Combustion of Porous Samples with Melting and Flow of Reactants

Historical perspective and contribution of US researchers into the field of self-propagating high-temperature synthesis (SHS)/combustion synthesis (CS): Personal reflections

“…Theoretical research describing combustion front stability and bifurcation analysis was done by Matkowsky from Northwestern University, and Margolis, Armstrong and Koszykowski from Lawrence Livermore National Laboratory. Professor Matkowsky has published numerous theoretical papers on the subject of gasless and gas-solid reactions [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52]. His pioneering work with Margolis, Kaper, and Leaf on bifurcation on pulsating and spinning reactions in condensed twophase combustion belongs to very fundamental classics of combustion synthesis [39].…”

A numerical study of combustion stability in emergency oxygen generators

“…In developing the model, we incorporate experimental data on sample heat capacity, phase transition and reaction kinetics in the classic FC equations 10. Note that in systems with melt spreading, unstable front propagation frequently leads to nonuniformly distributed reaction products in the sample 8. Since this nonuniformity was not observed experimentally for oxygen generators, we account for only the thermal effect of melting.…”

“…Following this approach, combustion front stability in heterogeneous systems was analyzed for gasless combustion with or without reactant melt spreading,8, 9 as well as for FC 10. The typical assumptions in theoretical studies include the thin reaction zone approximation, small magnitude of perturbations, constant thermal conductivity and heat capacity, uniform reaction medium, and gas‐to‐solid heat transfer coefficient independent of gas flow velocity.…”

“…It is believed that further progress in the field of combustion theory will occur through computational modeling 15. Various publications present numerical simulations of combustion front stability,16 including systems with melting or other phase transitions 8, 17–19. It is widely agreed that low‐temperature reactant melting (or endothermic phase transition in a more general case) stimulates pulsations in combustion front propagation while, on the other hand, the high‐temperature melting of reaction products stabilizes the combustion wave.…”

Modeling of Condensed Phase Combustion−Decomposition Reaction with Gas Generation

“…Analysis of solid-phase combustion has been carried out by the Merzhanov school in the last four decades. − Many other authors have made individual contributions to pulsating combustion; , stability of solid-phase combustion, modeling of solid−solid combustion, and gas−solid combustion with flow. , Theoretical investigations of solid combustion have become important because of its applications in the class of technologically important reactions referred to as self-propagating high-temperature synthesis (SHS). , …”