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.
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References
G. Hagemann, H. Immich, T.V. Ngyuen, and G.E. Dumnov, “Advanced Rocket Nozzles,” J. Propulsion Power 14, 620 (1998).
G.V.R. Rao, “The E-D Nozzle,” Astronautics, No. 5, 50 (1960).
G.V.R. Rao, “Recent Developments in Rocket Nozzle Configurations,” ARS J. No. 11, 1488 (1961).
G. Dumnov, V. Klimov, and N. Ponomarev, “Investigation of Linear Plug Layouts of Rocket Engines for Reusable Launch Vehicles,” AIAA Paper No. 3288 (2000).
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).
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).
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.
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.
A.N. Kraiko, Variational Problems of Gasdynamics [in Russian], Nauka, Moscow (1979).
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).
A.N. Kraiko and N.I. Tillyayeva, “Optimal Profiling of the Supersonic Part of a Plug Nozzle Contour,” Fluid Dynamics 35 (6), 945 (2000).
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).
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).
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.
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).
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).
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).
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).
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).
A.N. Gulyaev, V.E. Kozlov, and A.N. Sekundov, “A Universal One-Equation Model for Turbulent Viscosity,” Fluid Dynamics 28 (4), 485 (1993).
A.A. Kraiko and K.S. P’yankov, “Contouring Optimal Three-Dimensional Nozzles,” Fluid Dynamics 49 (1), 120 (2014).
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).
K.S. P’yankov, Private Communication.
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Original Russian Text © N.I. Tillyaeva, 2017, published in Izvestiya Rossiiskoi Akademii Nauk,Mekhanika Zhidkosti i Gaza, 2017, No. 4, pp. 140–152.
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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
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DOI: https://doi.org/10.1134/S0015462817040123