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Original Articles

Diffusional/Thermal Coupling and Intrinsic Instability of Solid Propellant Combustion

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Pages 27-84 | Received 29 Jun 1987, Accepted 05 Nov 1987, Published online: 06 Apr 2007

References

  • Booty , M. R. , Margolis , S. B. , and Matkowsky , B. J. ( 1986 ). Interaction of pulsating and spinning waves in condensed phase combustion . SIAM J. Appl. Math. 46 , 801 .
  • Booty , M. R. , Margolis , S. B. , and Matkowsky , B. J. ( 1987 ). Interaction of pulsating and spinning waves in nonadiabatic flame propagation . SIAM J. Appl. Math. , 42 , 1271 .
  • Buckmaster , J. D. ( 1984 ). Polyhedral flames-an exercise in bimodal bifurcation analysis . SIAM J. Appl. Math. , 44 , 40 .
  • Buckmaster , J. D. , and Ludford , G. S. S. ( 1983 ). Lectures on mathematical combustion . CBMS Regional Conference Series in Applied Mathmatics 43 , SIAM , Philadelphia .
  • Buckmaster , J. D. , Kapila , A. K. , and Ludford , G. S. S. ( 1976 ). Linear condensate deflagration for large activationenergy . Acta Astronautica 3 , 593 .
  • Culick , F. E. C. ( 1968 ). A review of calculations for unsteady burning of a solid propellant , AIAA J , 6 , 2241 .
  • de Luca , L. ( 1981 ). Nonlinear stability theory of heterogeneous thin flames . Eighteenth Symposium (International) on Combustion , pp. 1439 – 1450 .
  • Denison , M. R. , and Baum , E. ( 1961 ). A simplified model of unstable burning in solid propellants . ARS J . 31 , 1112 .
  • Dvoryankin , A. V. , Strunina , A. G. , and Merzhanov , A. G. ( 1982 ). Trends in the spin combustion of thermites . Combustion, Explosion and Siwek waves 18 , 134 .
  • Guirao , C. , and Williams , F. A. ( 1971 ). A model for ammonium perchlorate deflagration between 20 and 100 atm . AIAAJ . 9 , 1345 .
  • Hightower , J. D. , and Price , E. W. ( 1967 ). Combustion of ammonium perchlorate . Eleventh Symposium (International) on Combustion , pp. 463 – 472 .
  • Higuera , F. J. , and Liñán , A. ( 1984 ). Stability of solid propellant combustion subject to nonplanar perturbations , in Dynamics of Flames and Reactive Systems—Progress in Astronautics and Aeronautics 95 , pp. 248 – 256 .
  • Joulin , G. , and Clavin , P. ( 1979 ). Linear stability analysis of nonadiabatic flames: diffusional-thermal model . Combust. Flame 35 , 139 .
  • Krier , H. , Tien , J. S. , Sirignano , W. A. , and Summerfield , M. ( 1968 ). Nonsteady burning phenomena of solid propellants: theory and experiments . AIAA J . 6 , 278 .
  • Kubota , N. ( 1984 ). Survey of rocket propellants and their combustion characteristics , in Fundamentals of Solid Propellant Combustion-Progress in Astronautics and Aeronautics 90 , pp. 1 – 52 .
  • Margolis , S. B. ( 1980 ). Bifurcation phenomena in burner-stabilized premixed flames . Combust. Sci. Technol. 22 , 143 .
  • Margolis , S. B. ( 1983 ). An asymptotic theory of condensed two-phase flame propagation . SIAM J. Appl. Math. 43 , 351 .
  • Margolis , S. B. ( 1985 ). An asymptotic theory of heterogeneous condensed combustion . Combust. Sci. Technol. 43 , 197 .
  • Margolis , S. B. , and Armstrong , R. C. ( 1986 ). Two asymptotic models for solid propellant combustion . Combust. Sci. Technol. 47 , 1 .
  • Margolis , S. B. , Kaper , H. G. , Leaf , G. K. , and Matkowsky , B. J. ( 1985 ). Bifurcation of pulsating and spinning reaction fronts in condensed two-phase combustion . Combust. Sci. Technol. 43 , 127 .
