The influence of the entrance angle to the bell-shaped tip of a shortened round supersonic nozzle of a rocket engine on its impulse characteristics
1Pryadko, NS, 1Strelnikov, HO, 1Ternova, KV 1Institute of Technical Mechanics of the National Academy of Sciences of Ukraine and State Space Agency of Ukraine, Dnipro, Ukraine |
Space Sci. & Technol. 2024, 30 ;(3):53-60 |
https://doi.org/10.15407/knit2024.03.053 |
Publication Language: Ukrainian |
Abstract: In gas-dynamic studies of rocket engines, much attention is paid to the characteristics of the nozzle - its geometry, momentum, losses, and manifestation of traction characteristics under various operating conditions. This work is devoted to the study of the influence of the entry conditions into the bell-shaped tip of a shortened nozzle on its gas-dynamic and impulse characteristics. We consider shortened nozzles with the same conical supersonic parts and the same total length of the nozzle but with different angles of connection of the conical part of the nozzle with the bell-shaped tip.
When working at sea level, changing the angle of inclination of the forming bell-shaped tip does not significantly change the value of the static pressure at the corner point and the coefficient of nozzle impulse. This is due to the occurrence of flow separation at the corner point and the presence of a large-scale vortex. With a continuous flow in the nozzle during the operation of the rocket engine at altitude, the nature of the pressure distribution on the nozzle wall at the corner point differs when the angle of connection of the conical part with the tip changes, and the maximum value at the nozzle section is approximately the same. This fact is explained by the appearance of a hanging shock wave near the tip wall at small entrance angles (30°).
The study examines the flow's impulse characteristics in the nozzle under different pressure values at the inlet and the surrounding environment. The impulse coefficient in terrestrial conditions depends little on changing the tip and decreases with increasing pressure at the nozzle inlet. When working at height, there is a weak effect of changing the angle of entry into the nozzles on the momentum coefficient.
|
Keywords: bell-shaped tip, corner point, flow disturbance, impulse characteristics, shortened nozzle |
1. Asha G., Naga Mohana D., Sai Priyanka K., Govardhan D. (2021). Design of minimum length nozzle using method of characteristics. Int. J. Eng. Res. and Technol. (IJERT), 10, № 5, 490-495.
2. Basics of working in the finite element software package ANSYS (2013). Lecture notes. Part 2. Kharkiv: publishing house KhNADU, 135 p.
3. Cheng G. C., Nichols R., Neroorkar K. D. (2017). Review and assessment of turbulence transition models. Int. J. Eng. Res. and Develop., 13, № 43, 32-57.
4. Génin C., Schneider D., Stark R. (2021). Dual-bell nozzle design. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 146, 395-406.
https://doi.org/10.1007/978-3-030-53847-7_25
5. Ihnatiev O. D., Pryadko N. S., Strelnikov G. O., Ternova K. V. (2022). Thrust characteristics of a truncated Laval nozzle with a bell-shaped tip. Techn. mech., № 3, 35-46.
https://doi.org/10.15407/itm2022.03.035
6. Joshi P., Gandhi T., Parveen S. (2020). Critical Designing and Flow Analysis of Various Nozzles using CFD analysis. Int. J. Eng. Res. and Technol. (IJERT), 9, № 2, 421-424.
https://doi.org/10.17577/IJERTV9IS020208
7. Kumar M., Fernando D., Kumar R. (2013). Design and optimization of de Lavel nozzle to prevent shock induced flow separation. Adv. Aerospace Sci. and Appl., 3, № 2, 119-124.
8. Menter F. R. (1994). Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J., 32, № 8, 1598-1605.
https://doi.org/10.2514/3.12149
9. Murugappan S., Gutmark E. J., Lakhamraju R. R., Khosla S. (2008). Flow-structure interaction effects on a jet emanating from a flexible nozzle. Phys. Fluids, 20, 117105.
https://doi.org/10.1063/1.3013634
10. Nasuti F., Onofri M., Martelli E. (2005). Role of wall shape on the transition in axisymmetric dual-bell nozzles. J. Propul. Power, 21, № 2, 243-250.
https://doi.org/10.2514/1.6524
11. Nurnberger-Genin C., Stark. R. (2010). Side loads in dual bell nozzles. Part 2: Design parameters. 46th AIAA/ASME/SAE/ ASEE Joint Propulsion Conf. and Exhibit (25 July 2010 - 28 July 2010, Nashville, TN), 1-10.
https://doi.org/10.2514/6.2010-6730
12. Pryadko N. S., Strelnіkov H. O., Ternova K. V. (2024). Research of supersonic flow in shortened nozzles of rocket engines with a bell-shaped tip. Space Sci. and Technol., 30(1), 3-13.
https://doi.org/10.15407/knit2024.01.003
13. Strelnіkov G., Ihnatiev O., Pryadko N., Ternova K. (2022). Efficiency of rocket engine thrust vector control by solid obstacle on the nozzle wall. J. Aerospace Eng., 236(16), 3344-3353.
https://doi.org/10.1177/09544100221083714
14. Strelnikov G., Pryadko N., Ihnatiev O., Ternova K. Choice of a turbulence model for modeling complex flows in rocket engine nozzles. Novel Res. Sci., 10(5), 1-4.
15. Strelnikov G. A., Pryadko N. S., Ternova K. V. (2023). Wave structure of the gas flow in a trunkated nozzle with a long bellshaped tip. Techn. mech., № 1, 40-53.
https://doi.org/10.15407/itm2023.01.040
16. Taylor N., Steelant J., Bond R. (2011). Experimental comparison of dual bell and expansion deflection nozzles. Proc. 47th AIAA/ASME/SAE/ASEE Joint Propulsion Conf. & Exhibition (SanDiego, 2011). Paper № 2011-5688, 1-13.
https://doi.org/10.2514/6.2011-5688
17. Tomita T., Kumada N., Ogawara A. (2010). Conceptual system design study for a linear aerospike engine applied to a future vehicle. 46th AIAA/ASME/SAE/ASEE Joint Propulsion Conf. and Exhibit. (Nashville, TN, 2010), AIAA 2010-7060, 5485-5492.
https://doi.org/10.2514/6.2010-7060
18. Verma S. B. (2009). Performance characteristics of an annular conical aerospike nozzle with freestream effect. J. Propulsion and Power, 25, № 3, 783-791.
https://doi.org/10.2514/1.40302