Modeling of Condensed Phase Combustion−Decomposition Reaction with Gas Generation

Abstract

A one-dimensional model of condensed phase exothermic combustion with gas generation is developed. The numerical calculations show that the constant pattern propagation regime moves to higher values of the dimensionless heat of reaction γ and the dimensionless activation energy β in comparison with gasless combustion. The propagation velocity increases due to the temperature overshoot. The effects caused by heat loss, variable thermal conductivity and temperature overshoot due to gas generation, are discussed. The changes introduced by gas generation deteriorate combustion stability. The model can be used to assist in design of so-called “oxygen generation devices”.

Approximate analytical solutions for steady-state nonisothermal convection–diffusion–reaction in a slab

“…Their applications include ore reduction and catalyst deactivation [1], separation and purification [2], car airbags [3,4], emergency oxygen generation [5], ceramic, semiconductor and abrasive materials [6], energy resource applications [7,8], underground coal gasification and many others. Reactions introduce a great deal of complexity and nonlinearity to systems.…”

“…This class of reactions is mostly treated numerically. In this class of work, Dudukovic and Lamba [10], Ramachandran and Doraiswamy [11], Hiskakis and Hanratty [8], Rajaiah et al [12], Dandekar et al [6,13], Cao et al [14] and Wang et al [5] can be mentioned. In the majority of these works, techniques, such as integral and coordinate transformations, and more specific techniques, such as the maximum principle [14], have been used to reduce the degree of complexity of partial differential equations and convert them to ordinary ones.…”

“…In the majority of these works, techniques, such as integral and coordinate transformations, and more specific techniques, such as the maximum principle [14], have been used to reduce the degree of complexity of partial differential equations and convert them to ordinary ones. By inspecting the resultant equations, various criteria have been obtained for predicting the behavior of systems and influential parameters, such as criteria for the shape of the reaction front, parameters that result in instability, and reaction front velocity [2,5,6,10,12,13]. This type of simplification is usually followed by numerical studies.…”