Fractal structure and features of energy-release (combustion) processes in heterogeneous condensed systems

Combustion, Explosion and Shock Waves

Volumn 33, Issue 5, 1997, Pages 513-527

  Frolov, Yu V ^a   Pivkina, A N ^a  

^a SEMENOV INSTITUTE OF CHEMICAL PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031350663     PISSN: 00105082     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02672736     Document Type: Article

References (27)

1. Ya. B. Zel'dovich, "On combustion theory for powders and explosives," Zh. Éksp. Teor. Fiz., 12, No. 1, 498 (1942).
2. A. F. Belyaev, "On combustion of explosives," Zh. Fiz. Khim., 12, No. 1, 93 (1938).
3. O. I. Leipunskii and Yu. V. Frolov (eds.), Theory of Combustion of Powders and Explosives [in Russian], Nauka, Moscow (1982).
4. A. F. Belyaev, Yu. V. Frolov, and F. I. Dubovitskii, "Combustion rate in condensed composite systems with various degrees of component mixing," Fiz. Goreniya Vzryva, 4, No. 1, 1-10 (1968).
5. B. S. Ermolaev, A. I. Korotkov, and Yu. V. Frolov, "Combustion in layered condensed systems," Fiz. Goreniya Vzryva, 6, No. 3, 277-284 (1970).
6. V. B. Librovich, "On the characteristic combustion rate of composite powders," Prikl. Mekh. Tekh. Fiz., No. 4, 33-39 (1962).
7. Ya. B. Zel'dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, Mathematical Theory of Combustion and Explosion [in Russian], Nauka, Moscow (1980).
8. P. F. Pokhil, A. F. Belyaev, Yu. V. Frolov, et al., Combustion of Powder Metals in Active Media [in Russian], Nauka, Moscow (1972).
9. Yu. V. Frolov and B. E. Nikol'skii, "Spatial structure and concentration limits of combustion of gasless systems," Dokl. Akad. Nauk SSSR, 305, No. 2, 386 (1989).
10. B. B. Mandelbrot, Fractal Geometry of Nature, Freeman, San Francisco (1982).
11. H. Gould and J. Tobochnik, An Introduction to Computer Simulation Methods. Applications to Physics, Addison-Wesley Publ., New York (1988).
12. J. P. Fitzpatrick, R. B. Malt, and F. Spaepen, "Percolation theory of conductivity of random close packed mixtures of hard spheres," Phys. Lett., A47, 207 (1974).
13. F. C. Gouldin, "An application of fractals to modeling premixed turbulent flames," Combust. Flame, 68, 249 (1987).
14. N. S. Cohen, "A pocket model for aluminum agglomeration in composite propellants," AIAA J., 21, No. 5, 720-725 (1983).
15. W. C. Strahle, "Some statistical considerations in the burning of composite solid propellants," AIAA J., 16, No. 8, 843-847 (1978).
16. U. Wendtland, Thermal Methods of Analysis [Russian translation], Mir, Moscow (1978).
17. Yu. V. Frolov, A. N. Pivkina, and F. Kh. Varenykh, "Fractal structure and properties of combustion of heterogeneous condensed systems," in: Chemical Physics of Combustion and Explosion [in Russian], Chernogolovka (1992).
18. A. J. Katz and A. H. Thompson, "Fractal sandstone pores: implication for conductivity and pore formation," Phys. Lett., 54, 1325-1328 (1985).
19. Yu. Frolov, A. Pivkina, and B. Nickolsky, "Concentration limits of the combustion wave spreading in reactive heterogeneous systems," in: Proc. 14th Int. Pyrotechnics Seminar (UK, Jersey, Channel Island, Sept. 18-22, 1989).
20. R. Zallen, Physics of Amorphous Solids, Henry Ling, Ltd., Dorset Press, New York (1983).
21. W. Haller, "Rearrangement kinetics of the liquid-liquid immiscible microphases in alkali borosilicate melts," J. Chem. Phys., 42, 2 (1965).
22. C. F. Wenzel, Lehr von der Verwandtschaft der Korper, Dresden (1777).
23. Yu. Frolov and A. Pivkina, "Combustion of boron-containing compositions," in: Proc. 25th Int. Annual Conf. of ICT (Karlsruhe, Germany, June 28-July 1, 1994).
24. Yu. V. Frolov, A. N. Pivkina, and B. E. Nikol'skii, "Concentration limits of combustion-wave propagation in heterogeneous systems," in: Chemical Physics of Combustion and Explosion Processes [in Russian], Chernogolovka (1989).
25. Yu. V. Frolov, A. N. Pivkina, and F. Kh. Varenykh, "Fractal structure and combustion properties of a HC," in: an Xth Symposium on Combustion and Explosion (Chernogolovka, 1992), Moscow (1992).
26. Yu. Frolov and A. Pivkina, "Fractal structure and combustion characteristics of heterogeneous condensed systems," in: Proc. 23rd Int. Conf. of ICT (June 30-July 3, 1992), Karlsruhe, Germany (1992).
27. Yu. Frolov and A. Pivkina, "Combustion of heterogeneous condensed systems: influence of structure," in: Proc. Int. Conf. on Combustion (Moscow, Sept., 1994), Moscow (1994).