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Kinetic description of polyatomic gases with temperature-dependent specific heats

Milana Pavić-Čolić* and Srboljub Simić†

  • Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovića 4, 21000 Novi Sad, Serbia

  • *milana.pavic@dmi.uns.ac.rs
  • †ssimic@uns.ac.rs
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Phys. Rev. Fluids 7, 083401 – Published 17 August, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.083401

Abstract

In this paper we propose a Boltzmann collision operator in the continuous internal energy setting that describes polyatomic gases with temperature-dependent specific heats or thermally perfect (nonpolytropic) gases. We adopt the assumption, already presented in the Bhatnagar-Gross-Krook setup, of letting molecular internal degrees of freedom be temperature dependent and provide a method to determine its explicit dependence upon temperature from the given experimental data. We then focus on a macroscopic system of 14 moments in the nonpolytropic setting. Computation of production terms allows us to express the transport coefficients—bulk and shear viscosities and thermal conductivity—in terms of parameters from the collisional cross section. The values of these parameters are fitted to match the experimental data for Prandtl number in a certain temperature range. This led to improvement of the estimate obtained by the Eucken formula and allowed computation of the dynamic pressure relaxation time or equivalently the bulk viscosity and comparison with its estimates in the literature.

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Outline

Information

Phys. Rev. Fluids 7, 083401– Published 17 August, 2022
  • Received 4 April 2022
  • Accepted 1 August 2022
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