Laminar cold-flow model for the internal gas dynamics of a slab rocket motor

Aerospace Science and Technology

Volumn 5, Issue 3, 2001, Pages 193-207

  Majdalani, Joseph ^a   Van Moorhem, William K ^b  

^a Marquette University   (United States)

^b UNIVERSITY OF UTAH   (United States)

Author keywords

Acoustic boundary layer; Laminar; multiple scales; Oscillatory; Vorticity dynamics; WKB

Indexed keywords

EID: 0035607326     PISSN: 12709638     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1270-9638(01)01095-1     Document Type: Article

References (45)

1. Apte S., Yang V., Effects of acoustic oscillations on turbulent flowfield in a porous chamber with surface transpiration, AIAA Paper 98-3219, 1998.
2. Avalon G., Casalis G., Griffond J., Flow instabilities and acoustic resonance of channels with wall injection, AIAA Paper 98-3218, 1998.
3. Barron J., The onset of turbulence in a simulation of the oscillating flow over a burning propellant, Ph.D. dissertation, University of Utah, 1997.
4. Barron J., Majdalani J., Van Moorhem W.K., A novel investigation of the oscillatory field over a transpiring surface, AIAA Paper 98-2694, 1998.
5. Bender C.M., Orszag S.A., Advanced Mathematical Methods for Scientists and Engineers, McGraw-Hill Book Company Inc., New York, 1978.
6. Berman A.S., Laminar flow in channels with porous walls, J. Appl. Phys. 24 (9) (1953) 1232-1235.
7. Brown R.S., Blackner A.M., Willoughby P.O., Dunlap R., Coupling between acoustic velocity oscillations and solid propellant combustion, J. Propul. Power 2 (5) (1986) 428-437.
8. Brown R.S., Blackner A.M., Willoughby P.G., Dunlap R., Coupling between velocity oscillations and solid propellant combustion, AIAA 24th Aerospace Sciences Meeting Paper 86-0531, 1986.
9. Butcher J.C., On Runge-Kutta processes of higher order, J. Aus. Math. Soc. 4 (1964) 179-194.
10. Casalis G., Avalon G., Pineau J.-P., Spatial instability of planar channel flow with fluid injection through porous walls, Phys. Fluids 10 (10) (1998) 2558-2568.
11. Chu B.-T., Kovśznay L.S.G., Non-linear interactions in a viscous heat-conducting compressible gas, J. Fluid Mech. 3 (5) (1957) 494-514.
12. Cole J.D., Aroesty J., The blowhard problem-inviscid flows with surface injection, International J. Heat Mass Trans. 11 (7) (1968) 1167-1183.
13. Culick F.E.C., Rotational axisymmetric mean flow and damping of acoustic waves in a solid propellant rocket, AIAA J. 4 (8) (1966) 1462-1464.
14. Culick F.E.C., Combustion instabilities: mating dance of chemical, combustion, and combustor dynamics, AIAA Paper 2000-3178, 2000.
15. Dunlap R., Blackner A.M., Waugh R.C., Brown R.S., Willoughby P.G., Internal flow field studies in a simulated cylindrical port rocket chamber, J. Propul. Power 6 (6) (1990) 690-704.
16. Dupays J., Contribution l̀'Étude du Rôle de la Phase Condensée dans la Stabilité d'un MPS pour Lanceur Spatial, Ph.D. dissertation, ONERA, 1996.
17. Dupays J., Prevost M., Tarrin P., Vuillot P., Effects of particulate phase on vortex shedding driven oscillations in solid rocket motors, AIAA 32nd Joint Propulsion Conference Paper 96-3248, 1996.
18. Flandro G.A., Solid propellant acoustic admittance corrections, J. Sound Vib. 36 (3) (1974) 297-312.
19. Flandre G.A., Effects of vorticity transport on axial acoustic waves in a solid propellant rocket chamber, in: Combustion Instabilities Driven by Thermo-Chemical Acoustic Sources, Noise Control & Acoustics, Vol. 4, American Society of Mechanical Engineers, New York, 1989, pp. 53-61.
20. Flandro G.A., Effects of vorticity on rocket combustion stability, J. Propul. Power 11 (4) (1995) 607-625.
21. Flandro G.A., On flow turning, AIAA Paper 95-2530 1995.
