Reduced-order modeling and dynamics of nonlinear acoustic waves in a combustion chamber

Combustion Science and Technology

Volumn 177, Issue 2, 2005, Pages 221-247

  Ananthkrishnan, N ^a   Deo, Shardul ^a   Culick, Fred E C ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMBUSTION CHAMBERS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; COUPLINGS; ERROR ANALYSIS; FLUID DYNAMICS; GAS DYNAMICS; PARAMETER ESTIMATION; VELOCITY MEASUREMENT;

ACOUSTIC OSCILLATIONS; COMBUSTION DYNAMICS; COMBUSTION INSTABILITY; COMPUTATIONAL STABILITY;

ACOUSTIC WAVES;

EID: 13244269925     PISSN: 00102202     EISSN: None     Source Type: Journal    
DOI: 10.1080/00102200590900219     Document Type: Article

References (39)

1. Ananthkrishnan, N. and Sudhakar, K. (1996) Characterization of periodic motions in aircraft lateral dynamics. J. Guid. Control Dynam., 19, 680-685.
2. Ananthkrishnan, N., Sudhakar, K., Sudershan, S., and Agarwal, A. (1998) Application of secondary bifurcations to large amplitude limit cycles in mechanical systems. J. Sound Vib., 215, 183-188.
3. Ananthkrishnan, N., Sudershan, S., Sudhakar, K., and Verma, A. (2000) Large amplitude limit cycles in resonantly coupled oscillators. J. Sound Vib., 231, 1377-1382.
4. Awad, E. and Culick, F.E.C. (1986) On the existence and stability of limit cycles for longitudinal acoustic modes in a combustion chamber. Combust. Sci. Technol., 46, 195-222.
5. Baum, J.D., Levine, J.N., and Lovine, R.L. (1984) Pulse triggered nonlinear combustion instability in solid rocket motors. AIAA J., 22, 1413-1419.
6. Baum, J.D., Levine, J.N., and Lovine, R.L. (1988) Pulsed instability in rocket motors: A comparison between predictions and experiments. J. Propul. Power, 4, 308-316.
7. Burnley, V.S. (1996) Nonlinear Combustion Instabilities and Stochastic Sources. Ph.D. Dissertation, California Institute of Technology, Pasadena, CA.
8. Burnley, V.S. and Culick, F.E.C. (2000) Influence of random excitations of acoustic instabilities in combustion chambers. AIAA J., 38, 1403-1410.
9. Chu, B.-T. and Kovasznay, L.S.G. (1957) Nonlinear interactions in a viscous heat-conducting compressible gas. J. Fluid Mech., 3, 494-512.
10. Crocco, L. and Mitchell, C.E. (1969) Nonlinear periodic oscillations in rocket motors with distributed combustion. Combust. Sci. Technol., 1, 147-169.
11. Culick, F.E.C. (1963) High frequency oscillations in liquid rockets. AIAA J., 1, 1097-1104.
12. Culick, F.E.C. (1968) A review of calculations for unsteady burning of a solid propellant. AIAA J., 6, 2241-2255.
13. Culick, F.E.C. (1970) Stability of longitudinal oscillations with pressure and velocity coupling in a solid propellant rocket. Combust. Sci. Technol., 2, 179-201.
14. Culick, F.E.C. (1971) Nonlinear growth and limiting amplitude of acoustic oscil-lators in combustion chambers. Combust. Sci. Technol., 3, 1-16.
15. Culick, F.E.C. (1976) Nonlinear behavior of acoustic waves in combustion chambers, parts I and II. Acta Astronaut., 3, 714-757.
16. Culick, F.E.C. (1994) Some recent results for nonlinear acoustics in combustion chambers. AIAA J., 32, 146-169.
17. Culick, F.E.C. (1996) Combustion instabilities in propulsion systems. In Culick, F. E. C. et al. (Eds.) Unsteady Combustion, Kluwer Academic Publishers, The Netherlands, pp. 173-241.
18. Culick, F.E.C. Dynamics of Combustion Systems: Fundamentals, Acoustics, and Control. http://www.its.caltech.edu/~culick/shortc/shortc-GRC.htnil (accessed December 10, 2004).
