Skip to main content
SpringerLink
Log in

Discontinuous Shock Structure in a Reacting Mixture Modelled by Grad 13 Moment Approximation

  • Published:
Acta Applicandae Mathematicae Aims and scope Submit manuscript

Abstract

A preliminary analysis on the possible occurrence of sub-shocks into a gas mixture is carried out. The mixture, undergoing a reversible bimolecular reaction, is described by macroscopic equations obtained by Grad 13 moment approximation of the reactive Boltzmann equation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Bisi, M., Groppi, M., Spiga, G.: Grad’s distribution functions in the kinetic equations for a chemical reaction. Contin. Mech. Thermodyn. 14(2), 207–222 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  2. Rossani, A., Spiga, G.: A note on the kinetic theory of chemically reacting gases. Physica A 272, 563–573 (1999)

    Article  MathSciNet  Google Scholar 

  3. Currò, C., Fusco, D.: Discontinuous travelling wave solutions for a class of dissipative hyperbolic models. Atti Accad. Naz. Lincei, Rend. Lincei, Mat. Appl. 16(1), 61–71 (2005)

    MATH  Google Scholar 

  4. Boillat, G., Ruggeri, T.: On the shock structure problem for hyperbolic system of balance laws and convex entropy. Contin. Mech. Thermodyn. 10(5), 285–292 (1998)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics and Computer Science, University of Messina, V.le F. Stagno d’Alcontres 31, 98166, Messina, Italy

    Fiammetta Conforto

  2. DIST, Politecnico di Torino, V.le Mattioli 39, 10125, Torino, Italy

    Roberto Monaco

  3. Faculty of Engineering and Architecture, University KORE of Enna, Cittadella Universitaria, Via delle Olimpiadi, 94100, Enna, Italy

    Angela Ricciardello

Authors
  1. Fiammetta Conforto
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Roberto Monaco
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Angela Ricciardello
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fiammetta Conforto.

Additional information

This work is sponsored by GNFM-INdAM, University of Messina and Torino Politecnico.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Conforto, F., Monaco, R. & Ricciardello, A. Discontinuous Shock Structure in a Reacting Mixture Modelled by Grad 13 Moment Approximation. Acta Appl Math 132, 225–236 (2014). https://doi.org/10.1007/s10440-014-9938-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10440-014-9938-4

Keywords

Search

Navigation