22. Flandro G.A., Roach R.L., Effects of vorticity production on acoustic waves in a solid propellant rocket, Report 2060 FR, Air Force Office of Scientific Research, Bolling AFB, DC, 1992. AFOSR Final Report.
23. Kirkkopru K., Kassoy D.R., Zhao Q., Unsteady vorticity generation and evolution in a model of a solid rocket motor, J. Propul. Power 12 (4) (1996) 646-654.
24. Lighthill MJ., The response of laminar skin friction and heat transfer to fluctuations in the stream velocity, Proc. Roy. Soc. Lond. A 224 (1954) 1-23.
25. Lupoglazoff N., Vuillot F., Numerical simulation of vortex shedding phenomenon in 2D test case solid rocket motors, AIAA 30th Aerospace Sciences Meeting Paper 92-0776, 1992.
26. Ma Y., A simulation of the flow near a burning propellant in a solid propellant rocket motor, Ph.D. dissertation, University of Utah, 1990.
27. Ma Y., Van Moorhem W.K., Shorthill R.W., Innovative method of investigating the role of turbulence in the velocity coupling phenomenon, in: Combustion Instabilities Driven by Thermo-Chemical Acoustic Sources, Vol. NCA 4, HTD 128, American Society of Mechanical Engineers, New York, 1989, pp. 17-22.
28. Ma Y., Van Moorhem W.K., Shorthill R.W., Innovative method of investigating the role of turbulence in the velocity coupling phenomenon, ASME J. Vibr. Acoust. 112 (4) (1990) 550-555.
29. Ma Y., Van Moorhem W.K., Shorthill R.W., Experimental investigation of velocity coupling in combustion instability, J. Propul. Power 7 (5) (1991) 692-699.
30. Majdalani J., A hybrid multiple scale procedure for boundary layers involving several dissimilar scales, J. Appl. Math. Phys. (ZAMP) 49 (6) (1998) 849-868.
31. Majdalani J., Flandro G.A., Roh T.S., Convergence of two flowfield models predicting a destabilizing agent in rocket combustion, J. Propul. Power 16 (3) (2000) 492-497.
32. Majdalani J., Van Moorhem W.K., A multiple-scales solution to the acoustic boundary layer in solid rocket motors, J. Propul. Power 13 (2) (1997) 186-193.
33. Majdalani J., Van Moorhem W.K., Improved time-dependent flowfield solution for solid rocket motors, AIAA J. 36 (2) (1998) 241-248.
34. Rao N.X., An investigation of the simulation of a solid propellant rocket motor using sublimation of dry ice, Ph.D. dissertation, University of Utah, 1991.
35. Rao N.X., Van Moorhem W.K., Interactions of particles with the flow near the burning surface of a solid propellant rocket, AIAA Paper 93-0110, 1993.
36. Roh T.S., Personal communication, The California Institute of Technology, 1998.
37. Roh T.S., Apte S.V., Yang V., Transient combustion response of homogeneous solid propellant to acoustic oscillations in a rocket motor, Int. Symp. Combustion 2 (1998) 2335-2341.
38. Roh T.S., Culick F.E.C., Transient combustion response of homogeneous propellants to acoustic oscillations in axisymmetric rocket motors, AIAA Paper 97-3325, 1995.
39. Roh T.S., Tseng I.S., Yang V., Effects of acoustic oscillations on flame dynamics of homogeneous propellants in rocket motors, J. Propul. Power 11 (4) (1995) 640-650.
40. Taylor G.I., Fluid flow in regions bounded by porous surfaces, Proc. Roy. Soc. Lond. A 234 (1199) (1956) 456-475.
41. Traineau J.C., Hervat P., Kuentzmann P., Cold-flow simulation of a two-dimensional nozzleless solid-rocket motor, AIAA Paper 86-1447, 1986.
42. Vuillot R, Vortex-shedding phenomena in solid rocket motors, J. Propul. Power 11 (4) (1995) 626-639.
43. Vuillot F., Avalon G., Acoustic boundary layer in large solid propellant rocket motors using Navier-Stokes equations, J. Propul. Power 7 (2) (1991) 231-239.
44. Yang V., Cai W., Personal communication, Pennsylvania State University, 1998.
45. Yuan S.W., Further investigation of laminar flow in channels with porous walls, J. Appl. Phys. 27 (3) (1956) 267-269.