Skip to Main Content

Access Provided by Xinjiang University

Physical Review E

Access by Xinjiang University

Velocity oscillations and stop-go cycles: The trajectory of an object settling in a cornstarch suspension

Stefan von Kann, Jacco H. Snoeijer, and Devaraj van der Meer

Physics of Fluids Group, University of Twente, P. O. Box 217, 7500 AE Enschede, The Netherlands

Phys. Rev. E 87, 042301 – Published 1 April, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.042301

Abstract

We present results for objects settling in a cornstarch suspension. Two surprising phenomena can be found in concentrated suspensions. First, the settling object does not attain a terminal velocity but exhibits oscillations around a terminal velocity when traveling through the bulk of the liquid. Second, close to the bottom, the object comes to a full stop but then reaccelerates before coming to another stop. This cycle can be repeated up to 6 or 7 times before the object reaches the bottom to come to a final stop. For the bulk, we show that shear-thickening models are insufficient to account for the observed oscillations and that the history of the suspension needs to be taken into account. A hysteretic model, that goes beyond the traditional viscoelastic ones, describes the experiments quite well but still misses some details. The behavior at the bottom can be modeled with a minimal jamming model.

Article Text

References (27)

N. J. Wagner and J. F. Brady, Phys. Today 62, 27 (2009).
H. Barnes, J. Rheol 33, 329 (1989).
A. Fall, N. Huang, F. Bertrand, G. Ovarlez, and D. Bonn, Phys. Rev. Lett. 100, 018301 (2008).
E. Brown and H. M. Jaeger, Phys. Rev. Lett. 103, 086001 (2009).
E. Brown, N. Forman, C. Orellana, H. Zhang, B. Maynor, D. Betts, J. M. De Simone, and H. Jaeger, Nature Materials 9, 220 (2010).
C. Bonnoit, T. Darnige, E. Clement, and A. Lindner, J. Rheol. 54, 65 (2010).
E. Brown and H. Jaeger, J. Rheol. 56, 875 (2012).
A. J. Liu and S. R. Nagel, Nature 396, 21 (1998).
M. van Hecke, J. Phys.: Cond. Matt. 22, 033101 (2010).
S. Torquato, T. M. Truskett, and P. G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000)
S. R. Williams and A. P. Philipse, Phys. Rev. E 67, 051301 (2003).
J. Willett, Cereal Chem. 78, 64 (2001).
H. He, Z. Guo, P. Stroeven, M. Stroeven, and L. J. Sluys, Mater. Charact. 60, 1082 (2009).
C. Bonnoit, J. Lanuza, A. Lindner, and E. Clement, Phys. Rev. Lett. 105, 108302 (2010).
A. Fall, F. Bertrand, G. Ovarlez, and D. Bonn, J. Rheol. 56, 575 (2012).
E. B. White, M. Chellamuthu, and J. Rothstein, Rheol. Acta 49, 119 (2010).
F. S. Merkt, R. D. Deegan, D. I. Goldman, E. C. Rericha, and H. L. Swinney, Phys. Rev. Lett. 92, 184501 (2004).
R. D. Deegan, Phys. Rev. E 81, 036319 (2010).
H. Ebata, S. Tatsumi, and M. Sano, Phys. Rev. E 79, 066308 (2009).
H. Ebata and M. Sano, Phys. Rev. Lett. 107, 088301 (2011).
S. von Kann, J. H. Snoeijer, D. Lohse, and D. van der Meer, Phys. Rev. E 84, 060401 (2011).
B. Liu, M. Shelley, and J. Zhang, Phys. Rev. Lett. 105, 188301 (2010).
N. Abaid, D. Adalsteinsson, A. Agyapong, and R. McLaughlin, Phys. Fluids 16, 1567 (2004).
B. Akers and A. Belmonte, J. Non-Newtonian Fluid Mech. 135, 97 (2006).
M. Arigo and G. McKinley, J. Rheol. 41, 103 (1997).
D. Lohse, R. Rauhé, R. Bergmann, and D. van der Meer, Nature 432, 689 (2004).
S. Waitukaitis and H. Jaeger, Nature 487, 205 (2012).