Abstract
Dense suspensions of hard particles in a Newtonian liquid can be jammed by shear when the applied stress exceeds a certain threshold. However, this jamming transition from a fluid into a solidified state cannot be probed with conventional steady-state rheology because the stress distribution inside the material cannot be controlled with sufficient precision. Here we introduce and validate a method that overcomes this obstacle. Rapidly propagating shear fronts are generated and used to establish well-controlled local stress conditions that sweep across the material. Exploiting such transient flows, we can track how a dense suspension approaches its shear-jammed state dynamically, and quantitatively map out the onset stress for solidification in a state diagram.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The boundary slip is minor according to our measurements. It only happens at extremely high ϕ and Σ. Even if the boundary slightly slips, as long as the slip is not intermittent, the conclusions above are still valid by replacing U 0 with the actual speed of the flow right next to the boundary.
References
A.J. Liu, S.R. Nagel, Jamming is not just cool any more. Nature 396(6706), 21–22 (1998)
E. Brown, H.M. Jaeger, Shear thickening in concentrated suspensions: phenomenology, mechanisms and relations to jamming. Rep. Prog. Phys. 77(4), 046602 (2014)
X. Cheng, J.H. McCoy, J.N. Israelachvili, I. Cohen, Imaging the microscopic structure of shear thinning and thickening colloidal suspensions. Science 333, 1276–1279 (2011)
N.J. Wagner, J.F. Brady, Shear thickening in colloidal dispersions. Phys. Today 62(10), 27–32 (2009)
J.F. Brady, G. Bossis, The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation. J. Fluid Mech. 155, 105 (1985)
H.A. Barnes, Shear-thickening (“dilatancy”) in suspensions of nonaggregating solid particles dispersed in Newtonian liquids. J. Rheol. 33(2), 329 (1989)
E. Brown, H.M. Jaeger, The role of dilation and confining stresses in shear thickening of dense suspensions. J. Rheol. 56(4), 875 (2012)
Q. Xu, S. Majumdar, E. Brown, H.M. Jaeger, Shear thickening in highly viscous granular suspensions. Europhys. Lett. 107(6), 68004 (2014)
D. Bi, J. Zhang, B. Chakraborty, R.P. Behringer, Jamming by shear. Nature 480(7377), 355–358 (2011)
I.R. Peters, S. Majumdar, H.M. Jaeger, Direct observation of dynamic shear jamming in dense suspensions. Nature 532(7598), 214–217 (2016)
N. Fernandez, R. Mani, D. Rinaldi, D. Kadau, M. Mosquet, H. Lombois-Burger, J. Cayer-Barrioz, H.J. Herrmann, N.D. Spencer, L. Isa, Microscopic mechanism for shear thickening of non-Brownian suspensions. Phys. Rev. Lett. 111(10), 108301 (2013)
F. Boyer, E. Guazzelli, O. Pouliquen, Unifying suspension and granular rheology. Phys. Rev. Lett. 107(18), 188301 (2011)
J. Comtet, G. Chatte, A. Nigues, L. Bocquet, A. Siria, A. Colin, Pairwise frictional profile between particles determines discontinuous shear thickening transition in non-colloidal suspensions. Nat. Commun. 8, 15633 (2017)
R. Seto, R. Mari, J.F. Morris, M.M. Denn, Discontinuous shear thickening of frictional hard-sphere suspensions. Phys. Rev. Lett. 111(21), 218301 (2013)
R. Mari, R. Seto, J.F. Morris, M.M. Denn, Nonmonotonic flow curves of shear thickening suspensions. Phys. Rev. E 91(5), 052302 (2015)
A. Singh, R. Mari, M.M. Denn, J.F. Morris, A constitutive model for simple shear of dense frictional suspensions. J. Rheol. 62(2), 457–468 (2018)
M. Wyart, M.E. Cates, Discontinuous shear thickening without inertia in dense non-Brownian suspensions. Phys. Rev. Lett. 112(9), 098302 (2014)
