Academia.eduAcademia.edu

Supersonic Flow Separation with Application to Rocket Engine Nozzles

2005, Applied Mechanics Reviews

https://doi.org/10.1115/1.1894402

Abstract

The past decade has seen a qualitative advancement of our understanding of physical phenomena involved in flow separation in supersonic nozzles; in particular, the problem of side loads due to asymmetrical pressure loads, which constitutes a major restraint in the design of nozzles for satellite launchers. The development in this field is to a large extent motivated by the demand for high-performance nozzles in rocket engineering. The present paper begins with an introduction to the physical background of shock-boundary-layer interactions in basic 2D configurations, and then proceeds to internal axisymmetric nozzle flow. Special attention is given to past and recent efforts in modeling and prediction, turning physical insight into applied engineering tools. Finally, an overview is given on different technical solutions to the problem if separation and side loads, discussed in the context of rocket technology.

References (45)

  1. Humble R W, Henry G N and Larson W J (1995), Space propulsion analysis and design, McGraw-Hill, Inc., ISBN-0-07- 031329-6.
  2. Isakowitz S J (1991), International reference guide to space launch systems, AIAA Technical Publications, Washington DC.
  3. Östlund J and Bigert M (1999), A subscale investigation on side-loads in sea level rocket nozzles, 35 th Joint Propulsion Conference and Exhibit, AIAA Paper 99-2759.
  4. Nave L H and Coffey G A (1973), Sea-level side-loads in high area ratio rocket engines, 9 th Propulsion Conference, AIAA Paper 73-1284.
  5. Schmucker R (1973), Flow processes in overexpanding nozzles of chemical rocket engines (In German), Report TB-7,- 10,-14, Technical University Munich, Munich.
  6. Larson E, Ratekin G, O´Connor G (1981), Structural response of the SSME fuel feedline to unsteady shock oscillations, 52 nd Shock and Vibration Symposium, New Orleans.
  7. Dumnov G E (1996), Unsteady side-loads acting on the nozzle with developed separation zone, 32 nd Joint Propulsion Conference and Exhibit, AIAA Paper 96-3220.
  8. Pekkari L-O (1993), Aeroelastic stability of supersonic nozzles with separated flow, 29 th Joint Propulsion Conference and Exhibit, AIAA Paper 93-2588.
  9. Pekkari L-O (1994), Aeroelastic analysis of side-loads in supersonic nozzles with separated flow, 30 th Joint Propulsion Conference and Exhibit, AIAA Paper 94-3377.
  10. Salikuddin M (1992), Unsteady pressures on exhaust nozzle interior surfaces -empirical correlations for prediction, 14 th DGLR/AIAA Aeroacoustics Conference, Proceedings. Vol. 2 (A93-19126 05-71), Bonn, Deutsche Gesellschaft fuer Luft- und Raumfahrt, pp. 873-881.
  11. Darren R and Hidalgo H (1995), Fluctuating pressure analysis of a 2-d SSME nozzle air flow test, In its Thirteenth Workshop for Computational Fluid Dynamic Applications in Rocket Propulsion and Launch Vehicle Technology, (SEE N96-29750 11-34) pp. 723-743.
  12. Foster C and Cowles F (1949), Experimental study of gas flow separation in overexpanded exhaust nozzles for rocket motors, JPL Progress Report 4-103, Jet Propulsion Lab., California Inst. of Tech., Pasadena, CA.
  13. Green L (1953), Flow separation in rocket nozzles, ARS Journal, 23(1).
  14. Summerfield M, Foster C and Swan W (1954), Flow separation in overexpanded supersonic exhaust nozzles, Jet Propulsion, 24.
  15. Campbell C and Farley J (1960), Performance of several conical convergent-divergent rocket type exhaust nozzles, NASA TN D-467, NASA Lewis Research Center, Cleveland OH.
  16. Schilling T W (1962), Flow separation in rocket nozzle, M. S. Thesis, University of Buffalo, New York.
  17. Kalt S and Badal D (1965), Conical rocket nozzle performance under flow separated condition, Journal of Spacecraft and Rockets, 2(3).
  18. Arens, M and Spiegler E (1963), Shock-Induced boundary layer separation in overexpanded conical exhaust nozzles, AIAA Journal, 1(3).
  19. Sunley H and Ferriman D (1964), Jet separation in conical nozzles, Journal of the Royal Aeronautical Society, 68.
  20. Lawrence R A (1967), Symmetrical and unsymmetrical separation in supersonic nozzles, Research report 67-1, Southern Methodist University, Dallas.
  21. Chen C, Chakravarchy S and Hung C (1994), Numerical investigation of separated nozzle flows, AIAA Journal, 32(9).
  22. Nasuti F and Onofri M (1996), Viscous and inviscid vortex generation during nozzle flow transients, 34 th Aerospace Sciences Meeting & Exhibit, AIAA Paper 96-0076.
