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Moment Equations for Polyatomic Gases

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Abstract

The aim of this paper is to analyze the moment equations for polyatomic gases whose internal degrees of freedom are modeled by a continuous internal energy function. The closure problem is resolved using the maximum entropy principle. The macroscopic equations are divided in two hierarchies—“momentum” and “energy” one. As an example, the system of 14 moments equations is studied. The main new result is determination of the production terms which contain two parameters. They can be adapted to fit the expected values of Prandtl number and/or temperature dependence of the viscosity. The ratios of relaxation times are also discussed.

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Authors and Affiliations

  1. Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia

    Milana Pavić-Čolić

  2. CMLA, ENS Cachan, Cachan, France

    Milana Pavić-Čolić

  3. Department of Mechanics, University of Novi Sad, Novi Sad, Serbia

    Srboljub Simić

Authors
  1. Milana Pavić-Čolić
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  2. Srboljub Simić
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Correspondence to Srboljub Simić.

Additional information

This work was supported by the Ministry of Education, Science and Technological Development, Republic of Serbia, within the project “Mechanics of nonlinear and dissipative systems—contemporary models, analysis and applications”, Project No. ON174016.

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Pavić-Čolić, M., Simić, S. Moment Equations for Polyatomic Gases. Acta Appl Math 132, 469–482 (2014). https://doi.org/10.1007/s10440-014-9928-6

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  • DOI: https://doi.org/10.1007/s10440-014-9928-6

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