N.M. James, E. Han, R.A.L. de la Cruz, J. Jureller, H.M. Jaeger, Interparticle hydrogen bonding can elicit shear jamming in dense suspensions. Nat. Mater. 17(11), 965–970 (2018)
B.M. Guy, M. Hermes, W.C. Poon, Towards a unified description of the rheology of hard-particle suspensions. Phys. Rev. Lett. 115(8), 088304 (2015)
Z. Pan, H. de Cagny, B. Weber, D. Bonn, S-shaped flow curves of shear thickening suspensions: direct observation of frictional rheology. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 92(3), 032202 (2015)
B. Liu, M. Shelley, J. Zhang, Focused force transmission through an aqueous suspension of granules. Phys. Rev. Lett. 105(18), 188301 (2010)
S.R. Waitukaitis, H.M. Jaeger, Impact-activated solidification of dense suspensions via dynamic jamming fronts. Nature 487(7406), 205–209 (2012)
R. Maharjan, S. Mukhopadhyay, B. Allen, T. Storz, E. Brown, Constitutive relation for the system-spanning dynamically jammed region in response to impact of cornstarch and water suspensions. Phys. Rev. E 97(5), 052602 (2018)
M.I. Smith, R. Besseling, M.E. Cates, V. Bertola, Dilatancy in the flow and fracture of stretched colloidal suspensions. Nat. Commun. 1, 114 (2010)
S. Manneville, L. Bécu, A. Colin, High-frequency ultrasonic speckle velocimetry in sheared complex fluids. Eur. Phys. J. Appl. Phys. 28(3), 361–373 (2004)
E. Han, I.R. Peters, H.M. Jaeger, High-speed ultrasound imaging in dense suspensions reveals impact-activated solidification due to dynamic shear jamming. Nat. Commun. 7, 12243 (2016)
E. Han, M. Wyart, I.R. Peters, H.M. Jaeger, Shear fronts in shear-thickening suspensions. Phys. Rev. Fluids 3(7), 073301 (2018)
S. Majumdar, I.R. Peters, E. Han, H.M. Jaeger, Dynamic shear jamming under extension in dense granular suspensions. Phys. Rev. E 95, 012603 (2017)
M. Hermes, B.M. Guy, W.C.K. Poon, G. Poy, M.E. Cates, M. Wyart, Unsteady flow and particle migration in dense, non-Brownian suspensions. J. Rheol. 60(5), 905–916 (2016)
R. Mari, R. Seto, J.F. Morris, M.M. Denn, Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions. J. Rheol. 58(6), 1693–1724 (2014)
H. Nakanishi, S. Nagahiro, N. Mitarai, Fluid dynamics of dilatant fluids. Phys. Rev. E 85(1), 011401 (2012)
B. Saint-Michel, T. Gibaud, S. Manneville, Uncovering instabilities in the spatiotemporal dynamics of a shear-thickening cornstarch suspension. Phys. Rev. X 8(3), 031006 (2018)
V. Rathee, D.L. Blair, J.S. Urbach, Localized stress fluctuations drive shear thickening in dense suspensions. Proc. Natl. Acad. Sci. U.S.A. 114(33), 8740–8745 (2017)
W.H. Boersma, P.J.M. Baets, J. Laven, H.N. Stein, Time-dependent behavior and wall slip in concentrated shear thickening dispersions. J. Rheol. 35(6), 1093–1120 (1991)
A. Singh, R. Mari, M.M. Denn, J.F. Morris, A constitutive model for simple shear of dense frictional suspensions. J. Rheol. 62(2), 457–468 (2018)
R.N. Chacko, R. Mari, M.E. Cates, S.M. Fielding, Dynamic vorticity banding in discontinuously shear thickening suspensions. Phys. Rev. Lett. 121(10), 108003 (2018)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Han, E. (2020). Rheology in the Shear Jamming Regime. In: Transient Dynamics of Concentrated Particulate Suspensions Under Shear. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-38348-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-38348-0_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-38347-3
Online ISBN: 978-3-030-38348-0
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)