| Rheology of particulate suspensions in a Poiseuille flow. | |
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MedLine Citation:
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PMID: 20866904 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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Particulate dense suspensions behave as complex fluids. They do not lend themselves easily to analytical solution. We propose an analytical model to mimic this problem. Namely, we consider arrays of long parallel plates which represent a simplification of arrays of chains of spherical particles. This simplified model can be solved analytically. The effect of effective rotation of the spherical particles is taken into account by attributing different velocities on each side of the plate that mimics the fact that particles are subject to shear. This work is an extension of a previous study where particle rotation was disregarded. The flow rate, the dissipation and the apparent viscosity are studied as a function of the underlying structure. For a single plate placed out of the flow center, the viscosity is lower when rotation is taken into account. For two plates, the minimal viscosity corresponds to the situation where the particles are as close as possible to the center and arranged symmetrically with respect to the center. We compute the rheological properties for arbitrary plate positions, and exploit them for a periodic arrangement. For N plates, and in a confined geometry, the viscosity is about twice as small as compared to the situation where rotation is ignored. We have conducted a numerical study of a suspension of spherical particles, and linear chains of spherical particles. The numerical study is in good qualitative and semiquantitative agreement with the analytical theory considering long plates. This agreement highlights the fact that our analytical model captures the essential features of a real suspension. The numerical study is based on a fluid dynamic particle method where the particles are represented by a scalar field having high viscosity inside. |
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Authors:
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H Mansouri; N Tahiri; H Ez-Zahraouy; A Benyoussef; P Peyla; C Misbah |
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Publication Detail:
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Type: Journal Article Date: 2010-08-12 |
Journal Detail:
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Title: Physical review. E, Statistical, nonlinear, and soft matter physics Volume: 82 ISSN: 1550-2376 ISO Abbreviation: Phys Rev E Stat Nonlin Soft Matter Phys Publication Date: 2010 Aug |
Date Detail:
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Created Date: 2010-09-27 Completed Date: 2011-01-11 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 101136452 Medline TA: Phys Rev E Stat Nonlin Soft Matter Phys Country: United States |
Other Details:
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Languages: eng Pagination: 026306 Citation Subset: - |
Affiliation:
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Faculté des Sciences, Université Mohammed V, Avenue Ibn Battouta, Rabat B.P. 1014, Morocco. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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