Sphere settling in an aging yield stress fluid: link between the induced flows and the rheological behavior
The flow pattern induced by the settling of a non-Brownian sphere in a fluid depends on the rheological properties of that fluid. For instance, at small Reynolds numbers, the pattern presents a fore–aft symmetry in a Newtonian fluid, whereas, in some viscoelastic polymer solutions, it can exhibit a...
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Published in: | Rheologica acta Vol. 48; no. 9; pp. 961 - 970 |
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Abstract | The flow pattern induced by the settling of a non-Brownian sphere in a fluid depends on the rheological properties of that fluid. For instance, at small Reynolds numbers, the pattern presents a fore–aft symmetry in a Newtonian fluid, whereas, in some viscoelastic polymer solutions, it can exhibit a negative wake, i.e., an upward flow in the sphere’s wake. This study is an experimental work on the settling of a sphere in a suspension of a synthetic colloidal clay, laponite. The fluid is a yield stress fluid that ages, i.e., whose rheological properties evolve over time. We show that the settling velocity of a given sphere, as well as the induced flow pattern, are strongly modified as the fluid ages. In particular, the flow pattern asymmetry increases with the age of the fluid, and a negative wake eventually forms. We relate those modifications to rheological measurements and suggest, in line with works dealing with polymer solutions, that it is the increase in the fluid viscoelasticity that is responsible for the formation of a negative wake. The flow field measurements are also compared with flow-induced birefringence measurements, and we show that very slow relaxation processes are involved in the sphere settling. |
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AbstractList | The flow pattern induced by the settling of a non-Brownian sphere in a fluid depends on the rheological properties of that fluid. For instance, at small Reynolds numbers, the pattern presents a fore–aft symmetry in a Newtonian fluid, whereas, in some viscoelastic polymer solutions, it can exhibit a negative wake, i.e., an upward flow in the sphere’s wake. This study is an experimental work on the settling of a sphere in a suspension of a synthetic colloidal clay, laponite. The fluid is a yield stress fluid that ages, i.e., whose rheological properties evolve over time. We show that the settling velocity of a given sphere, as well as the induced flow pattern, are strongly modified as the fluid ages. In particular, the flow pattern asymmetry increases with the age of the fluid, and a negative wake eventually forms. We relate those modifications to rheological measurements and suggest, in line with works dealing with polymer solutions, that it is the increase in the fluid viscoelasticity that is responsible for the formation of a negative wake. The flow field measurements are also compared with flow-induced birefringence measurements, and we show that very slow relaxation processes are involved in the sphere settling. |
Author | Gueslin, B. Peysson, Y. Talini, L. |
Author_xml | – sequence: 1 givenname: B. surname: Gueslin fullname: Gueslin, B. email: blandine@gueslin.org organization: Univ Pierre et Marie Curie - Paris 6, CNRS, Univ Paris-Sud 11. Lab FAST, Institut Français du Pétrole – sequence: 2 givenname: L. surname: Talini fullname: Talini, L. organization: Univ Pierre et Marie Curie - Paris 6, CNRS, Univ Paris-Sud 11. Lab FAST – sequence: 3 givenname: Y. surname: Peysson fullname: Peysson, Y. organization: Institut Français du Pétrole |
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Cites_doi | 10.1007/s003970050118 10.1016/0377-0257(95)01398-9 10.1016/S0377-0257(03)00059-4 10.1038/279402a0 10.1016/j.jnnfm.2005.10.012 10.1088/0953-8984/16/41/L07 10.1016/j.jnnfm.2003.08.005 10.1063/1.1640372 10.1209/epl/i2000-00203-9 10.1021/la0265732 10.1122/1.1459447 10.1103/PhysRevLett.89.015701 10.1017/S0022112085002622 10.1016/0377-0257(87)80006-X 10.1016/S0377-0257(02)00139-8 10.1122/1.2401614 10.1016/0377-0257(95)01373-4 10.1016/0377-0257(94)80072-3 10.1007/BF01332680 10.1103/PhysRevLett.76.4857 10.1016/j.cocis.2004.12.001 10.1103/PhysRevLett.99.065701 |
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References | Merkak, Jossic, Magnin (CR24) 2006; 133 Pignon, Piau, Magnin (CR26) 1996; 76 Mena, Manero, Leal (CR23) 1987; 26 McKinley (CR22) 2001 CR14 Bush (CR6) 1994; 55 CR13 Ferroir, Huynh, Chateau, Coussot (CR12) 2004; 16 Davidson, Gabriel (CR11) 2005; 9 CR31 Coussot, Nguyen, Huynh, Bonn (CR10) 2002; 46 Atapattu, Chhabra, Uhlherr (CR2) 1995; 59 Chhabra (CR9) 1993 Tabuteau, Coussot, de Bruyn (CR30) 2007; 51 Arigo, McKinley (CR1) 1998; 37 Beris, Tsamopolos, Armonstrong (CR3) 1985; 158 Jabbari-Farouji, Wegdam, Bonn (CR19) 2007; 99 Levitz, Lecolier, Mourchid, Delville, Lyonnard (CR21) 2000; 49 Harlen (CR16) 2002; 108 Chen, Rothstein (CR8) 2004; 116 Bhatia, Barker, Mourchid (CR4) 2003; 19 Bonn, Tanase, Abou, Tanaka, Meunier (CR5) 2002; 89 CR27 Jones, Walters, Williams (CR20) 1987; 26 Chafe, de Bruyn (CR7) 2005; 131 CR25 Happel, Brenner (CR15) 1973 Jabbari-Farouji, Eiser, Wegdam, Bonn (CR18) 2004; 16 Robert, Vergnes, Demay (CR28) 2003; 112 Hassager (CR17) 1979; 279 Solomon, Muller (CR29) 1996; 62 |
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SubjectTerms | Asymmetry Birefringence Characterization and Evaluation of Materials Chemistry and Materials Science Complex Fluids and Microfluidics Food Science Materials Science Mechanical Engineering Newtonian fluids Original Contribution Polymer Sciences Polymers Rheological properties Rheology Settling velocity Soft and Granular Matter Viscoelasticity Yield strength Yield stress |
Title | Sphere settling in an aging yield stress fluid: link between the induced flows and the rheological behavior |
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