Abstract
Starting from a kinetic Boltzmann or BGK description of a polyatomic gas, on the basis of a discrete structure of internal energy levels, an asymptotic Chapman–Enskog analysis is performed in the continuum limit in order to achieve consistent fluid-dynamic Navier–Stokes equations for the macroscopic fields. Among the various transport coefficients, emphasis is given to the dynamical pressure, which characterizes molecules with non-translational degrees of freedom, and which vanishes in the mono-atomic limit.
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Acknowledgments
This work has been performed in the frame of activities sponsored by INdAM-GNFM and by the University of Parma, and has been partially supported also by the French-Italian program Galileo, project G14-34, “Kinetic modelling and numerical simulations of reactive gaseous mixtures and plasmas for nuclear fusion”. Some of the results contained in this paper have been presented in the conference WASCOM 2015. Subsequent fruitful discussions with professor T. Ruggeri are gratefully acknowledged.
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Bisi, M., Spiga, G. On kinetic models for polyatomic gases and their hydrodynamic limits. Ricerche mat 66, 113–124 (2017). https://doi.org/10.1007/s11587-016-0289-5
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DOI: https://doi.org/10.1007/s11587-016-0289-5