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Original Articles

REDUCED-ORDER MODELING AND DYNAMICS OF NONLINEAR ACOUSTIC WAVES IN A COMBUSTION CHAMBER

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Pages 221-248 | Received 18 Nov 2003, Accepted 29 Jul 2004, Published online: 30 Aug 2006

REFERENCES

  • Ananthkrishnan , N. and Sudhakar , K. ( 1996 ) Characterization of periodic motions in aircraft lateral dynamics . J. Guid. Control Dynam. , 19 , 680 – 685 .
  • 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 .
  • Ananthkrishnan , N. , Sudershan , S. , Sudhakar , K. , and Verma , A. ( 2000 ) Large amplitude limit cycles in resonantly coupled oscillators . J. Sound Vib. , 231 , 1377 – 1382 .
  • 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 .
  • 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 .
  • 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 .
  • Burnley , V.S. ( 1996 ) Nonlinear Combustion Instabilities and Stochastic Sources . Ph.D. Dissertation , California Institute of Technology , Pasadena , CA .
  • Burnley , V.S. and Culick , F.E.C. ( 2000 ) Influence of random excitations of acoustic instabilities in combustion chambers . AIAA J. , 38 , 1403 – 1410 .
  • Chu , B.-T. and Kovasznay , L.S.G. ( 1957 ) Nonlinear interactions in a viscous heat-conducting compressible gas . J. Fluid Mech. , 3 , 494 – 512 .
  • Crocco , L. and Mitchell , C.E. ( 1969 ) Nonlinear periodic oscillations in rocket motors with distributed combustion . Combust. Sci. Technol. , 1 , 147 – 169 .
  • Culick , F.E.C. (1963) High frequency oscillations in liquid rockets . AIAA J. , 1 , 1097 – 1104 .
  • Culick , F.E.C. ( 1968 ) A review of calculations for unsteady burning of a solid propellant . AIAA J. , 6 , 2241 – 2255 .
  • 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 .
  • Culick , F.E.C. ( 1971 ) Nonlinear growth and limiting amplitude of acoustic oscillators in combustion chambers . Combust. Sci. Technol. , 3 , 1 – 16 .
  • Culick , F.E.C. ( 1976 ) Nonlinear behavior of acoustic waves in combustion chambers, parts I and II . Acta Astronaut. , 3 , 714 – 757 .
  • Culick , F.E.C. ( 1994 ) Some recent results for nonlinear acoustics in combustion chambers . AIAA J. , 32 , 146 – 169 .
  • Culick , F.E.C. ( 1996 ) Combustion instabilities in propulsion systems . et al. (Eds.) Unsteady Combustion , Kluwer Academic Publishers , The Netherlands , pp. 173 – 241 .
  • Culick, F.E.C. Dynamics of Combustion Systems: Fundamentals, and Control . http://www.its.caltech.edu/~culick/shortc/shortc-GRC.html (accessed December 10, 2004) .
  • 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 .
  • Culick , F.E.C. , Burnley , V. , and Swenson , G. ( 1995 ) Pulsed instabilities in solid propellant rockets . J. Propul. Power , 11 , 657 – 665 .
  • 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 .
  • Flandro , G.A. ( 1995 ) Effects of vorticity on rocket combustion stability . J. Propul. Power , 11 , 607 – 625 .
  • Harrje , D.J. and Reardon , F.H. (Eds.) ( 1972 ) Liquid Propellant Rocket Instability . NASA SP-194 .
  • Jahnke , C.C. and Culick , F.E.C. ( 1994 ) Application of dynamical systems theory to nonlinear combustion instabilities . J. Propul. Power , 10 , 508 – 517 .
  • Levine , J.N. and Baum , J.D. ( 1983 ) A numerical study of nonlinear instability phenomena in solid rocket motors . AIAA J. , 21 , 557 – 564 .
  • Ma , Y. , van Moorhem , W.K. , and Shorthill , R.W. ( 1991 ) Experimental investigation of velocity coupling in combustion instability . J. Propul. Power , 7 , 692 – 699 .
  • 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 .
  • 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 .
  • 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 .
  • 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 .
  • Paparizos , L.G. and Culick , F.E.C. ( 1989 ) The two-mode approximation to nonlinear acoustics in combustion chambers, I . Combust. Sci. Technol. , 65 , 39 – 65 .
  • Powell , E.A. and Zinn , B.T. ( 1969 ) Solution of linear combustion instability problems using the galerkin method . Israel J. Technol. , 7 , 79 – 89 .
  • Powell , E.A. and Zinn , B.T. (1974) Theoretical investigation of nonlinear three-dimensional instabilities in liquid rockets with real nozzles. Acta Astronaut. , 105, 1051–1073.
  • 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 .
  • Van Moorhem , W.K. ( 1982 ) Flow turning in solid-propellant rocket combustion stability analyses . AIAA J. , 20 , 1420 – 1425 .
  • VKI ( 2002 ) Special Course on Internal Aerodynamics in Solid Rocket Propulsion , Von Karman Institute for Fluid Dynamics , 27–31 May .
  • 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 .
  • 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 .
  • Zinn , B.T. ( 1968 ) A theoretical study of nonlinear combustion instability in liquid propellant rocket engines . AIAA J. , 6 , 1966 – 1972 .

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