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

References

Wylie, E. Benjamin, Victor Lyle Streeter, and Lisheng Suo. Fluid transients in systems. Vol. 1. Englewood Cliffs, NJ: Prentice Hall, 1993.

Bird, Robert Byron, Robert Calvin Armstrong, and Ole Hassager. "Dynamics of polymeric liquids. Vol. 1: Fluid mechanics." (1987).

Chhabra, Raj P., and John Francis Richardson. Non-Newtonian flow and applied rheology: engineering applications. Butterworth-Heinemann, 2011.

Pinho, F. T., and J. H. Whitelaw. "Flow of non-Newtonian fluids in a pipe." Journal of non-newtonian fluid mechanics 34, no. 2 (1990): 129-144. https://doi.org/10.1016/0377-0257(90)80015-R

Toms, Be A. "Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers." Proc. of In. Cong. On Rheology, 1948 135 (1948).

Ghidaoui, Mohamed S., Ming Zhao, Duncan A. McInnis, and David H. Axworthy. "A review of water hammer theory and practice." Appl. Mech. Rev. 58, no. 1 (2005): 49-76. https://doi.org/10.1115/1.1828050

Brunone, Bruno, Bryan W. Karney, Michele Mecarelli, and Marco Ferrante. "Velocity profiles and unsteady pipe friction in transient flow." Journal of water resources planning and management 126, no. 4 (2000): 236-244. https://doi.org/10.1061/(ASCE)0733-9496(2000)126:4(236)

Pezzinga, Giuseppe. "Quasi-2D model for unsteady flow in pipe networks." Journal of Hydraulic Engineering 125, no. 7 (1999): 676-685. https://doi.org/10.1061/(ASCE)0733-9429(1999)125:7(676)

Pezzinga, Giuseppe. "Evaluation of unsteady flow resistances by quasi-2D or 1D models." Journal of Hydraulic Engineering 126, no. 10 (2000): 778-785. https://doi.org/10.1061/(ASCE)0733-9429(2000)126:10(778)

Vardy, Alan E., and James MB Brown. "Laminar pipe flow with time-dependent viscosity." Journal of Hydroinformatics 13, no. 4 (2011): 729-740. https://doi.org/10.2166/hydro.2010.073

Wahba, E. M. "Non-Newtonian fluid hammer in elastic circular pipes: Shear-thinning and shear-thickening effects." Journal of Non-Newtonian Fluid Mechanics 198 (2013): 24-30. https://doi.org/10.1016/j.jnnfm.2013.04.007

Keramat, Alireza, A. S. Tijsseling, Qingzhi Hou, and Ahmad Ahmadi. "Fluid–structure interaction with pipe-wall viscoelasticity during water hammer." Journal of Fluids and Structures 28 (2012): 434-455. https://doi.org/10.1016/j.jfluidstructs.2011.11.001

Ahmadi, A., and A. Keramat. "Investigation of fluid–structure interaction with various types of junction coupling." Journal of fluids and structures 26, no. 7-8 (2010): 1123-1141. https://doi.org/10.1016/j.jfluidstructs.2010.08.002

Soares, Alexandre K., Dídia IC Covas, and Nelson JG Carriço. "Transient vaporous cavitation in viscoelastic pipes." Journal of Hydraulic Research 50, no. 2 (2012): 228-235. https://doi.org/10.1080/00221686.2012.669143

Hadj-Taïeb, L., and E. Hadj-Taïeb. "Numerical simulation of transient flows in viscoelastic pipes with vapour cavitation." International Journal of Modelling and Simulation 29, no. 2 (2009): 206-213. https://doi.org/10.1080/02286203.2009.11442526

Pezzinga, G., B. Brunone, D. Cannizzaro, M. Ferrante, S. Meniconi, and A. Berni. "Two-dimensional features of viscoelastic models of pipe transients." Journal of Hydraulic Engineering 140, no. 8 (2014): 04014036. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000891

Brunone, B., M. Ferrante, and M1 Cacciamani. "Decay of pressure and energy dissipation in laminar transient flow." J. Fluids Eng. 126, no. 6 (2004): 928-934. https://doi.org/10.1115/1.1839926

Kim, SangHyun. "Holistic unsteady-friction model for laminar transient flow in pipeline systems." Journal of Hydraulic Engineering 137, no. 12 (2011): 1649-1658. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000471

Meniconi, Silvia, H. F. Duan, Bruno Brunone, Mohamed Salah Ghidaoui, P. J. Lee, and Marco Ferrante. "Further developments in rapidly decelerating turbulent pipe flow modeling." Journal of hydraulic engineering 140, no. 7 (2014): 04014028. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000880

Meniconi, S., B. Brunone, M. Ferrante, and C. Massari. "Energy dissipation and pressure decay during transients in viscoelastic pipes with an in-line valve." Journal of Fluids and Structures 45 (2014): 235-249. https://doi.org/10.1016/j.jfluidstructs.2013.12.013

Wahba, E. M. "Runge–Kutta time‐stepping schemes with TVD central differencing for the water hammer equations." International journal for numerical methods in fluids 52, no. 5 (2006): 571-590. https://doi.org/10.1002/fld.1188

Majd, Ali, Ahmad Ahmadi, and Alireza Keramat. "Investigation of non-Newtonian fluid effects during transient flows in a pipeline/Preiskava vplivov nenewtonske tekocine med prehodnimi tokovi v cevovodu." Strojniski Vestnik-Journal of Mechanical Engineering 62, no. 2 (2016): 105-117. https://doi.org/10.5545/sv-jme.2015.2787

Khamoushi, Alireza, Alireza Keramat, and Ali Majd. "One-dimensional simulation of transient flows in non-Newtonian fluids." Journal of Pipeline Systems Engineering and Practice 11, no. 3 (2020): 04020019. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000454

Samion, Syahrullail, Mohamad Nor Musa, Mohd Kameil Abdul Hamid, Wan Mohamad Aiman Wan Yahya, and Eriza Paiman. "Study on Water Hammer Effect in Turbulent Flow through the Pipe System." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 50, no. 2 (2018): 122-133.

Achak, Nawal, Ouafae Rkibi, Bennasser Bahrar, and Kamal Gueraoui. "Investigation of Non-Newtonian Fluid Behavior and Coefficient of Friction in Water Hammer Phenomena." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 89, no. 1 (2022): 175-184. https://doi.org/10.37934/arfmts.89.1.175184

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Published

2022-06-26

How to Cite

Nawal Achak, Ouafae Rkibi, Bennasser Bahrar, & Kamal Gueraoui. (2022). Numerical Analysis of a Laminar Transient Flow of a Pseudo-Plastic Fluid. CFD Letters, 14(6), 17–23. https://doi.org/10.37934/cfdl.14.6.1723

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