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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
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