19. Culick, F.E.C. and Yang, V. (1992) Prediction of the stability of unsteady motions in solid propellant rocket motors. Nonsteady Burning and Combustion Stability of Solid Propellants, In de Luca, L., Price, E.W., and Summerfield M. (Eds.) AIAA, Washington, DC.
20. Culick, F.E.C., Burnley, V., and Swenson, G. (1995) Pulsed instabilities in solid propellant rockets. J. Propul. Power, 11, 657-665.
21. Doedel, E.J., Wang, X.J., Fairgrieve, T.F., Champneys, A.R., Kuznetsov, Y.A., and Sandstede, B. (1998) AUTO97: Continuation and Bifurcation Software for Ordinary Differential Equations (with HomCont), California Institute of Technology, Pasadena, CA.
22. Flandro, G.A. (1995) Effects of vorticity on rocket combustion stability. J. Propul. Power, 11, 607-625.
23. Harrje, D.J. and Reardon, F.H. (Eds.) (1972) Liquid Propellant Rocket Instability. NASA SP-194.
24. Jahnke, C.C. and Culick, F.E.C. (1994) Application of dynamical systems theory to nonlinear combustion instabilities. J. Propul. Power, 10, 508-517.
25. Levine, J.N. and Baum, J.D. (1983) A numerical study of nonlinear instability phenomena in solid rocket motors. AIAA J., 21, 557-564.
26. Ma, Y., van Moorhem, W.K., and Shorthill, R.W. (1991) Experimental investigation of velocity coupling in combustion instability. J. Propul. Power, 1, 692-699.
27. Majdalani, J. and Van Moorhem, W.K. (1997) Multiple scales solution to the acoustic boundary layer in solid rocket motors. J. Propul. Power, 13, 186-193.
28. Majdalani, J., Flandro, G.A., and Roh, T.S. (2000) Convergence of two flowfield models predicting a destabilizing agent in rocket combustion. J. Propul. Power, 16, 492-497.
29. McManus, K.R., Poinsot, T., and Candel, S.M. (1993) A review of active control of combustion instabilities. Prog. Energy Combust. Sci., 19, 1-29.
30. Mitchell, C.E., Crocco, L., and Sirignano, W.A. (1969) Nonlinear longitudinal instability in rocket motors with concentrated combustion. Combust. Sci. Technol., 1, 35-64.
31. Paparizos, L.G. and Culick, F.E.C. (1989) The two-mode approximation to nonlinear acoustics in combustion chambers, I. Exact solution for second order acoustics. Combust. Sci. Technol., 65, 39-65.
32. Powell, E.A. and Zinn, B.T. (1969) Solution of linear combustion instability problems using the galerkin method. Israel J. Technol., 7, 79-89.
33. Powell, E. A. and Zinn, B.T. (1974) Theoretical investigation of nonlinear three-dimensional instabilities in liquid rockets with real nozzles. Acta Astronaut., 1051-1073.
34. Seywert, C. and Culick, F.E.C. (1998) Comparison of Different Approaches for the Approximate Analysis of Combustion Instabilities. 34th JANNAF Combustion Meeting, October 1997, West Palm Beach, FL.
35. Van Moorhem, W.K. (1982) Flow turning in solid-propellant rocket combustion stability analyses. AIAA J., 20, 1420-1425.
36. VKI (2002) Special Course on Internal Aerodynamics in Solid Rocket Propulsion, Von Karman Institute for Fluid Dynamics, 27-31 May.
37. Vuillot, F. and Casalis, G. (2002) Motor Flow Instabilities, Parts 1 and 2. Von Karman Institute for Fluid Dynamics, Special Course on Internal Aerodynamics in Solid Rocket Propulsion, 27-31 May.
38. Yang, V., Kim, S.I., and Culick, F.E.C. (1990) Triggering of longitudinal pressure oscillations in combustion chambers, I: Nonlinear gasdynamics. Combust. Sci. Technol., 72, 183-214.
39. Zinn, B.T. (1968) A theoretical study of nonlinear combustion instability in liquid propellant rocket engines. AIAA J., 6, 1966-1972.