Kinetic model analysis of time-dependent problems in polyatomic gases |
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| Affiliation: | 1. Department of Mathematics, Stockholm University, SE-106 91 Stockholm, Sweden;2. James Weir Fluids Laboratory, Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glasgow G1 1XJ, United Kingdom;3. State Key Laboratory of High Temperature Gas Dynamics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland;2. INRIA Bordeaux-Sud-Ouest, Équipe-projet Bacchus, 200 avenue de la Vieille Tour, 33405 Talence Cedex, France;1. Department of Mechanical Engineering, Faculty of Engineering, Kanagawa University, Yokohama 221-8686, Japan;2. Department of Mathematics and Computer Science, University of Messina, V.le F. D''Alcontres 31, 98166 Messina, Italy;3. Department of Mathematics, University of Bologna, via Saragozza 8, 40123 Bologna, Italy;4. Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
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| Abstract: | In this work we analyze time-dependent problems like sound propagation and light scattering in dilute polyatomic gases by using a kinetic model of the Boltzmann equation that replaces the collision operator by a single relaxation-time term which is compatible with Grad's 6-moment approximation. Comparison of the theoretical results with available experimental data in nitrogen, oxygen, carbon dioxide and methane shows that the model equation can be used to describe the acoustic properties and the light scattering spectrum of polyatomic gases in both hydrodynamic and kinetic regimes as long as the external oscillation frequency is smaller than the frequency required for the translational and the internal degrees of freedom to come to thermal equilibrium. |
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