Shock structure and entropy growth in a gaseous binary mixture with viscous and thermal dissipation. (English) Zbl 1524.76348
Summary: The multi-temperature model of binary mixture, developed within the framework of extended thermodynamics, is enhanced with viscous and thermal dissipation. The shock structure problem is analyzed for the influence of dissipation on the shock thickness, influence of Mach number on the thickness and temperature in viscous profiles, and influence of the mass ratio on the profiles of state variables. The growth of entropy density is studied and compared with generalized Grad’s entropy density. A new phenomenon of entropy decrease in the upstream part of the profile is observed, caused by intensive thermal dissipation. The entropy production rate is studied and it is observed that its major part comes from thermal dissipation.
MSC:
| 76N15 | Gas dynamics (general theory) |
| 35Q35 | PDEs in connection with fluid mechanics |
| 76L05 | Shock waves and blast waves in fluid mechanics |
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