In this paper, we propose a formal derivation of the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic gases. We use a direct extension of the model devised in [8, 16] for treating the internal energy with only one continuous parameter. This model is based on the Borgnakke-Larsen procedure [6]. We detail the dissipative terms related to the interaction between the gradients of temperature and the gradients of concentrations (Dufour and Soret effects), and present a complete explicit computation in one case when such a computation is possible, that is when all cross sections in the Boltzmann equation are constants.
On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases / Baranger, Céline; Bisi, Marzia; Brull, Stéphane; Desvillettes, Laurent. - In: KINETIC AND RELATED MODELS. - ISSN 1937-5093. - 11:4(2018), pp. 821-858. [10.3934/krm.2018033]
On the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic rarefied gases
Bisi, Marzia;
2018-01-01
Abstract
In this paper, we propose a formal derivation of the Chapman-Enskog asymptotics for a mixture of monoatomic and polyatomic gases. We use a direct extension of the model devised in [8, 16] for treating the internal energy with only one continuous parameter. This model is based on the Borgnakke-Larsen procedure [6]. We detail the dissipative terms related to the interaction between the gradients of temperature and the gradients of concentrations (Dufour and Soret effects), and present a complete explicit computation in one case when such a computation is possible, that is when all cross sections in the Boltzmann equation are constants.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
