The Unified Theory for Chain Branching Thermal Explosions with Dissociation-Recombination and Confinement Effects

REFERENCES

• Birkan , M. A. , and Kassoy , D. R. ( 1983 ). The homogeneous thermal explosion with dissociation and recombination . Comb. Sci. Tech , 33 , 135 .
   Web of Science ®Google Scholar
• Baulch , D. L. , Drysdale , D. D. , Home , D. G. , and Lloyd , A. C. ( 1972 ). Evaluated Kinetics Data for High Temperature Reactions, Volume I Homogeneous Gas Phase Reactions of the H₂-O₂ Systems . London Butterworths .
   Google Scholar
• Catalono , E. , McGuire , R. , Lee , E. , Wrenn , E. , Ornellas , D. , and Walton , J. ( 1976 ). The thermal decomposition and reaction of confined explosives . Sixth Symposium (International) on Detonation , Office of Naval Research , p. 214 .
   Google Scholar
• Glassman , I. ( 1977 ). Combustion . New York Academic Press .
   Google Scholar
• Gray , B. F. ( 1969a ). Unified theory of explosions, cool flames and two-stage ignitions, Part 1 . Trans. Faraday Soc. 65 , 1603 .
   Google Scholar
• Gray , B. F. ( 1969b ). Unified theory of explosions, cool flames and two-stage ignitions, Part 3 . Trans. Faraday Soc. 65 , 2133 .
   Google Scholar
• Gray , B. F. , and Yang , C. H. ( 1965 ). On the unification of the thermal and chain theories of explosion limits . J. Phys. Chem. 69 , 2747 .
   Web of Science ®Google Scholar
• Gray , B. F. , and Yang , C. H. ( 1967 ). The present theoretical position in explosion theory . Eleventh Symposium (International) on Combustion , p. 1057 .
   Google Scholar
• Hardesty , D. R. ( 1976 ). An investigation of the shock initiation of liquid nitromethane . Combustion and Flame 27 , 229 .
   Web of Science ®Google Scholar
• Hayes , B. ( 1965 ). On electric conductivity in detonation products . Fourth Symposium (International) on Detonation , Office of Naval Research , p. 595 .
   Google Scholar
• Hulme , B. L. ( 1974 ). Discrete galerkin and related one-step methods for ordinary differential equations . Math. Comp. 26 , 881 .
   Google Scholar
• Kapila , A. K. ( 1978 ). Homogeneous branched-chain explosion initiation to completion . Journal of Engineering Math. 12 , 221 .
   Google Scholar
• Kassoy , D. R. ( 1975 ). A theory of adiabatic, homogeneous explosion from initiation to completion . Comb. Sci. Tech. 10 , 27 .
   Web of Science ®Google Scholar
• Kassoy , D. R. ( 1977 ). The supercritical spatially homogeneous thermal explosion Initiation ot completion . Qrt. J. Mech. Appl. Math. 30 , 71 .
   Google Scholar
• Kassoy , D. R. , and Liflan , A. ( 1978 ). The influence of reactant consumption on the critical conditions for homogeneous thermal explosions . Qrt. J. Mech. Appl. Math. 31 , 99 .
   Web of Science ®Google Scholar
• Kassoy , D. R. , and Poland , J. ( 1975 ). The subcritical spatially homogeneous explosion . Comb. Sci. Tech. 11 , 147 .
   Web of Science ®Google Scholar
• Nunziato , J. W. , Kennedy , J. E. , and Hardesty , D. R. ( 1976 ). Modes of shock wave growth in the initiation of explosives . Sixth Symposium (International) on Detonation , Office of Naval Research , p. 47 .
   Google Scholar
• Nunziato , J. W. , Kennedy , J. E. , and Amos , D. E. ( 1977 ). The thermal ignition time for homogeneous explosives involving two parallel reactions . Combustion and Flame 29 , 265 .
   Google Scholar
• Sen , A. K. , and Law , C. K. ( 1982 ). Explosions with chain branching induction period analysis . Comb. Sci. Tech. 28 , 75 .
   Web of Science ®Google Scholar
• Semenov , N. N. ( 1953 ). Chemical Kinetics and Chain Reactions . Oxford Pergamon Press Ltd .
   Google Scholar
• Strehlow , R. A. ( 1979 ). Fundamentals of Combustion . Robert E. Krieger Publishing Co., Inc.
   Google Scholar
• Tarver , C. M. ( 1982 ). Chemical energy release in one-dimensional detonation waves in gaseous explosives . Combustion and Flame 46 , 111 .
   Web of Science ®Google Scholar
• Williams , F. A. ( 1965 ). Combustion Theory . Reading , Massachusetts Addison-Wesley .
   Google Scholar
• Yang , C. H. ( 1969 ). Two-stage ignition and self-excited thermokinetic oscillations in hydrocarbon oxidation . J. Chem. Phys. 73 , 3407 .
   Google Scholar
• Yang , C. H. , and Gray , B. F. ( 1967 ). The determination of explosion limits from a unified thermal and chain theory . Eleventh Symposium (International) on Combustion , p. 1099 .
   Google Scholar
• Yang , C. H. , and Gray , B. F. ( 1969a ). Unified theory of explosions, cool flames and two-stage ignitions, Part 2 . Trans. Faraday Soc. 65 , 1614 .
   Google Scholar
• Yang , C. H. , and Gray , B. F. ( 1969b ). On the slow oxidation of hydrocarbon and cool flames . J. Chem. Phys. 73 , 3395 .
   Google Scholar