Abstract
Starting from the Grad 13-moment equations for a bimolecular chemical reaction, Navier-Stokes-type equations are derived by asymptotic procedure in the limit of small mean paths. Two physical situations of slow and fast reactions, with their different hydrodynamic variables and conservation equations, are considered separately, yielding different limiting results.
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This work was performed in the frame of the activities sponsored by MIUR (Project “Mathematical Problems of Kinetic Theories”), by INdAM, by GNFM, by the University of Parma (Italy), and by the European TMR Network “Hyperbolic and Kinetic Equations: Asymptotics, Numerics, Analysis”.
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Bisi, M., Groppi, M. & Spiga, G. Fluid-dynamic equations for reacting gas mixtures. Appl Math 50, 43–62 (2005). https://doi.org/10.1007/s10492-005-0003-5
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DOI: https://doi.org/10.1007/s10492-005-0003-5