25
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Stability of Non-Adiabatic Solid-Solid Combustion

, , , &
Pages 185-204 | Published online: 03 May 2007

REFERENCES

  • Aleksandrov , V. V. , Davydenko , A. A. , Kovalcnko Yu. A., and Poddudnyi , N. P. ( 1987 ). Influence of Two-dimensionality of the Front with Heal Losses on the Limits of Stationary Gasless Combustion . Fiz. Gor. Vzryva 23 , 2 .
  • Bayliss , A. and Matkowsky , B. J. ( 1987 ). Fronts, Relaxation Oscillations, and Period Doubling in Solid Fuel Combustion , J. Comp. Phys. 71 , 147 .
  • Bayliss , A. and Matkowsky , B. J. ( 1990 ). Two Routes to Chaos in Condensed Phase Combustion . SIAM J. Appl. Math. 50 , 2 .
  • Booty , M. R. , Margolis , S. B. , Matkowsky , B. J. ( 1986 ). Interaction of Pulsating and Spinning Waves in Condensed Phase Combustion . SIAM J. Appl. Math. 46 , 801 .
  • Buckmaster , J. , and Ludford , G. ( 1983 ). Lectures of Mathematical Combustion , Society for Industrial and Applied Mathematics , p, 73 , Philadelphia .
  • Crider , J. F. ( 1982 ). Self-Propagating High Temperature Synthesis—A Soviet Method for Producing Ceramic Materials . Cer. Eng, Sci. Proc. 3 , 519 .
  • Dimitriou , P. A. , Puszynski , J. , and Hlavacek , V. ( 1989 ). On the Dynamics of the Equations describing Gasless Combustion in Condensed Systems . Comb. Sci. and Tech. 68 , 101 .
  • Dvoryankin , A. V. , Strunina , A. G. , and Merzhanov , A. G. ( 1982 ). Trends in the Spin Combustion of Thermites . Fiz. Gor. Vzryva 18 , 10 .
  • Feigenbaum , M. J. ( 1980 ). Universal Behavior in Nonlinear Systems . Los Alamos Science , 4 .
  • Firsov , A. N. and Shkadinskii , K. G. ( 1987 ). Combustion of Gasless Compositions in the Presence of Heat Losses . Fiz. Gor. Vzryva 23 , 3 .
  • Hlavacek , V. , Puszynski , J. Degreve , J. , and Kumar , S. ( 1986 ). Propagation of Reaction Front in Exothermic Heterogeneous Noncatalylic Systems Solid-Solid and Solid-Gas . Chem. Engng. Sci. 41 ( 4 ), 877 .
  • Khaikin , B. and Merzhanov , A. G. ( 1966 ). Theory of Thermal Propagation of a Chemical Reaction Front . Fiz. Gor. Vzryva 2 , 36 .
  • Kovalenko , Yu. A. ( 1987 ). Limiting Conditions for Steady Gasless Combustion with Heat Transfer at the Wall . Fiz. Gor. Vzryva 23 , 6 .
  • Kumar , S. ( 1988 ). Self-Propagating High-Temperature Synthesis of Ceramic Materials . Ph.D. Dissertation , State University of New York at Buffalo , Buffalo , NY .
  • Kumar , S. , Puszynski , J. , and Hlavacek , V. ( 1990 ). Combustion Characteristics of Solid-Solid Systems Experiments and Modeling . In Munir, A. A. and Hot. B. J. (Eds.) Combustion and Plasma Synthesis of High-Temperature Materials . VCH Publishers, Inc. , New York , pp. 273 – 2870 .
  • Maksimov , E. I. and Shkadinskii , K. G. ( 1971 ). Steady-State Combustion Stability of Gasless Composlions . Fiz. Gor. Vzryva 7 , 454 .
  • Margolis , S. B. ( 1983 ). An Asymptotic Theory of Condensed Two-Phase Flame Propagation . SIAM J. Appl. Math. 43 , 351 .
  • Margolis , S. B. , Kaper , H. G. , Leaf , G. K. , Matkowsky , B. J. ( 1985 ). Bifurcation of Pulsating and Spinning Reaction Fronts in Condensed Two-Phase Combustion . Combust. Sci. and Tech. 43 , 127 . ( 1985 ).
  • Margolis , S. B. ( 1985 ). An Asymptotic Theory of Heterogeneous Condensed Combustion . Comb. Sci. and Tech. 43 , 197 .
  • Matkowsky , B. J. , and Sivashinsky , G. I. ( 1978 ). Propagation of a Pulsating Reaction Front in Solid Fuel Combustion . SIAM J. Appl. Math. 35 , 465 .
  • Makhviladze , G. M. , and Novozhilov , B. V. ( 1971 ), Two-Dimensional Stability of the Combustion of Condensed Systems . Zh. Prikl. Mekhan. i Tekh. Fiz. 5 , 51 .
  • Merzhanov , A. G. , Filonenko , A. , Borovinskaya , I. P. ( 1973 ). New Phenomena in Combustion of Condensed Systems . Dokl. Akad. Nauk SSSR 208 , 892 .
  • Merzhanov , A. G. Borovinskaya , I. P. ( 1975 ). A New Class of Combustion Processes . Comb. Sci. and Tech. 10 , 195 .
  • Merzhanov , A. G. ( 1981 ). SHS Process Combustion Theory and Practice . Archivum Combustion 1 , 23 .
  • Munir , Z. A. , Synthesis of High Temperature Materials by Self-Propagating Combustion Methods . Ceramic Bulletin 67 , 342 .
  • Puszynski , J. , Degreve , J. , Kumar , S. , and Hlavacek , V. ( 1986 ). Propagation of Reaction Fronts in Exothermic Heterogeneous Noncatalytic Systems Solid-Solid and Solid-Gas . Lectures in Applied Mathematics . 24 .
  • Puszynski , J. , Degreve , J. and Hlavacek , V. ( 1987 ). Modeling of Exothermic Solid-Solid Noncatalytic Reactions . Ind. Eng. Chem. Res. 26 , 1424 .
  • Puszynski , J. , Kumar , S. , Dimitrious , P. A. , and Hlavacek , V. ( 1988 ). A Numerical and Experimental Study of Reaction Front Propagation in Condensed Phase Systems . Z. Naturforsch 43a 1017 .
  • Shkadinskii , K. , Khaikin , B. , and Merzhanov , A. G. ( 1971 ). Propagationof a Pulsating Exothermic Reaction Front in the Condensed Phase . Fiz. Gor. Vzryva 7 , 19 .
  • Sivashinsky , G. I. ( 1981 ). On Spinning Propagation of Combustion Waves . SIAM J Appl. Math. 40 , 432 .
  • Varma , A. , Cao , G. , and Morbidelli , M. , Self-Propagating Solid-solid Noncatalytic Reactions in Finite Pellets . AIChEJ. 36 , ( 7 ), 1032 .
  • Vol'pert , V. A. , Vol'pert , A. I. , and Merzhanov , A. G. ( 1982 ). Analysis of Multidimensional Combustion Regimes by Bifurcation Theory Methods . Dokl Akad. Nauk. SSSR 263 , 4 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.