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Shock Wave Structure in a Rarefied Polyatomic Gas Based on Extended Thermodynamics
Authors:Shigeru Taniguchi  Takashi Arima  Tommaso Ruggeri  Masaru Sugiyama
Institution:1. Graduate School of Engineering, Nagoya Institute of Technology, Nagoya, 466-8555, Japan
2. Department of Control and Information Systems Engineering, Kitakyushu National College of Technology, Kitakyushu, 802-0985, Japan
3. Center for Social Contribution and Collaboration, Nagoya Institute of Technology, Nagoya, 466-8555, Japan
4. Department of Mechanical Engineering, Faculty of Engineering, Kanagawa University, Yokohama, 221-8686, Japan
5. Department of Mathematics, University of Bologna, Bologna, Italy
Abstract:A theory of the shock wave structure in a rarefied polyatomic gas is developed on the basis of the recent new approach to extended thermodynamics. We summarize the following points (i) and (ii) based on the previous study on this subject and also show the new point (iii): (i) The theory can explain the change of types of the shock wave structure observed experimentally with the increase of the Mach number from unity; the nearly symmetric shock wave structure (Type A, small Mach number), the asymmetric structure (Type B, moderate Mach number), and the structure composed of thin and thick layers (Type C, large Mach number). (ii) The theoretical prediction of the mass density profile agrees well with experimental data. (iii) The points (i) and (ii) are not strongly affected by the details of the temperature dependence of the bulk viscosity.
Keywords:
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