Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette

Ngargoto Ngarmoundou; El Hadji Oumar Gueye; Mahamat Barka; Aboubaker Chedikh Beye

doi:doi:10.11648/j.ajmp.20180702.13

| Peer-Reviewed

Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette

Ngargoto Ngarmoundou, El Hadji Oumar Gueye, Mahamat Barka, Aboubaker Chedikh Beye

Published in American Journal of Modern Physics (Volume 7, Issue 2)

Received: 9 January 2018 Accepted: 19 January 2018 Published: 23 February 2018

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

A simple method for characterizing the flow curve of a polymer solution (PEO) in shear in Couette geometry is developed. It consists in considering a priori the fluid in Newtonian flow with the assumptions related to the influence of the rheological and geometrical parameters, then to evaluate the shearing speed characteristic of this partially and/or totally sheared material. The results obtained by the numerical simulations in 2D and in 3D in this flow configuration allow to find a heterogeneity of rheological behavior related to the properties of the fluid on the one hand and on the other hand, to size the Couette geometry while fixing explicitly the experimental conditions according to whether the fluid is Newtonian or not Newtonian.

Published in	American Journal of Modern Physics (Volume 7, Issue 2)
DOI	10.11648/j.ajmp.20180702.13
Page(s)	75-86
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Couette Flow, Rheological Behavior, Shear Stress, Shear Rat

References

[1]	G. Ovarlez, S. Rodts, X. Chateau and P. Coussot (2009). Phenomenology and physical origin of shear-localization and shear-banding in complex fluids, Rheol. Acta, 48, 831–844.
[2]	E Guyon, J. P. Hulin and L Petit. (2001). Hydrodynamic physics. EDP Sciences/CNRS Editions, Paris.
[3]	G. Couarraze and J L Grossior. (2000). Initiation of rheology. 3rd edition. Lavoisier, Cachan Cedex-France.
[4]	C. Ancey (2005). Solving the Couette inverse problem using a wavelet-vaguelette decomposition. J. Rheology, 49, (2), 441-460.
[5]	N. Ngarmoundou, R. G. Ousman, B. Mahamat and A. C. Beye. (2017). Flow curves in the centered cylindrical Couette geometry of polyethylene oxide solution. polyethylene oxide solution. Open Journal of Fluids Dynamics, 7, (4), 673-695.
[6]	J. F. Berret. (2006), Rhéology of worwlike micelles: equilibrium properties and shear-banding transitions. Molecular Gels, 6, 667-720.
[7]	G. Porte, J. F. Berret and J. J. Harden. (1997). Inhomogenous flows of complex fluids:Méchanical instability versus non equilibrium phase transition. Europ. Phys. Journal E, 7, 459-472.
[8]	N. A. Spenley, M. E. Cates and T. C. Meleiah, (1993). Nonlinear rheology of wormlikes micelles, Phys. Rev. Lett., 71, (6), 939-942.
[9]	Huang, N. (2005). Rheology of the granular pastes. Thesis of Doctorate of the University Paris 6-Physics of the liquids.
[10]	Fall, A. (2008). Rhéophysique of the complex fluids: Flow and Blocking of concentrated suspensions. Thesis of Doctorate of the University of Paris 7 macroscopic physics.
[11]	Berret, J. F (2006). Rhéology of worwlike micelles: equilibrium properties and shear-banding transitions. Molecular Gels, 6, 667-720,
[12]	Porte, G., Berret, J. F. Harden, J. (1997). Inhomogenous flows of complex fluids: Méchanical instability versus non equilibrium phase transition. Europ. Phys. [E-Journal], 7, 459-472.
[13]	Spenley, N. A., Cates, M. E., Meleiah, T. C. (1993). Nonlinear rheology of wormlikes micelles. Phys. Rev. Lett., 71(6): 939-942.
[14]	Bruneau, C H., Gay, C, Hake, T. (2010). Bands of shearing in a continuous model of foam or concentrated emulsion: How a homogeneous material with 3d can seem inhomogenous with 2d.
[15]	Koblan, W. E., Abdel B., Karim B. Use of the model for the rheological characterization of polymer solutions. Discussion of parameters, 44th Annual Colloquium of the French Group of Rheology, Strasbourg 4, 5 and 6 November 2009.
[16]	Riahi, M., Ouazzani, T., Skali Lami, S. (2017). Rheological characterization of an aqueous solution of Polyethylene-Oxide in different concentrations, 13th Congress of Mechanics, Meknes-Morocco from 11 to 14 April 2017.
[17]	Barnes, H. A. (1999). The yield stress-a review or 'παυτα ρει'--everything flow. Journal of Non-Newtonian Fluids Mechanics. 81, 133-178.
[18]	Cheng, D. C-H. (1985). Yield stress, a time dependant property and how to measure it. Rheologica Acta, 25, 542-554.
[19]	Picard, G. (2004). Heterogeneity of the flow of the threshold fluid: phenomenological approach and elastoplastic modeling, PhD thesis. University of Paris VII. Denis-Dederot.
[20]	Schurz, J. (1990). The yield stress – an ampirical reality. Rheological Acta, 29. 170-171.
[21]	Perge, C., Fardina, M. A., Divouxb, T., Taberleta, N., Mannevillea, S. (2013). Complex fluids under shear: some instabilities with nul Reynolds number, 21st French Congress of Mechanics Bordeaux, 26 to 30 August 2013.
[22]	Lami, S., Leclerc, S., Mathieu, J., Quezennec, C., Guerrin, D. (2015). Rheology and suspension flow of nano-fiber cellulose fibers MRI investigation in a Couette device, 12th Mechanics Congress, Casablanca-Morocco from 21-24 April 2015.
[23]	Rigal, C. (2012). Behavior of c omplex fluids under flow: Experimental approach by nuclear magnetic resonance and optical technique and numerical simulations, Thesis of the University of Lorraine, Mechanics and Energetics.

