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Multicomponent Flow Modeling pp 59–95Cite as

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Derivation from the Kinetic Theory

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Abstract

In this chapter, we summarize the derivation of multicomponent reactive flow equations from the kinetic theory of gases. This derivation can be found in numerous textbooks, usually for monatomic species mixtures and/or inert species. In this chapter, we consider the general case of dilute polyatomic reactive gas mixtures. We refer the reader, however, to classical textbooks on kinetic theory [CC70] [FK72] [Mal90] [Mal91] for detailed comments or intermediate calculations since we only give here a brief description. In addition, mathematical aspects of Boltzmann-type equations are out of the scope of this book, and we refer the reader to [Cer88], [DL89], [Gru93], [CIP94], [GG95], and [GM97].

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  1. Centre de Mathématiques Appliquées, École Polytechnique, 91128, Palaiseau Cedex, France

    Vincent Giovangigli

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  1. Vincent Giovangigli
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© 1999 Springer Science+Business Media New York

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Giovangigli, V. (1999). Derivation from the Kinetic Theory. In: Multicomponent Flow Modeling. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1580-6_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1580-6_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7202-1

  • Online ISBN: 978-1-4612-1580-6

  • eBook Packages: Springer Book Archive

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