Computational study of the pin nozzle geometry and the flight conditions influence on the thrust characteristics
Authors: Taran K.A., Fedotova K.V.
Published in issue: #5(161)/2025
Category: Aviation and Rocket-Space Engineering | Chapter: Thermal, Electric Jet Engines, and Power Plants of Aircrafts
The paper provides results of a numerical study of the outflow from the model pointed and shortened pin nozzles at the coflow different gas expansion ratios and Mach numbers. Computation is performed in the 2D axisymmetric stationary formulation, and is based on solution to the Reynolds-averaged Navier—Stokes equations closed by the k—ω SST turbulence model and the ideal gas state equation. The obtained distributions relative to pressure distributions along the pin length are validated against the available experimental data; and they are compared at the different Mach numbers. Analysis of the supercritical thrust coefficient values at the flow 4 Mach numbers shows that with the increasing flight velocity, the thrust coefficient is increasing in the subsonic flow and decreases in the supersonic flow. The paper notes that shortening the pin nozzle ensures a significant advantage in mass with an insignificant loss in thrust.
EDN KPVHSF
References
[1] Levochkin P.S., Lopatin B.V., Nizovtsev V.M., Shirshov V.E. Shtyrevye sopla v razrabotkakh AO “NPO Energomash” [Pin nozzles in developments of the JSC NPO Energomash]. Trudy NPO Energomash — Proceedings of NPO Energomash, 2023, no. 40, pp. 353–367.
[2] Chvanov V.K., Sternin L.E., Levochkin P.S., Lopatin B.V., Ponomarev N.B., Grishko Ya.P., Shirshov V.E., Nizovtsev V.M., Denisov A.E., Yuryev V.Yu. Konstruktorskie razrabotki v proyektakh marshevykh dvigatelnykh ustanovok perspektivnykh raket-nositeley s obshchimi shtyrevymi soplami [Design developments in the projects of sustainer propulsion systems for the promising launch vehicles with the common pin nozzles]. Trudy NPO Energomash — Proceedings of NPO Energomash, 2019, no. 36, pp. 110–140.
[3] Levochkin P.S., Lopatin B.V., Ponomarev N.B., Nizovtsev V.M., Gonchar A.G., Shirshov V.E., Grishko Ya.P., Yuryev V.Yu. Eksperimentalnaya otrabotka marshevykh dvigatelnykh ustanovok so shtyryevoy mnogosoplovoy komponovkoy v sostave demonstratorov tekhnologiy perspektivnykh raket-nositeley [Experimental development of sustainer propulsion systems with a pin multi-nozzle arrangement as part of demonstrators of the promising launch vehicle technologies]. Trudy NPO Energomash — Proceedings of NPO Energomash, 2022, no. S38-39, pp. 176–192.
[4] Chvanov V.K., Sternin L.E., Levochkin P.S., Lopatin B.V., Ponomarev N.B., Grishko Ya.P., Shirshov V.E., Nizovtsev V.M., Denisov A.E., Yuryev V.Yu. Konstruktorskie razrabotki v proyektakh marshevykh dvigatelnykh ustanovok perspektivnykh raket-nositeley s obshchimi shtyrevymi soplami [Design developments in the projects of cruise propulsion systems for the promising launch vehicles with the common pin nozzles]. Trudy NPO Energomash — Proceedings of NPO Energomash, 2019, no. 36, pp. 110–140.
[5] Xiang-Yang Liu, Miao Cheng, Yun-Zhen Zhang, Jian-Ping Wang. Design and optimization of aerospike nozzle for rotating detonation engine. Aerospace Science and Technology, 2022, vol. 120 (6), 107300. https://doi.org/10.1016/j.ast.2021.107300
[6] Kirshina A.A., Levikhin A.A., Kirshin A.Yu. Sravnitelnye rezultaty raschetno-teoreticheskogo issledovaniya koltsevogo sopla s ploskim tsentralnym telom [Comparative results of computational and theoretical study of the annular nozzle with a flat central body]. Vestnik Samarskogo universiteta. Aerokosmicheskaya tekhnika, tekhnologii i mashinostroenie — Vestnik of Samara University. Aerospace and Mechanical Engineering, 2024, vol. 23, no. 2, pp. 28–39.
[7] Utegenov T.M., Tsepkova A.S., Zubanov V.M. Modelirovanie raketnogo dvigatelya s tsentralnym telom [Simulation of a rocket engine with the central body]. In: Materialy dokladov Mezhdunarodnoy nauchno-tekhnicheskoy konferentsii: Problemy i perspektivy razvitiya dvigatelestroyeniya [Proceedings of the International Scientific and Technical Conference. Problems and Prospects of Development of Engine Building], 2018, pp. 290–291.
[8] Mishra A.K., Goswami V., Sarma P. Aerodynamic thrust characteristics and performance valuations for an aerospike nozzle: Review. International Journal of Engineering Applied Sciences and Technology, 2021, vol. 5(11), pp. 128–133.
[9] Pradeep R., Uk T., Prabhu R., Kumar K., Rajaramperumal M, Sumath Eswar K.S., Rajesh M., Mariappan A., Sukumaran A., Kumar V.R.S. Conceptual design and contour optimization of altitude compensation nozzles for SSTO vehicles. In: AIAA Propulsion and Energy 2020 Forum, 2020.
[10] Ferlauto M., Ferrero A., Marsilio R. Fluidic thrust vectoring for annular aerospike nozzle. In: AIAA Propulsion and Energy 2020 Forum, 2020.
[11] Naveen Kumar K., Gopalsamy M., Daniel Antony, Krishnaraj R., Chaparala B.V. Viswanadh. Design and optimization of aerospike nozzle using CFD. In: IOP Conf. Ser.: Mater. Sci. Eng., 2017, vol. 247.
[12] Kaun Y.V., Chernyshov M.S., Matveev S.A. Application of a wide-range nozzle with a central body in ultralight launch vehicles. AIP Conference Proceedings 2549, 2023, Paper No. 070002. 8 p.
[13] Sullivan G. CFD and heat transfer analysis of rocket cooling techniques on an aerospike nozzle. Electronic Theses and Dissertations 2465, 2022.
[14] Kaun Yu.V., Brykov N.A. Mnogourovnevaya matematicheskaya model techeniya gaza v soplovom kanale s tsentralnom telom [Gas flow multilevel mathematical model in the nozzle channel with a central body]. Inzhenerny zhurnal: nauka i innovatsii — Engineering Journal: Science and Innovation, 2022, iss. 9 (129). http://dx.doi.org/10.18698/2308-6033-2022-9-2211
[15] Koltsova T.A. Chislennoe modelirovanie techeniya v donnoy oblasti mnogorazovoy odnostupenchatoy rakety-nositelya v polete s uchetom rabotayushchego dvigatelya vneshnego rasshireniya s tsentralnym telom [Numerical simulation of flow in the bottom of a reusable one-stage launch vehicle in flight with a running externally expanded cruise engine with a central body and gas intake in the bottom]. Izvestiya Tulskogo gosudarstvennogo universiteta. Tekhnicheskie Nauki — Proceedings of the TSU. Technical Sciences, 2019, no. 5, pp. 392–398.
[16] Ruf J., McCjnaughey P. The plume physics behind aerospike nozzle altitude compensation and slipstream effect. In: 33rd Joint Propulsion Conference and Exhibit, 1997, p. 3218.
[17] Hakim K., Toufik H., Mouloudj Y. Study and simulation of the thrust vectoring in supersonic nozzles. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 2022, vol. 93, pp. 13–24.