FUNDAMENTAL TWO-PHASE-FLOW MODELS OF COMBUSTION IN POROUS ENERGETIC MATERIALS

REFERENCES

• Baer , M.R. and Nunziato , J.W. (1986) A two-phase mixture theory for the deflagration-to-detonation transition (DDT) in reactive granular materials . Int. J. Multiphase Flow , 12 , 861 – 889 . [CSA]
   Web of Science ®Google Scholar
• Baer , M.R. and Shepherd , J.E. (1984) A thin flame model for reactive flow in porous materials . Sandia National Laboratories Report SAND83-2576 .
   Google Scholar
• Belyaev , A.F. , Bobolev , V.K. , Korotkov , A.I. , Sulimov , A.A. , and Chuiko , S.V. (1975) Transition from Deflagration to Detonation in Condensed Phases , Israel Program for Scientific Translations , Jerusalem .
   Google Scholar
• Boggs , T.L. (1984) The thermal behavior of cyclotrimethylenetrinitramine (RDX) and cyclotetramethylenetetranitramine (HMX) . In Kuo , K.K. and Summerfield , M. (Eds.) Fundamentals of Solid-Propellant Combustion, Progress in Astronautics and Aeronautics , Vol. 90 , AIAA , New York , pp. 121 – 175 .
   Google Scholar
• Bush , W.B. and Fendell , F.E. (1970) Asymptotic analysis of laminar flame propagation for general Lewis numbers. Combust. Sci. Technol. , 1, 421–428.
   Google Scholar
• Denison , M.R. and Baum , E. (1961) A simplified model of unstable burning in solid propellants . ARS J. , 31 , 1112 – 1122 .
   Google Scholar
• Drew , D.A. (1983) Mathematical modeling of two-phase flow In Van Dyke , M. , Wehausen , J.V. , and Lumley , J.L. (Eds.) Annual Review of Fluid Mechanics , Annual Reviews Inc. , Palo Alto , CA , Vol. 15 , pp. 261 – 291 .
   Google Scholar
• Ermolayev , B.S. , Borisov , A.A. , and Khasainov , B.A. (1975) Comments on “Theory of steady-state burning of gas-permeable propellants.” AIAA J. , 13 , 1128 .
   Google Scholar
• Fifer , R.A. and Cole , J.E. (1981) Transitions from laminar burning for porous crystalline explosives . In Proceedings, Seventh International Detonation Symposium , Annapolis , MD , pp. 164 – 174 .
   Google Scholar
• Gokhale , S.S. and Krier , H. (1982) Modeling of unsteady two-phase reactive flow in porous beds of propellant . Prog. Energy Combust. Sci. , 8 , 1 – 39 . [CSA] [CROSSREF]
   Google Scholar
• Gough , P.S. and Zwarts , F.J. (1979) Modeling heterogeneous two-phase reacting flow . AIAA J. , 17 , 17 – 25 .
   Google Scholar
• Hinch , E.J. (1991) Perturbation Methods , Cambridge University Press , Cambridge , UK .
   Google Scholar
• Kuo , K.K. and Summerfield , M. (1974) Theory of steady-state burning of gas-permeable propellants . AIAA J. , 12 , 49 – 56 .