Cite This Article

Plain Text BibTeX RIS

APA Style

Ngargoto Ngarmoundou, El Hadji Oumar Gueye, Mahamat Barka, Aboubaker Chedikh Beye. (2018). Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette. American Journal of Modern Physics, 7(2), 75-86. https://doi.org/10.11648/j.ajmp.20180702.13

Copy | Download

ACS Style

Ngargoto Ngarmoundou; El Hadji Oumar Gueye; Mahamat Barka; Aboubaker Chedikh Beye. Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette. Am. J. Mod. Phys. 2018, 7(2), 75-86. doi: 10.11648/j.ajmp.20180702.13

Copy | Download

AMA Style

Ngargoto Ngarmoundou, El Hadji Oumar Gueye, Mahamat Barka, Aboubaker Chedikh Beye. Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette. Am J Mod Phys. 2018;7(2):75-86. doi: 10.11648/j.ajmp.20180702.13

Copy | Download

@article{10.11648/j.ajmp.20180702.13,
  author = {Ngargoto Ngarmoundou and El Hadji Oumar Gueye and Mahamat Barka and Aboubaker Chedikh Beye},
  title = {Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette},
  journal = {American Journal of Modern Physics},
  volume = {7},
  number = {2},
  pages = {75-86},
  doi = {10.11648/j.ajmp.20180702.13},
  url = {https://doi.org/10.11648/j.ajmp.20180702.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180702.13},
  abstract = {A simple method for characterizing the flow curve of a polymer solution (PEO) in shear in Couette geometry is developed. It consists in considering a priori the fluid in Newtonian flow with the assumptions related to the influence of the rheological and geometrical parameters, then to evaluate the shearing speed characteristic of this partially and/or totally sheared material. The results obtained by the numerical simulations in 2D and in 3D in this flow configuration allow to find a heterogeneity of rheological behavior related to the properties of the fluid on the one hand and on the other hand, to size the Couette geometry while fixing explicitly the experimental conditions according to whether the fluid is Newtonian or not Newtonian.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette
AU  - Ngargoto Ngarmoundou
AU  - El Hadji Oumar Gueye
AU  - Mahamat Barka
AU  - Aboubaker Chedikh Beye
Y1  - 2018/02/23
PY  - 2018
N1  - https://doi.org/10.11648/j.ajmp.20180702.13
DO  - 10.11648/j.ajmp.20180702.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 75
EP  - 86
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20180702.13
AB  - A simple method for characterizing the flow curve of a polymer solution (PEO) in shear in Couette geometry is developed. It consists in considering a priori the fluid in Newtonian flow with the assumptions related to the influence of the rheological and geometrical parameters, then to evaluate the shearing speed characteristic of this partially and/or totally sheared material. The results obtained by the numerical simulations in 2D and in 3D in this flow configuration allow to find a heterogeneity of rheological behavior related to the properties of the fluid on the one hand and on the other hand, to size the Couette geometry while fixing explicitly the experimental conditions according to whether the fluid is Newtonian or not Newtonian.
VL  - 7
IS  - 2
ER  -

