Breakup of a capillary bridge of suspensions. (English. Russian original) Zbl 1233.76002
Fluid Dyn. 45, No. 6, 952-964 (2010); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 2010, No. 6, 133-147 (2010).
Summary: The breakup of liquid bridges under the action of capillary forces is used for studying the rheology of suspensions under stretching. The experiments were performed with suspensions of finegrained (3–30\(\mu m\)) sand in glycerin for sand volume fractions up to 0.465. The bridge thinning process was registered using an electro-optical measuring device and videofilming. The results were analyzed on the basis of a theory developed earlier for the thinning of a liquid bridge under the action of capillary forces. It is found that, for fairly slow stretching realized in the initial stage of the thinning, the rheological behavior of the suspensions considered agrees with the model of a Newtonian viscous fluid. Along with this, the measured effective viscosity of the suspension turned out to be approximately two-fold greater than the suspension viscosity under shear. The origin of this discrepancy is analyzed. With increase in the stretching rate, in the final stage of the thinning, the weakening of the suspension occurs, which is manifested in the formation of a local rapidly thinning neck in the bridge, similar to that observed in the breakup of plastic materials.
MSC:
| 76-05 | Experimental work for problems pertaining to fluid mechanics |
| 76T20 | Suspensions |
| 76D45 | Capillarity (surface tension) for incompressible viscous fluids |
References:
| [1] | H.A. Barnes, J.F. Hutton, and K. Walters, An Introduction to Rheology (Elsevier, Amsterdam, 1989). · Zbl 0729.76001 |
| [2] | M.C. Fleming, ”Behavior of Metal Alloys in the Semisolid State,” Metallurg. Trans. A. 22A(5), 957–981(1991). · doi:10.1007/BF02661090 |
| [3] | A.V. Bazilevskii, S.I. Voronkov, V.M. Entov, and A.N. Rozhkov, ”Orientation Effects in the Breakup of Jets and Filaments of Dilute Polymer Solutions,” Dokl. Akad. Nauk USSR 257(2), 336–339 (1981). |
| [4] | V.T. O’Brien and M.E. Mackay, ”Shear and Elongation Flow Properties of Kaolin Suspensions,” J. Rheolog. 46(3), 557–572 (2002). · doi:10.1122/1.1459446 |
| [5] | A.V. Bazilevskii, V.M. Entov, and A.N. Rozhkov, ”Breakup of an Oldroyd Liquid Bridge–Method of Rheological Testing of Polymer Solutions,” Vysokomolekulyarn. Soed. Ser. A. 43(7), 1161–1172 (2001). |
| [6] | A.N. Alexandrou, A.V. Bazilevsky, V.M. Entov, et al. ”On Tensile Testing of Concentrated Suspensions,” in: The Society of Rheology. 78th Annu. Meeting. 2006. Portland, Maine, USA. |
| [7] | M.K. Tiwary, A.V. Bazilevsky, A.L. Yarin, and C.M. Megaridis, ”Elongational and Shear Rheology of Carbon Nanotube Suspensions,” Rheol. Acta 48(6), 597–609 (2009). · doi:10.1007/s00397-009-0354-z |
| [8] | A.W.K. Ma, F. Chinesta, T. Tuladhar, and M.R. Mackley, ”Filament Stretching of Carbon Nanotube Suspension,” Rheol. Acta 47(4), 447–457 (2008). · doi:10.1007/s00397-007-0247-y |
| [9] | A.V. Bazilevskii, D.A. Koroteev, A.N. Rozhkov, and A.A. Skobeleva, ”Particle Sedimentation in Shear Flows of Visco-Elastic Fluids,” Fluid Dynamics 45(4), 626–637 (2010). · doi:10.1134/S0015462810040125 |
| [10] | I.A. Bashkirtseva, A.Yu. Zubarev, L.Yu. Iskakova, and L.B. Ryashko, ”On Rheophysics of High-Concentrated Suspensions,” Colloid Journal 71(4), 446–454 (2009). · doi:10.1134/S1061933X09040024 |
| [11] | A.V. Bazilevskii and A.N. Rozhkov, ”Dynamics and Breakup of Zigzag-Like Jets of Polymeric Liquids,” Fluid Dynamics 41(4), 493–503 (2006). · doi:10.1007/s10697-006-0067-2 |
| [12] | V.M. Entov, M. Barsoum, and L.E. Shmaryan, ”On Capillary Instability of Jets of Magneto-Rheological Fluids,” J. Rheol. 40(5), 727–739. |
| [13] | V.M. Entov and L.E. Shmaryan, ”Numerical modelling of Capillary Breakup of Jets of Polymer Liquids,” Fluid Dynamics 32(5), 696–703 (1997). · Zbl 0922.76041 · doi:10.1007/BF03374532 |
| [14] | M. Stelter, G. Brenn, A.L. Yarin, et al. ”Validation and Application of a Novel Elongational Device for Polymer Solutions,” J. Rheol. 44(3), 595–616 (2000). · doi:10.1122/1.551102 |
| [15] | G. Astarita and G. Marucci, Principles of Non-Newtonian Fluid Mechanics (Mc-Graw Hill, London, 1974). |
| [16] | G.H. McKinley and A. Tripathi, ”How to Extract the Newtonian Viscosity from Capillary Breakup Measurements in a Filament Rheometer,” J. Rheol. 44(3), 653–670 (2000). · doi:10.1122/1.551105 |
| [17] | A.L. Yarin, E. Zussma, A. Theren, et al. ”Elongational Behavior of Gelled Propellant Simulants,” J. Rheol. 48(1), 101–116 (2004). · doi:10.1122/1.1631423 |
| [18] | J. Eggers, ”Nonlinear Dynamics and Breakup of Viscous Liquid Threads,” Phys. Fluids 7(7), 1529–1544 (1995). · Zbl 1023.76523 · doi:10.1063/1.868570 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
