Numerical Analysis of a Laminar Transient Flow of a Pseudo-Plastic Fluid

Authors

  • Nawal Achak Team of Modeling and simulation of Mechanical and Energetic, Faculty of sciences, Mohammed V University, Rabat, Morocco
  • Ouafae Rkibi Team of Modeling and simulation of Mechanical and Energetic, Faculty of sciences, Mohammed V University, Rabat, Morocco
  • Bennasser Bahrar Nanostructures and Advanced Materials, Mechanics and Thermo fluids Labora-tory (NMAMTL). FST Mohammedia, Hassan II University Casablanca, Morocco
  • Kamal Gueraoui Team of Modeling and simulation of Mechanical and Energetic, Faculty of sciences, Mohammed V University, Rabat, Morocco

DOI:

https://doi.org/10.37934/cfdl.14.6.1723

Keywords:

Transient pipe flow, Non-Newtonian fluid, Viscoplastic fluid flow

Abstract

This study is devoted to a numerical modeling of a transient pseudo plastic fluid flow in an elastic pipe.  The set partial equations for both the fluid are derived from the law conservations of mass, momentum and energy for the fluid and Hooke’s law for the wall pipe. The system governing this problem is presented and then solved numerically. The non-Newtonian character behavior of the fluid s modeled by the power law. The coupled method of characteristics, finite differences and Runge Kutta are used for spatial and temporal discretization respec-tively. Some results obtained are in good agreement with those found in the literature.

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Author Biographies

Nawal Achak, Team of Modeling and simulation of Mechanical and Energetic, Faculty of sciences, Mohammed V University, Rabat, Morocco

achaknawal3@gmail.com

Ouafae Rkibi, Team of Modeling and simulation of Mechanical and Energetic, Faculty of sciences, Mohammed V University, Rabat, Morocco

ouafae.rkibi@mail.com

Bennasser Bahrar, Nanostructures and Advanced Materials, Mechanics and Thermo fluids Labora-tory (NMAMTL). FST Mohammedia, Hassan II University Casablanca, Morocco

bahrarb@yahoo.fr

Kamal Gueraoui, Team of Modeling and simulation of Mechanical and Energetic, Faculty of sciences, Mohammed V University, Rabat, Morocco

kgueraoui@yahoo.fr

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Published

2022-06-26

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