Copy | Download

Author Information

Ngargoto Ngarmoundou

Group Laboratories of Physics Solid State and Sciences of Materials, Département of Physics, Faculty of Science and Technics, University Cheikh Anta Diop of Dakar, Dakar, Senegal
El Hadji Oumar Gueye

Group Laboratories of Physics Solid State and Sciences of Materials, Département of Physics, Faculty of Science and Technics, University Cheikh Anta Diop of Dakar, Dakar, Senegal
Mahamat Barka

Department of Physical Sciences, Faculty of Exact and Applied Sciences, University of N'Djamena, N’Djaména, Chad
Aboubaker Chedikh Beye

Group Laboratories of Physics Solid State and Sciences of Materials, Département of Physics, Faculty of Science and Technics, University Cheikh Anta Diop of Dakar, Dakar, Senegal

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Ngargoto Ngarmoundou, El Hadji Oumar Gueye, Mahamat Barka, Aboubaker Chedikh Beye. (2018). Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette. American Journal of Modern Physics, 7(2), 75-86. https://doi.org/10.11648/j.ajmp.20180702.13

Copy | Download

ACS Style

Ngargoto Ngarmoundou; El Hadji Oumar Gueye; Mahamat Barka; Aboubaker Chedikh Beye. Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette. Am. J. Mod. Phys. 2018, 7(2), 75-86. doi: 10.11648/j.ajmp.20180702.13

Copy | Download

AMA Style

Ngargoto Ngarmoundou, El Hadji Oumar Gueye, Mahamat Barka, Aboubaker Chedikh Beye. Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette. Am J Mod Phys. 2018;7(2):75-86. doi: 10.11648/j.ajmp.20180702.13

Copy | Download

@article{10.11648/j.ajmp.20180702.13,
  author = {Ngargoto Ngarmoundou and El Hadji Oumar Gueye and Mahamat Barka and Aboubaker Chedikh Beye},
  title = {Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette},
  journal = {American Journal of Modern Physics},
  volume = {7},
  number = {2},
  pages = {75-86},
  doi = {10.11648/j.ajmp.20180702.13},
  url = {https://doi.org/10.11648/j.ajmp.20180702.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20180702.13},
  abstract = {A simple method for characterizing the flow curve of a polymer solution (PEO) in shear in Couette geometry is developed. It consists in considering a priori the fluid in Newtonian flow with the assumptions related to the influence of the rheological and geometrical parameters, then to evaluate the shearing speed characteristic of this partially and/or totally sheared material. The results obtained by the numerical simulations in 2D and in 3D in this flow configuration allow to find a heterogeneity of rheological behavior related to the properties of the fluid on the one hand and on the other hand, to size the Couette geometry while fixing explicitly the experimental conditions according to whether the fluid is Newtonian or not Newtonian.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette
AU  - Ngargoto Ngarmoundou
AU  - El Hadji Oumar Gueye
AU  - Mahamat Barka
AU  - Aboubaker Chedikh Beye
Y1  - 2018/02/23
PY  - 2018
N1  - https://doi.org/10.11648/j.ajmp.20180702.13
DO  - 10.11648/j.ajmp.20180702.13
T2  - American Journal of Modern Physics
JF  - American Journal of Modern Physics
JO  - American Journal of Modern Physics
SP  - 75
EP  - 86
PB  - Science Publishing Group
SN  - 2326-8891
UR  - https://doi.org/10.11648/j.ajmp.20180702.13
AB  - A simple method for characterizing the flow curve of a polymer solution (PEO) in shear in Couette geometry is developed. It consists in considering a priori the fluid in Newtonian flow with the assumptions related to the influence of the rheological and geometrical parameters, then to evaluate the shearing speed characteristic of this partially and/or totally sheared material. The results obtained by the numerical simulations in 2D and in 3D in this flow configuration allow to find a heterogeneity of rheological behavior related to the properties of the fluid on the one hand and on the other hand, to size the Couette geometry while fixing explicitly the experimental conditions according to whether the fluid is Newtonian or not Newtonian.
VL  - 7
IS  - 2
ER  -

Copy | Download