A conservative multi-group approach to the Boltzmann equations for reactive gas mixtures

M. Bisi, A. Rossani and G. Spiga

Physica A: Statistical Mechanics and its Applications, 2015, vol. 438, issue C, 603-611

Abstract: Starting from a simple kinetic model for a quaternary mixture of gases undergoing a bimolecular chemical reaction, multi-group integro-differential equations are derived for the particle distribution functions of all species. The procedure takes advantage of a suitable probabilistic formulation, based on the underlying collision frequencies and transition probabilities, of the relevant reactive kinetic equations of Boltzmann type. Owing to an appropriate choice of a sufficiently large number of weight functions, it is shown that the proposed multi-group equations are able to fulfil exactly, at any order of approximation, the correct conservation laws that must be inherited from the original kinetic equations, where speed was a continuous variable. Future developments are also discussed.

Keywords: Kinetic theory; Reactive gas mixtures; Transition probabilities; Multi-group approach (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:438:y:2015:i:c:p:603-611

DOI: 10.1016/j.physa.2015.06.021

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