  23. NASA (1976), NASA space vehicle design criteria (chemical propulsion), liquid rocket engine nozzles, NASA SP-8120, Lewis Research Center, Cleveland OH.
  24. Crocco L and Probstein R (1964), The peak pressure rise across an oblique shock emerging from a turbulent boundary layer over a plane surface, Princeton University, Princeton NJ.
  25. Carriere P (1966), Comments on computational methods of viscous effects in propulsion nozzles (In French), DGRR/WGLR Symposium, also published as ONERA TP 408.
  26. Carrière P, Sirieix M and Solignac J-L (1968), Propértiés de similitude des phénomènes de décollement laminaires ou turbulents en écoulemnt supersonique non uniforme, 12 th International Congress of Applied Mechanics, Stanford University, Stanford, also ONERA TP N° 659F.
  27. Lewis J E, Kubota T and Lees L (1968), Experimental investigation of supersonic laminar, two-dimensional boundary layer separation in a compression corner with and without wall cooling, AIAA Journal, 6, 7-14.
  28. Dumnov G E, Nikulin G Z, Voinov A L and Zyuzin V I (1995), Nozzle flow separation and unsteady side-loads, Conference on Propulsive Flows in Space Transportation System, pp. 798-816.
  29. Kudryavtsev V M (1975), Fundamentals of theory and calculations of liquid rocket engines (In Russian), Moscow High School, Moscow.
  30. Malik T I and Tagirov R K (1988), A semiempirical method for calculating separated turbulent flow in a conical Laval nozzle in the reexpansion mode (In Russian), Akademiia Nauk SSSR, Izvestiia, Mekhanika Zhidkosti i Gaza , 60-66.
  31. Tuovila W J and Land N S (1968), Experimental study of aeroelastic instability of overexpanded rocket nozzle extensions, NASA TN D-4471, Langley Research Center, Langely Station, Hampton, Va.
  32. Mattsson J (changed name to Östlund 1999), Högman U and Torngren L (1998), A sub-scale test programme on investigation of flow separation and side-loads in rocket nozzles, Proceedings of the 3 rd European Symposium on Aerothermodynamics of Space Vehicles, ESA SP-426, 373-378.
  33. Mattsson J (changed name to Östlund 1999) (1998), Subscale testing of flexible nozzles, In Proceedings of European Seminar on rocket nozzle flows, CNES, Paris.
  34. Östlund J, Damgaard T, Frey M (2001), Side-load phenomena in highly overexpanded rocket nozzles, 37 th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, AIAA Paper 2001-3684.
  35. Frey M and Hagemann G (1998), Status of flow separation prediction in rocket nozzles, 34 th Joint Propulsion Conference and Exhibit, AIAA Paper 98-3619.
  36. Terhardt M, Hagemann G and Frey M (1999), Flow separation and side-load behaviour of the Vulcain engine, 35 th Joint Propulsion Conference and Exhibit, AIAA Paper 99-2762.
  37. Östlund J (2002), Flow processes in rocket engine nozzles with focus on flow separation and side-loads, Licentiate Thesis TRITA-MEK 2002:09, Royal Institute of Thechnology, Stockholm, Sweden
  38. Hagemman G, Terhardt M, Frey M, Reijasse P, Onofri M, Nasuti F and Östlund J (2000), Flow separation and side-loads in rocket nozzles, 4 th International Symposium on Liquid Space Propulsion.
  39. Frey M, Ryden R, Aziary de Roquefort T, Hagemann G, James P, Kachler T, Reijasse P, Schwane R and Stark R (2002), European cooperation on flow separation control, 4 th International Conference on Launcher Technology "Space Liquid Propulsion".
  40. Stanke H (1986), Test report on the results on HM60-subscale test series 3, Vulcain Ne Project Report HM RT 110 0000 501, MBB, Ottobrun.
  41. Hagemann G, Alting J and Preclik D (2001), Scalability discussion for rocket nozzle flows based on subscale and full- scale testing, 4 th European Symposium on Aerothermodynamics for Space Vehicles.
  42. Frey M and Hagemann G (1999), Flow separation and side-loads in rocket nozzles, 35 th Joint Propulsion Conference and Exhibit, AIAA Paper 99-2815.
  43. Frey M, Stark, R, Cieaki H K, Quessard F and Kwan W (2000), Subscale nozzle testing at the P6.2 test stand, 36 th Joint Propulsion Conference and Exhibit, AIAA Paper 2000-3777.
  44. Reijasse P, Servel P and Hallard R (1999), Synthesis of the 1998-1999 ONERA works in the FSCD working group, ONERA RTS 49/4361 DAFE/Y, ONERA, Châtillon-sous-Bagneux.
  45. Tomita T, Takahashi M, Ueda S, Tamura H and Aoki K (2001), Visualization of the formation of separation bubbles on a bell-shaped nozzle surface in relation to serious side-load, 37 th Joint Propulsion Conference and Exhibit, AIAA Paper 2001-3559.