Stability of combustion in thermite systems

Dvoryankin, A. V.; Strunina, A. G.; Merzhanov, A. G.

doi:10.1007/bf01463412

Cited by 19 publications

(15 citation statements)

References 5 publications

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“…Let us compare now the numerical data with the experimental data obtained by Dvoryankin et al [25] for diluted thermite systems formed by powdered components capable of exothermal transformations and mixed up with an inert "diluent." In such systems, the "reaction cells" are pairs of contacting reactive particles, and the temperature T ign is either the melting point of the components or the temperature at which an eutectic melt is formed [24].…”

Section: Discussionmentioning

confidence: 92%

“…Neglecting heat losses, we identify the measured burning temperature with the adiabatic temperature T ad of the system. Depending on the diluent concentration in the systems, Dvoryankin et al [25] observed a steady combustion mode, or a self-sustained oscillatory mode, or a hot-spot mode.…”

Section: Discussionmentioning

confidence: 97%

“…The experimental values of activation energy [25] are compared with the corresponding calculated dependence (22) in Fig. 9.…”

Section: Discussionmentioning

confidence: 99%

“…In such systems, the "reaction cells" are pairs of contacting reactive particles, and the temperature T ign is either the melting point of the components or the temperature at which an eutectic melt is formed [24]. Though the reaction cells in the systems examined in [25] cannot be rigorously considered as thermally insulated combustible points, let us analyze the results of [25] from the viewpoint of the theory developed. For several thermite systems with different contents of the diluent, Dvoryankin et al [25] give the values of the burning rate, burning temperature, and activation energy determined from the sensitivity of the burning rate to the initial temperature.…”

Section: Discussionmentioning

confidence: 99%

“…Though the reaction cells in the systems examined in [25] cannot be rigorously considered as thermally insulated combustible points, let us analyze the results of [25] from the viewpoint of the theory developed. For several thermite systems with different contents of the diluent, Dvoryankin et al [25] give the values of the burning rate, burning temperature, and activation energy determined from the sensitivity of the burning rate to the initial temperature. Neglecting heat losses, we identify the measured burning temperature with the adiabatic temperature T ad of the system.…”

Section: Discussionmentioning

confidence: 99%

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Hot-spot combustion of heterogeneous condensed mixtures. Thermal percolation

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2005

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A model of combustion of heterogeneous condensed mixtures composed of reactive particles separated by an inert heat-conducting substance is considered. Propagation of the reaction in a one-dimensional periodic system of point reaction cells connected by inert thermal bridges is examined. The burning rate is determined as a function of the basic parameters of the system, and stability of the steady combustion mode is studied. It is shown that there exists a range of parameters in which the reaction propagates in an unstable manner. Combustion of the system in the instability domain is examined. It is shown that the reaction propagation loses its stability many times as the adiabatic temperature of the system decreases; in this case, the existing unsteady mode is replaced by another, more complicated mode, and the alteration of the regimes in the examined systems always proceeds as a period-doubling bifurcation. Beginning from a certain value of adiabatic temperature, the reactionpropagation process becomes stochastic. In the systems examined, there exists an ultimate adiabatic temperature, below which self-sustained propagation of the reaction in the system becomes impossible.

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Section: Discussionmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 97%

“…The experimental values of activation energy [25] are compared with the corresponding calculated dependence (22) in Fig. 9.…”

Section: Discussionmentioning

confidence: 99%