  • Margolis , S. B. , and Maikowsky , B. J. ( 1983 ). Nonlinear stability and bifurcation in the transition from laminar to turbulent flame propagation . Combust. Sci. Technol. 34 , 45 .
  • Margolis , S. B. , and Matkowsky , B. J. ( 1985 ). Flame propagation in channels: secondary bifurcation to quasi-periodic pulsations . SIAM J. Appl. Math. 45 , 93 .
  • Margolis , S. B. , and Matkowsky , B. J. ( 1987 ). New modes of quasi-periodic combustion near a degenerate Hopf bifurcation point . SIAM J. Appl. Math. , to appear .
  • Margolis , S. B. , and Sivashinsky , G. J. ( 1984 ). Flame propagation in vertical channels: bifurcation to bimodal cellular flames . SIAM J. Appl. Math. 44 , 344 .
  • Matkowsky , B. J. , and Olagunju , D. O. ( 1980 ). Propagation of a pulsating flame front in a gaseous combustible mixture . SIAM J. Appl. Math. 39 , 290 .
  • Matkowsky , B. J. , and Olagunju , D. O. ( 1982 ). Spinning waves in gaseous combustion , SIAM J. Appl. Math. 42 , 1138 .
  • Matkowsky , B. J. , Putnick , L. J. , and Sivashinsky , G. J. ( 1980 ). A nonlinear theory of cellular flames . SIAM J. Appl. Math. 38 , 489 .
  • Matkowsky , B. J. , and Sivashinsky , G. I. ( 1978 ). Propagation of a pulsating reaction front in solid fuel combustion . SIAM J. Appl. Math. 35 , 465 .
  • Matkowsky , B. J. , and Sivashinsky , G. I. ( 1979 ). An asymptotic derivation of two models in flame theory associated with the constant density approximation . SIAM J. Appl. Math. 37 , 686 .
  • Merzhanov , A. G. , and Borovinskaya , I. P. ( 1975 ). A new class of combustion processes . Combust. Sci. Technol. 10 , 195 .
  • Merzhanov , A. G. , Filonenko , A. K. , and Borovinskaya , J. P. ( 1973 ). New phenomena in combustion of condensed systems . Dokl. Phys. Chem. 208 , 122 .
  • Pelaez , J. , and Linan , A. ( 1985 ). Structure and stability of flames with two sequential reactions . SIAM J. Appl. Math. 45 , 503 .
  • Price , E. W. ( 1984 ). Experimental observations of combustion instability , in Fundamentals of Solid Propellant Combustion—Progress in Astronautics and Aeronautics 90 , pp. 733 – 790 .
  • Sivashinsky , G. J. ( 1975 ). Structure of Bunsen flames . J. Chem. Phys. 62 , 638 .
  • Sivashinsky , G. I. ( 1977 ). Diffusional-thermal theory of cellular flames . Combust. Sci. Technol. 15 , 137 .
  • Sivashinsky , G. J. ( 1979 ). On self-turbulization of a laminar flame . Acta Astronautica 6 , 569 .
  • Sivashinsky , G. J. ( 1981 ). On spinning propagation of combustion waves . SIAM J. Appl. Math. 40 , 432 .
  • Strahle , W. C. ( 1971 ). One-dimensional stability of AP deflagration . AIAAJ. 9 , 565 .
  • Strunina , A. G. , Dvoryankin , A. V. , and Merzhanov , A. G. ( 1983 ). Unstable regimes of thermite system combustion, Combustion . Explosion and Shock Waves , 19 , pp. 158 – 163 .
  • T'ien , J. S. ( 1972 ). Oscillatory burning of solid propellants including gas phase time lag . Combust. Sci. Technol. 5 , 47 .
  • T'ien , J. S. ( 1984 ). Theoretical analysis of combustion instability , in Fundamentals of Solid Propellant Combustion—Progress in Astronautics and Aeronautics 90 , pp. 791 – 840 .
  • Williams , F. A. ( 1962 ). Response of a burning solid to small-amplitude pressure oscillations . J. Appl. Phys. 33 , 3153 .
  • Williams , F. A. ( 1973 ). Quasi-steady gas-phase flame theory in unsteady burning of a homogeneous solid propellant . AIAAJ. 11 , 1328 .
  • Williams , F. A. ( 1985 ). Combustion Theory. Benjamin/Cummings , pp. 245 – 246 , 331 – 335 .

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