   Google Scholar
• Li , S.C. , Williams , F.A. , and Margolis , S.B. (1990) Effects of two-phase flow in a model for nitramine deflagration . Combust. Flame , 80 , 329 – 349 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Maksimov , E.I. and Merzhanov , A.G. (1966) Theory of combustion of condensed substances . Combust. Explos. Shock Waves , 2 , 25 – 31 . [CROSSREF]
   Google Scholar
• Margolis , S.B. (1991) The transition to nonsteady deflagration in gasless combustion . Prog. Energy Combust. Sci. , 17 , 135 – 162 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. (1998) Influence of pressure-driven gas permeation on the quasi-steady burning of porous energetic materials . Combust. Theory Model. , 2 , 95 – 113 . [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. and Baer , M.R. (2001) A singular-perturbation analysis of the burning-rate eigenvalue for a two-temperature model of deflagrations in confined porous energetic materials . SIAM J. Appl. Math. , 62 , 627 – 663 . [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. and Telengator , A.M. (2001) Influence of sublimation and pyrolysis on quasi-steady deflagrations in confined porous energetic materials . Combust. Flame , 127 , 2135 – 2156 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. , Telengator , A.M. , and Williams , F.A. (2002) Intrusive-limit deflagrations in confined porous energetic materials . Proc. Combust. Inst. , 29 , 2913 – 2922 . [CSA]
   Web of Science ®Google Scholar
• Margolis , S.B. , Telengator , A.M. , and Williams , F.A. (2003) Influence of subsurface gaseous combustion on the burning of confined porous energetic materials . Combust. Sci. Technol. , 175 , 421 – 452 . [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (1988) Diffusional/thermal coupling and intrinsic instability of solid propellant combustion. Combust. Sci. Technol. , 59, 27–84.
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (1989) Diffusional/thermal instability of a solid propellant flame . SIAM J. Appl. Math. , 49 , 1390 – 1420 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (1990) Stability of homogeneous-solid deflagration with two-phase flow in the reaction zone . Combust. Flame , 79 , 199 – 213 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (1995a) Effects of two-phase flow on the deflagration of porous energetic materials . J. Propul. Power , 11 , 759 – 768 . [CSA]
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (1995b) Influence of porosity and two-phase flow on diffusional/thermal instability of a deflagrating energetic material . Combust. Sci. Technol. , 106 , 41 – 68 .
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (1996) Effect of gas-phase thermal expansion on stability of deflagrations in porous energetic materials . Int. J. Multiphase Flow , 22 , 69 – 91 . [CROSSREF]
   Web of Science ®Google Scholar
• Margolis , S.B. and Williams , F.A. (2000) Structure and stability of deflagrations in porous energetic materials In Yang , V. , Brill , T.B. , and Ren , W.-Z. (Eds.) Solid Propellant Chemistry, Combustion and Motor Interior Ballistics , AIAA Progress in Astronautics and Aeronautics , Vol. 185 , pp. 549 – 590 .
   Google Scholar
• Margolis , S.B. , Williams , F.A. , and Armstrong , R.C. (1987) Influences of two-phase flow in the deflagration of homogeneous solids . Combust. Flame , 67 , 249 – 258 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Merzhanov , A.G. (1969) The theory of stable homogeneous combustion of condensed substances . Combust. Flame , 13 , 143 – 156 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Mitani , T. and Williams , F.A. (1986) A model for the deflagration of nitramines . Proc. Combust. Inst. , 21 , 1965 – 1974 . [CSA]
   Google Scholar
• Probstein , R.F. (1989) Physicochemical Hydrodynamics , Butterworths , Boston .
   Google Scholar
• Taylor , J.W. (1962) The burning of secondary explosive powders by a convective mechanism . Trans. Faraday Soc. , 58 , 561 . [CROSSREF]
   Google Scholar
• Telengator , A.M. , Margolis , S.B. , and Williams , F.A. (2000) Stability of quasi-steady deflagrations in confined porous energetic materials . Combust. Sci. Technol. , 160 , 259 – 316 .
   Web of Science ®Google Scholar
• Telengator , A.M. , Margolis , S.B. , and Williams , F.A. (2005) Influence of distributed solid-phase reactions on deflagrations in confined porous propellants . Proc. Combust. Inst. , 30 , 2087 – 2095 . [CROSSREF]
   Web of Science ®Google Scholar
• Van Dyke , M. (1964) Perturbation Methods in Fluid Mechanics , Academic Press , New York .
   Google Scholar
• Wahle , C.W. , Matkowsky , B.J. , and Aldushin , A.P. (2003) Effects of gas-solid nonequilibrium in coflow filtration combustion . Combust. Sci. Technol. , 175 , 1389 – 1499 .
   Web of Science ®Google Scholar
• Williams , F.A. (1975) A review of some theoretical considerations of turbulent flame structure . AGARD Conference Proceedings , No. 164 , III . 1 – 25 .
   Google Scholar