Steady detonation waves via the Boltzmann equation for a reacting mixture

A Bhatnagar–Gross–Krook kinetic approach to fast reactive mixtures: Relaxation problems

“…Here ν 12 34 denotes the microscopic collision frequency for (3,4) reactive encounters, as given by (10), constant on its support g 2 > 2A/µ 34 . If activation energy can be neglected (A = 0) we would have simply ν chem 3 = ν 12 34 n 4 , ν chem 4 = ν 12 34 n 3 , irrespective of the actual shape of the functions f 3 and f 4 .…”

“…Deterministic calculations for bimolecular reactions have been performed at various levels [9,10]. However, since kinetic equations are in general quite complex to deal with, simpler models are typically introduced for them, and the most popular and widely used are probably the so called BGK approximations [11,12].…”

Diatomic gas diffusing in a background medium: kinetic approach and reaction-diffusion equations

“…We quote, for instance, and among many others, the books [9, 5] and references therein, and some recent contributions [6,10,8,20,15,12]. Most of the literature on the subject deals with bimolecular reversible or irreversible reactions, which exclude some very important and common reactive processes, like reactions of dissociation and recombination, one of the essential ingredients characterizing diatomic gases in the air.…”

Euler closure of the Boltzmann equations for resonant bimolecular reactions

“…2 On the other hand, such an approach is essential for an accurate modelling in view of practical applications. [3][4][5] In recent years, a bimolecular chemical reaction has been dealt with starting from the kinetic model proposed in Ref. 6 and extended in Ref.…”