IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v26y2015i10ns0129183115501193.html
   My bibliography  Save this article

Non-Markovian model for the study of pitting corrosion in a water pipe system

Author

Listed:
  • A. C. P. Rosa

    (Programa de Modelagem Computacional, SENAI Cimatec, Salvador, Bahia, Brazil;
    Universidade Federal do Oeste da Bahia, Barreiras, Bahia, Brazil)

  • P. Vaveliuk

    (Programa de Modelagem Computacional, SENAI Cimatec, Salvador, Bahia, Brazil;
    Centro de Investigaciones Ópticas (CIOp), CONICET, CICBA La Plata, Argentina)

  • M. A. Moret

    (Programa de Modelagem Computacional, SENAI Cimatec, Salvador, Bahia, Brazil;
    Universidade do Estado da Bahia, Salvador, Bahia, Brazil)

Abstract

The main studies on pitting consist in proposing Markovian stochastic models, based on the statistics of extreme values and focused on growing the depth of wells, especially the deepest one. We show that a non-Markovian model, described by a nonlinear Fokker–Planck (nFP) equation, properly depicts the time evolution of a distribution of depth values of pits that were experimentally obtained. The solution of this equation in a steady-state regime is aq-Gaussian distribution, i.e. a long-tail probability distribution that is the main characteristic of a nonextensive statistical mechanics. The proposed model, that is applied to data from four inspections conducted on a section of a line of regular water service in power water reactor (PWR) nuclear power plants, is in agreement with experimental results.

Suggested Citation

  • A. C. P. Rosa & P. Vaveliuk & M. A. Moret, 2015. "Non-Markovian model for the study of pitting corrosion in a water pipe system," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(10), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:10:n:s0129183115501193
    DOI: 10.1142/S0129183115501193
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183115501193
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183115501193?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.

    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:wsi:ijmpcx:v:26:y:2015:i:10:n:s0129183115501193. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    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.