IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v389y2010i14p2708-2718.html
   My bibliography  Save this article

On inelastic reactive collisions in kinetic theory of chemically reacting gas mixtures

Author

Listed:
  • Kremer, Gilberto M.
  • Silva, Adriano W.
  • Alves, Giselle M.

Abstract

A kinetic theory for a simple reversible reaction–characterized by a binary mixture of ideal gases whose constituents denoted by A and B undergo a reaction of the type A+A⇌B+B–is developed by considering the reactive collisions as inelastic ones. The geometry of the collision is taken into account in the line-of-centers differential cross section by allowing that a chemical reaction may occur only when the energy of the relative velocity in the direction of the line which joins the centers of the molecules at collision is larger than the activation energy. It is shown that the restitution coefficients: (i) depend explicitly on the reaction heat and on the relative translational energy in the direction of the line which joins the centers of the molecules during an inelastic collision; (ii) vanish when the reaction heat is zero; (iii) are larger or smaller than one depending on the direction of the reaction and on the sign of the reaction heat. First approximations to the distribution functions are determined from the system of Boltzmann equations for the last stage of a chemical reaction. It is shown that the deviations from the Maxwellian distribution functions and the production terms of the particle number densities: (i) vanish when the reaction heat is zero provided that the affinity is close to zero and (ii) are negative or positive depending on the sign of the reaction heat and on the direction of the reaction.

Suggested Citation

  • Kremer, Gilberto M. & Silva, Adriano W. & Alves, Giselle M., 2010. "On inelastic reactive collisions in kinetic theory of chemically reacting gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2708-2718.
  • Handle: RePEc:eee:phsmap:v:389:y:2010:i:14:p:2708-2718
    DOI: 10.1016/j.physa.2010.03.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437110002542
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2010.03.025?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Silva, Adriano W. & Alves, Giselle M. & Kremer, Gilberto M., 2008. "Enskog’s kinetic theory of dense gases for chemically reacting binary mixtures. I. Reaction rate and viscosity coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1733-1749.
    2. Silva, Adriano W. & Alves, Giselle M. & Marques, Wilson & Kremer, Gilberto M., 2009. "Enskog’s kinetic theory of dense gases for chemically reacting binary mixtures, II: Light scattering and sound propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 295-310.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Silva, Adriano W. & Alves, Giselle M. & Marques, Wilson & Kremer, Gilberto M., 2009. "Enskog’s kinetic theory of dense gases for chemically reacting binary mixtures, II: Light scattering and sound propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 295-310.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:389:y:2010:i:14:p:2708-2718. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.