Skip to main content
Log in

Comparison of the efficiencies of spike and combined annular nozzles

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The comparative efficiency of two layouts of self-adjusted annular nozzles operating over a wide flight altitude range is studied. One of the layouts is presented by the so-called spike nozzles (plane or antisymmetric, with a central body) having the property of self-adjustment when operating in different regions of the flight trajectory. The possibility of locating an annular plug nozzle or a conventional round nozzle in the base region of an axisymmetric spike is considered as a possible means for reducing its base losses. Two layouts of annular self-adjusted nozzles (in combination with internal nozzles or without them) are optimized for the mean thrust in operation in the launch and altitude flight regimes using the “classical” and “genetic” approaches. It is shown that optimal annular spike nozzles in combination with internal nozzles do not provide considerable advantages in the thrust compared with purely spiked optimal configurations. At the same time, an effective optimization of spike nozzles with account for the contribution made by the base thrust can ensure a comparatively low level of the losses.

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.

Similar content being viewed by others

References

  1. G. Hagemann, H. Immich, T.V. Ngyuen, and G.E. Dumnov, “Advanced Rocket Nozzles,” J. Propulsion Power 14, 620 (1998).

    Article  Google Scholar 

  2. G.V.R. Rao, “The E-D Nozzle,” Astronautics, No. 5, 50 (1960).

    Google Scholar 

  3. G.V.R. Rao, “Recent Developments in Rocket Nozzle Configurations,” ARS J. No. 11, 1488 (1961).

    Article  Google Scholar 

  4. G. Dumnov, V. Klimov, and N. Ponomarev, “Investigation of Linear Plug Layouts of Rocket Engines for Reusable Launch Vehicles,” AIAA Paper No. 3288 (2000).

    Book  Google Scholar 

  5. B.I. Katorgin, V.K. Chvanov, I.A. Klepikov, L.E. Sternin, and A.S. Kiselev, “Thrust Characteristics of Liquid Rocket Engines with Spike Nozzles,” Tr. Energomash No. 19, 18 (2001).

    Google Scholar 

  6. V.K. Chvanov, P.S. Levochkin, V.K. Starkov, L.E. Sternin, A.E. Denisov, V.E. Shirshov, and V.Yu. Yur’ev, “Using Spike Nozzles in the Configurations of Multi-Chamber Engines of Launcher Rockets,” Tr. Energomash No. 31, 69 (2014).

    Google Scholar 

  7. L.E. Sternin, V.E. Shirshov, and A.E. Denisov, “Technique of Designing the Aerodynamic Nozzle of a Multi-Chamber Engine and a Complex Nozzle Unit to Realize the Technique,” Russian Federation Patent No. 2511800, October 19, 2012.

    Google Scholar 

  8. V.K. Chvanov, L.E. Sternin, V.E. Shirshov, A.E. Denisov, and V.Yu. Yur’ev, “Configuration of a Multi-Stage Launcher,” Russian Federation Patent No. 2532445, March 13, 2013.

    Google Scholar 

  9. A.N. Kraiko, Variational Problems of Gasdynamics [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  10. A.N. Kraiko, A.S. Telyakovskii, and N.I. Tillyayeva, “Profiling the Optimal Contour of a Supersonic Nozzle in a Highly Rotational Flow,” Zh. Vychisl. Mat. Mat. Fiz. 34, 1444 (1994).

    Google Scholar 

  11. A.N. Kraiko and N.I. Tillyayeva, “Optimal Profiling of the Supersonic Part of a Plug Nozzle Contour,” Fluid Dynamics 35 (6), 945 (2000).

    Article  Google Scholar 

  12. A.N. Kraiko, K.S. P’yankov, and N.I. Tillyayeva, “Profiling the Supersonic Part of a Plug Nozzle with a Nonuniform Transonic Flow,” Fluid Dynamics 37 (4), 637 (2002).

    Article  Google Scholar 

  13. A.N. Kraiko and N.I. Tillyayeva, “Contouring Spike Nozzles and Determining the Optimal Direction of Their Primary Flows,” Fluid Dynamics 42 (2), 321 (2007).

    Article  ADS  MATH  Google Scholar 

  14. S.V. Baftalofskii, A.N. Kraiko, and N.I. Tillyaeva, “Contouring Self-Adjusted Spiked Nozzles, Optimal in Operation in a Vacuum and Determining their Thrust during the Launch from the Earth,” in: Selected Studies of the XXII Scientific Readings on Cosmonautics [in Russian], Voina i Mir, Moscow (1999), p. 116.

    Google Scholar 

  15. A.N. Kraiko, N.I. Tillyayeva, and S.V. Baftalofskii, “Optimal Design of Plug Nozzles and Their Thrust Determination at Start,” J. Propulsion Power 17, 1347 (2001).

    Article  Google Scholar 

  16. E.V. Myshenkov, E.V. Myshenkova, and N.I. Tillyayeva, “Numerical Investigation of the Flows in Cumulative Short-Plug Nozzles within the Framework of the Reynolds Equations,” Fluid Dynamics 38 (3), 482 (2003).

    Article  MATH  Google Scholar 

  17. K.S. P’yankov and N.I. Tillyayeva, “Multicriterial, Multidisciplinary Optimization of an IGV Blade on the Basis of a Genetic Algorithm,” Teplofiz. Vys. Temp. No. 3, 58 (2010).

    Google Scholar 

  18. A.A. Kraiko, K.S. P’yankov, N.I. Tillyayeva, and M.N. Toporkov, “Optimization of a Birotative Fan with Account for the Stress-Strain State on the Basis of a Genetic Algorithm,” Teplofiz. Vys. Temp. No. 1, 22 (2014).

    Google Scholar 

  19. A.A. Kraiko, K.S. P’yankov and N.I. Tillyayeva, “Contouring Two-Sided Asymmetric Plane Maximum-Thrust Nozzles,” Fluid Dynamics 51 (1), 120 (2016).

    Article  MathSciNet  MATH  Google Scholar 

  20. A.N. Gulyaev, V.E. Kozlov, and A.N. Sekundov, “A Universal One-Equation Model for Turbulent Viscosity,” Fluid Dynamics 28 (4), 485 (1993).

    Article  ADS  MATH  Google Scholar 

  21. A.A. Kraiko and K.S. P’yankov, “Contouring Optimal Three-Dimensional Nozzles,” Fluid Dynamics 49 (1), 120 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  22. N.P. Isakova, A.A. Kraiko, and K.S. P’yankov, “Direct Method for Contouring Optimal Three-Dimensional Aerodynamic Shapes,” Zh. Vychisl. Mat. Mat. Fiz. 52, 1976 (2012).

    MATH  Google Scholar 

  23. K.S. P’yankov, Private Communication.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. I. Tillyaeva.

Additional information

Original Russian Text © N.I. Tillyaeva, 2017, published in Izvestiya Rossiiskoi Akademii Nauk,Mekhanika Zhidkosti i Gaza, 2017, No. 4, pp. 140–152.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tillyaeva, N.I. Comparison of the efficiencies of spike and combined annular nozzles. Fluid Dyn 52, 587–598 (2017). https://doi.org/10.1134/S0015462817040123

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0015462817040123

Keywords

Navigation