Approximate critical conditions for a thermal explosion problem is developed for a two-step
reactions based on theories of Semenov and Frank-Kamenetskii. The aim is to examine the …

A relatively simple method is employed to derive upper and lower bounds of the critical
values of the Frank-Kamenetzki parameter, which represent a critical condition for the so …

Previous analyses of thermal explosion in combustible gas mixtures containing fuel droplets
are extended to permit a more general temperature dependence of reaction rate for most …

The rigorously defined criticality condition established by the authors is applied to the
Arrhenius model. The dependence of the critical temperature θ∗ on both the ambient …

The behavior of systems with exothermic chemical reaction has been studied by many
investigators and now the thermal explosion theory is well established [1, 2]. The critical …

A new criterion for thermal explosion in exothermically reacting systems for the case of
arbitrary one-step conversions is proposed. The computation method is based on the …

Theoretical equations of critical thermal explosion and runaway in a non-isothermal reactor
without chemical consumption were derived. The critical ignition, extinction and transition …

New definitions for the criticality conditions of the thermal explosion problem are founded on
the mathematical behavior of the governing equations. The paper deals with uniform …

The thermal explosion problem with reactant consumption is investigated. A direct solution
for the problem using a marching Taylor series expansion was obtained. The derivatives in …

The definition and determination of the critical conditions for thermal ignition in materials
which are undergoing an exothermic reaction are described, using the steady-state theory …