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Shock Structure and Temperature Overshoot in Macroscopic Model of Mixtures

In: Rational Extended Thermodynamics beyond the Monatomic Gas

Author

Listed:
  • Tommaso Ruggeri

    (University of Bologna, Dept. of Mathematics and Res. Center of Applied Mathematics AM²)

  • Masaru Sugiyama

    (Nagoya Institute of Technology, Graduate School of Engineering)

Abstract

In this chapter, we study the shock structure in a mixture on the basis of the model of multi-temperature mixtures explained in the previous Chap. 16 For simplicity, the study is restricted to weak and moderately strong shocks in a binary mixture of ideal gases without viscosity and heat conductivity. The model predicts the existence of the temperature overshoot of the heavier constituent, which was also predicted by other sophisticated approaches. This phenomenon is a consequence of weak energy exchange between the constituents, either due to large mass difference, or large rarefaction of the mixture. In the range of small Mach number, it is also shown that the shock thickness (or equivalently, the inverse of Knudsen number) decreases with the increase of the Mach number: a behavior similar to a single fluid.

Suggested Citation

  • Tommaso Ruggeri & Masaru Sugiyama, 2015. "Shock Structure and Temperature Overshoot in Macroscopic Model of Mixtures," Springer Books, in: Rational Extended Thermodynamics beyond the Monatomic Gas, edition 1, chapter 0, pages 339-349, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-13341-6_17
    DOI: 10.1007/978-3-319-13341-6_17
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