Volume 7, Issue 2, March 2018, Page: 75-86
Geometrical and Experimental Conditions for the Homogeneous and Inhomogeneous Flows of the Polyethylene Oxide Solution in the Cylinder of Couette
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; Department of Mechanic, Sciences and Technologies Faculty, Polytechnic University of Mongo, Mongo, Chad
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
Received: Jan. 9, 2018;       Accepted: Jan. 19, 2018;       Published: Feb. 23, 2018
DOI: 10.11648/j.ajmp.20180702.13      View  1618      Downloads  71
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.
Keywords
Couette Flow, Rheological Behavior, Shear Stress, Shear Rat
To cite this article
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, American Journal of Modern Physics. Vol. 7, No. 2, 2018, pp. 75-86. doi: 10.11648/j.ajmp.20180702.13
Copyright
Copyright © 2018 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Reference
[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.
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