gilchrist, A., Lee, C.K.: Side thrust control by secondary gas injection into rocket nozzles. J. Mech. Eng. Sci. 10(3), 239–251 (1968)

    Article  Google Scholar 

  18. Billig, F.S.: Shock-wave shapes around spherical and cylindrical-nosed bodies. J. Spacecr. Rockets 4(6), 822–823 (1967)

    Article  Google Scholar 

  19. Schilling, T.W.: Flow separation in rocket nozzles. M.Sci. thesis, University of Buffalo, New York (1962)

  20. Green, L.: Flow separation in rocket nozzles. ARS J. 23(1), 34–35 (1953)

    Google Scholar 

  21. Maarouf N.: Model of dissymmetrical phenomena in the divergent of supersonic propulsive nozzles. PhD thesis (in French), Universite d’Evry Val d’Essone (2008)

  22. Sellam, M., Chpoun, A., Zmijanovic, V., Lago, V.: Fluidic thrust vectoring of an axisymmetrical nozzle: an analytical model. Int. J. Aerodyn. 2(2–4), 193–209 (2012)

    Article  Google Scholar 

  23. Durand, P., Vieille, B., Lambare, H., Vuillermoz P., Boure G., Steinfeld P., Godfroy, F., Guery, J.F.: CPS: A three-dimensional CFD numerical code dedicated to space propulsive flows. AIAA Paper A00-36973 (3864) (2000)

  24. Boccaletto, L., Cahuzac, F.: Solving the flow separation issue : a new nozzle noncept. AIAA Paper 2008-5234 (2008)

  25. Boccaletto, L., Lequette, L.: CFD computations for rocket engines start-up simulation. AIAA Paper 2005-4438 (2005)

  26. Nielson, J.H., Gilchrist, A., Lee, C.K.: Control forces in rocket nozzles produced by a secondary gas stream inclined at various angles to the nozzle axis. J. Mech. Eng. Sci. 11(2), 175–180 (1969)

    Google Scholar 

  27. Schlichting, H., Gersten, K.: Boundary Layer Theory. Springer, Berlin (2001)

    Google Scholar 

Download references

Acknowledgments

We would like to acknowledge support and assistance by Sandrine Palerm and Jean Oswald from the French space agency CNES, DLA department, as well as Luc Leger and Eric Depussay from CNRS-ICARE.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. Zmijanovic.

Additional information

Communicated by A. Hadjadj and K. Kontis.

The paper was based on work that was presented at the 28th International Symposium on Shock Waves, 17–22 July, 2011, Manchester, UK.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zmijanovic, V., Lago, V., Sellam, M. et al. Thrust shock vector control of an axisymmetric conical supersonic nozzle via secondary transverse gas injection. Shock Waves 24, 97–111 (2014). https://doi.org/10.1007/s00193-013-0479-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00193-013-0479-y

Keywords

Navigation