In this paper we propose a BGK-type procedure which is applied to the full Boltzmann equation extended to a mixture of four gases undergoing a reversible bimolecular reaction. Based on a suitable modelling of the reactive cross sections, the kinetic equations are obtained in an approximated form preserving conservation laws. A numerical simulation, showing the influence of elastic collisions and reactive interactions, is proposed in order to test the trend to equilibrium of the model.

A BGK-type model for a gas mixture with reversible reactions / Monaco, Roberto; Pandolfi, Miriam. - (2004), pp. 107-120. (Intervento presentato al convegno International Meeting New Trends in Mathematical Physics : in honor of the Salvatore Rionero 70th birthday tenutosi a Naples (ITA) nel 24-25 January 2003) [10.1142/9789812702319_0011].

A BGK-type model for a gas mixture with reversible reactions

MONACO, Roberto;PANDOLFI, Miriam
2004

Abstract

In this paper we propose a BGK-type procedure which is applied to the full Boltzmann equation extended to a mixture of four gases undergoing a reversible bimolecular reaction. Based on a suitable modelling of the reactive cross sections, the kinetic equations are obtained in an approximated form preserving conservation laws. A numerical simulation, showing the influence of elastic collisions and reactive interactions, is proposed in order to test the trend to equilibrium of the model.
2004
9789812560773
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1395917
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