Book•
The Mathematical Theory of Combustion and Explosions
01 Jan 1985-
TL;DR: In this paper, various topics in the area of combustion and explosives are discussed, including basic physical concepts of the science of combustion, the time-independent theory of thermal explosions, time-dependent statement of the problem of the initiation of chemical reaction waves in fuel mixtures, laminar flames, complex and chain reactions in flames, the gas dynamics of combustion dynamics, and diffusional combustion of gases.
Abstract: Various topics in the area of combustion and explosives are discussed. The general subjects considered include: basic physical concepts of the science of combustion, the time-independent theory of thermal explosions, time-dependent statement of the problem of the initiation of chemical reaction waves in fuel mixtures, laminar flames, complex and chain reactions in flames, the gas dynamics of combustion, and diffusional combustion of gases. 561 references.
Citations
More filters
TL;DR: In this article, the mechanisms and rate parameters for the gas-phase reactions of nitrogen compounds that are applicable to combustion-generated air pollution are discussed and illustrated by comparison of results from detailed kinetics calculations with experimental data.
2,843 citations
TL;DR: In this article, calibrated light curves of type Ia supernovae have become a major tool to determine the local expansion rate of the universe and also its geometrical structure, considerable atte
Abstract: ▪ Abstract Because calibrated light curves of type Ia supernovae have become a major tool to determine the local expansion rate of the universe and also its geometrical structure, considerable atte...
1,203 citations
21 Oct 1994
TL;DR: In this article, the authors present a wave propagation model for combustion problems and asymptotics of the speed of combustion waves with complex kinetics, as well as approximate analytical methods in combustion problems.
Abstract: Part I. Stationary waves: Scalar equation Leray-Schauder degree Existence of waves Structure of the spectrum Stability and approach to a wave Part II. Bifurcation of waves: Bifurcation of nonstationary modes of wave propagation Mathematical proofs Part III. Waves in chemical kinetics and combustion: Waves in chemical kinetics Combustion waves with complex kinetics Estimates and asymptotics of the speed of combustion waves Asymptotic and approximate analytical methods in combustion problems (supplement) Bibliography.
880 citations
TL;DR: In this paper, the authors present an introductory review of the problem of front propagation into unstable states, which is centered around the concept of the asymptotic linear spreading velocity v ∗, the rate with which initially localized perturbations spread into an unstable state according to the linear dynamical equations obtained by linearizing the fully nonlinear equations about the unstable state.
778 citations
TL;DR: In this article, the effect of temperature on the mass burning rate of a spherically expanding flame propagating at constant pressure and the effect by the associated Markstein lengths was investigated.
711 citations