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Non-polytropic effect on shock-induced phase transitions in a hard-sphere system |
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| Authors: | Yue Zheng Tommaso Ruggeri Shigeru Taniguchi |
| Institution: | a College of Chemistry, Sichuan University, Chengdu 610064, People's Republic of China b Department of Mathematics & Research Center of Applied Mathematics (CIRAM), University of Bologna, Italy c Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
| Abstract: | By adopting a simplified model of a non-polytropic hard-sphere system where heat capacity depends on the temperature, we demonstrate the importance of non-polytropic effect on the shock-induced phase transitions. We show explicitly that with the increase of the shock strength the perturbed temperature (the temperature after a shock) increases and the vibrational modes are gradually excited, and as a result, shock-induced phase transitions are qualitatively and quantitatively different from the phase transitions observed in a simple polytropic model. The effect on the admissibility (stability) of a shock wave is also analyzed. |
| Keywords: | Non-polytropic hard-sphere system Shock wave Shock-induced phase transition Rankine-Hugoniot relations Stability of shock waves Liu condition |
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