IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4614-7828-7_16.html
   My bibliography  Save this book chapter

Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation

In: Integral Methods in Science and Engineering

Author

Listed:
  • R. S. Mansur

    (University of the State of Rio de Janeiro, Programa de Pós-graduação em Ciências Computacionais)

  • R. C. Barros

    (University of the State of Rio de Janeiro, Programa de Pós-graduação em Ciências Computacionais)

Abstract

The migration of neutrons inside material media with the probabilities of interactions of the neutrons with the atom nuclei of the media can be mathematically modeled by the first order form of the phase-space neutron transport equation. In this work we describe a synthetic method to solve analytically a simplified model of the one-speed slab-geometry neutron transport equation. In the present synthetic method, the simplifying physical assumption is the neutron diffusion theory, which is an accurate approximation for low absorbing media, away from structural boundaries and from localized fixed sources, where the neutron flux become highly anisotropic. Numerical results are given to illustrate the efficiency of the developed code.

Suggested Citation

  • R. S. Mansur & R. C. Barros, 2013. "Analytical Reconstruction of Monoenergetic Neutron Angular Flux in Non-multiplying Slabs Using Diffusion Synthetic Approximation," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Haroldo F. de Campos Velho (ed.), Integral Methods in Science and Engineering, edition 127, chapter 0, pages 217-227, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7828-7_16
    DOI: 10.1007/978-1-4614-7828-7_16
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:spr:sprchp:978-1-4614-7828-7_16. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.