caa a22 4500 477044182 CHVBK 20180405111326.0 cr unu---uuuuu 170330e19960101xx s 000 0 eng 10.1007/BF01992194 doi (NATIONALLICENCE)springer-10.1007/BF01992194 Fedorov A. Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut Numerical and analytical study of magnesium particle ignition [Elektronische Daten] [A. Fedorov] A model of thermal explosion and methods of elementary catastrophe theory were used to study the characteristics of a catastrophe manifold (ignition manifold) and to reveal the qualitative behavior of the solution of Cauchy's problem with variation of the bifurcational parameter. A correspondence between Semenov's critical conditions in the theory of thermal explosion and a catastrophe manifold was established. The conditions of transcendental equation solvability were investigated to determine the kinetic constants (E and K). The nonuniqueness of activation energy determination for a given preexponent was shown. A unique solution in which both of the parameters are unknown was deduced. A satisfactory decription of the ignition manifold was obtained for large and small particle radii in the framework of the general ignition criterion. It was demonstrated that as the Nusselt number and ambient temperature increase, the ignition delays calculated using the models of surrounding film and thermal explosion approach one another. Plenum Publishing Corporation, 1996 Combustion, Explosion and Shock Waves Kluwer Academic Publishers-Plenum Publishers 32/1(1996-01-01), 64-72 0010-5082 32:1<64 1996 32 10573 https://doi.org/10.1007/BF01992194 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01992194 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Fedorov A. Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut NATIONALLICENCE 773 0- Combustion, Explosion and Shock Waves Kluwer Academic Publishers-Plenum Publishers 32/1(1996-01-01), 64-72 0010-5082 32:1<64 1996 32 10573 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer