Unifying disparate rate-dependent rheological regimes in non-Brownian suspensions

More, R. V.; Ardekani, A. M.

doi:10.1103/physreve.103.062610

Unifying disparate rate-dependent rheological regimes in non-Brownian suspensions

Journal Article · Fri Jun 11 00:00:00 EDT 2021 · Physical Review E

DOI:https://doi.org/10.1103/physreve.103.062610· OSTI ID:1787957

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Purdue Univ., West Lafayette, IN (United States); Purdue University
Purdue Univ., West Lafayette, IN (United States)

A typical dense non-Brownian particulate suspension exhibits shear thinning (decreasing viscosity) at low shear rate/stress followed by a Newtonian plateau (constant viscosity) at intermediate shear rate/stress values which transitions to shear thickening (increasing viscosity) beyond a critical shear rate/stress value and finally, undergoes a second shear thinning transition at extremely high shear rate/stress values. In this study, we unify and quantitatively reproduce all the disparate rate dependent regimes and the corresponding transitions for a dense non-Brownian suspension with increasing shear rate/stress. Here, we employ discrete particle dynamics simulations based on the proposed mechanism to elucidate its accuracy. We find that a competition between inter-particle interactions of hydrodynamic and non-hydrodynamic origins and the switching in the dominant stress scale with increasing the shear rate/stress lead to each of the above transitions. Inclusion of traditional hydrodynamic interactions, attractive/repulsive DLVO (Derjaguin and Landau, Verwey and Overbeek) interactions, the inter-particle contact interactions and a constant friction (or other constraint mechanism) reproduce the initial thinning as well as the shear thickening transition. However, to quantitatively capture the intermediate Newtonian plateau and the second shear thinning, an additional non-hydrodynamic interaction of non-DLVO origin and a decreasing coefficient of friction, respectively, are essential; thus, providing the first explanation for the presence of the intermediate Newtonian plateau along with reproducing the second shear thinning in a single framework. Expressions utilized for various interactions and friction are determined from experimental measurements and hence, result in an excellent quantitative agreement between the simulations and previous experiments.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: EE0008256

OSTI ID:: 1787957

Journal Information:: Physical Review E, Journal Name: Physical Review E Journal Issue: 6 Vol. 103; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (68)

Shear thickening (dilatancy) in concentrated dispersions: Shear Thickening (Dilatancy) in Concentrated Dispersions Boersma, Willem H.; Laven, Jozua; Stein, Hans N. AIChE Journal, Vol. 36, Issue 3 https://doi.org/10.1002/aic.690360302	journal	March 1990
Origins of the Non-DLVO Force between Glass Surfaces in Aqueous Solution Adler, Joshua J.; Rabinovich, Yakov I.; Moudgil, Brij M. Journal of Colloid and Interface Science, Vol. 237, Issue 2 https://doi.org/10.1006/jcis.2001.7466	journal	May 2001
Microstructure of shear-thickening concentrated suspensions determined by flow-USANS Kalman, Dennis P.; Wagner, Norman J. Rheologica Acta, Vol. 48, Issue 8 https://doi.org/10.1007/s00397-009-0351-2	journal	March 2009
Elastic–plastic spherical contact under combined normal and tangential loading in full stick Brizmer, V.; Kligerman, Y.; Etsion, I. Tribology Letters, Vol. 25, Issue 1 https://doi.org/10.1007/s11249-006-9156-y	journal	November 2006
Discontinuous and dilatant viscosity behavior in concentrated suspensions III. Necessary conditions for their occurrence in viscometric flows Hoffman, Richard L. Advances in Colloid and Interface Science, Vol. 17, Issue 1 https://doi.org/10.1016/0001-8686(82)80017-1	journal	August 1982
Discontinuous and dilatant viscosity behavior in concentrated suspensions. II. Theory and experimental tests Hoffman, R. L. Journal of Colloid and Interface Science, Vol. 46, Issue 3 https://doi.org/10.1016/0021-9797(74)90059-9	journal	March 1974
Normal stresses in extremely shear thickening polymer dispersions Laun, H. M. Journal of Non-Newtonian Fluid Mechanics, Vol. 54 https://doi.org/10.1016/0377-0257(94)80016-2	journal	August 1994
A simulation technique for many spheres in quasi-static motion under frame-invariant pair drag and Brownian forces Ball, R. C.; Melrose, J. R. Physica A: Statistical Mechanics and its Applications, Vol. 247, Issue 1-4 https://doi.org/10.1016/S0378-4371(97)00412-3	journal	December 1997
Normal stresses and microstructure in bounded sheared suspensions via Stokesian Dynamics simulations Singh, Anugrah; Nott, Prabhu R. Journal of Fluid Mechanics, Vol. 412 https://doi.org/10.1017/S0022112000008375	journal	June 2000
Numerical investigation of particle–particle and particle–wall collisions in a viscous fluid Ardekani, A. M.; Rangel, R. H. Journal of Fluid Mechanics, Vol. 596 https://doi.org/10.1017/S0022112007009688	journal	January 2008
Particle-wall collision in a viscoelastic fluid Ardekani, A. M.; Joseph, D. D.; Dunn-Rankin, D. Journal of Fluid Mechanics, Vol. 633 https://doi.org/10.1017/S0022112009990632	journal	August 2009
The rheology of concentrated suspensions of spheres in simple shear flow by numerical simulation Brady, John F.; Bossis, Georges Journal of Fluid Mechanics, Vol. 155 https://doi.org/10.1017/S0022112085001732	journal	June 1985
Stokesian Dynamics simulation of Brownian suspensions Phung, Thanh N.; Brady, John F.; Bossis, Georges Journal of Fluid Mechanics, Vol. 313 https://doi.org/10.1017/S0022112096002170	journal	April 1996
Microstructure of strongly sheared suspensions and its impact on rheology and diffusion Brady, John F.; Morris, Jeffrey F. Journal of Fluid Mechanics, Vol. 348 https://doi.org/10.1017/S0022112097006320	journal	October 1997
Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation Foss, David R.; Brady, John F. Journal of Fluid Mechanics, Vol. 407 https://doi.org/10.1017/S0022112099007557	journal	March 2000
Rheology of sheared suspensions of rough frictional particles Gallier, Stany; Lemaire, Elisabeth; Peters, François Journal of Fluid Mechanics, Vol. 757 https://doi.org/10.1017/jfm.2014.507	journal	September 2014
Rheology of dense granular suspensions Guazzelli, Élisabeth; Pouliquen, Olivier Journal of Fluid Mechanics, Vol. 852 https://doi.org/10.1017/jfm.2018.548	journal	August 2018
Shear thinning in non-Brownian suspensions explained by variable friction between particles Lobry, Laurent; Lemaire, Elisabeth; Blanc, Frédéric Journal of Fluid Mechanics, Vol. 860 https://doi.org/10.1017/jfm.2018.881	journal	December 2018
Roughness in Surface Force Measurements: Extension of DLVO Theory To Describe the Forces between Hafnia Surfaces Eom, Namsoon; Parsons, Drew F.; Craig, Vincent S. J. The Journal of Physical Chemistry B, Vol. 121, Issue 26 https://doi.org/10.1021/acs.jpcb.7b03131	journal	June 2017
Rheological Properties and Small-Angle Neutron Scattering of a Shear Thickening, Nanoparticle Dispersion at High Shear Rates Lee, Young S.; Wagner, Norman J. Industrial & Engineering Chemistry Research, Vol. 45, Issue 21 https://doi.org/10.1021/ie0512690	journal	October 2006
Double Layer Forces between Heterogeneous Charged Surfaces Miklavic, S. J.; Chan, D. Y. C.; White, L. R. The Journal of Physical Chemistry, Vol. 98, Issue 36 https://doi.org/10.1021/j100087a034	journal	September 1994
Pairwise frictional profile between particles determines discontinuous shear thickening transition in non-colloidal suspensions Comtet, Jean; Chatté, Guillaume; Niguès, Antoine Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15633	journal	May 2017
Shear thinning in non-Brownian suspensions Chatté, Guillaume; Comtet, Jean; Niguès, Antoine Soft Matter, Vol. 14, Issue 6 https://doi.org/10.1039/C7SM01963G	journal	January 2018
Polyelectrolyte adsorption, interparticle forces, and colloidal aggregation Szilagyi, Istvan; Trefalt, Gregor; Tiraferri, Alberto Soft Matter, Vol. 10, Issue 15 https://doi.org/10.1039/c3sm52132j	journal	January 2014
Electrical forces between particles with arbitrary fixed surface charge distributions in ionic solution Richmond, Peter Journal of the Chemical Society, Faraday Transactions 2, Vol. 70 https://doi.org/10.1039/f29747001066	journal	January 1974
Electrical forces between particles with discrete periodic surface charge distributions in ionic solution Richmond, Peter Journal of the Chemical Society, Faraday Transactions 2, Vol. 71 https://doi.org/10.1039/f29757101154	journal	January 1975
Normal stress and diffusion in a dilute suspension of hard spheres undergoing simple shear Zarraga, Isidro E.; Leighton, David T. Physics of Fluids, Vol. 13, Issue 3 https://doi.org/10.1063/1.1345881	journal	March 2001
Shear thickening in colloidal dispersions Wagner, Norman J.; Brady, John F. Physics Today, Vol. 62, Issue 10 https://doi.org/10.1063/1.3248476	journal	October 2009
Computer simulations of dense hard‐sphere systems Rintoul, M. D.; Torquato, S. The Journal of Chemical Physics, Vol. 105, Issue 20 https://doi.org/10.1063/1.473004	journal	November 1996
Surface forces: Surface roughness in theory and experiment Parsons, Drew F.; Walsh, Rick B.; Craig, Vincent S. J. The Journal of Chemical Physics, Vol. 140, Issue 16 https://doi.org/10.1063/1.4871412	journal	April 2014
Particle dispersion in sheared suspensions: Crucial role of solid-solid contacts Pham, Phong; Metzger, Bloen; Butler, Jason E. Physics of Fluids, Vol. 27, Issue 5 https://doi.org/10.1063/1.4919728	journal	May 2015
Discontinuous shear thickening in Brownian suspensions by dynamic simulation Mari, Romain; Seto, Ryohei; Morris, Jeffrey F. Proceedings of the National Academy of Sciences, Vol. 112, Issue 50 https://doi.org/10.1073/pnas.1515477112	journal	November 2015
Molecular insight into the nanoconfined calcite–solution interface Diao, Yijue; Espinosa-Marzal, Rosa M. Proceedings of the National Academy of Sciences, Vol. 113, Issue 43 https://doi.org/10.1073/pnas.1605920113	journal	October 2016
Revealing the frictional transition in shear-thickening suspensions Clavaud, Cécile; Bérut, Antoine; Metzger, Bloen Proceedings of the National Academy of Sciences, Vol. 114, Issue 20 https://doi.org/10.1073/pnas.1703926114	journal	May 2017
Roughness-dependent tribology effects on discontinuous shear thickening Hsu, Chiao-Peng; Ramakrishna, Shivaprakash N.; Zanini, Michele Proceedings of the National Academy of Sciences, Vol. 115, Issue 20 https://doi.org/10.1073/pnas.1801066115	journal	May 2018
Shear thickening in concentrated suspensions: phenomenology, mechanisms and relations to jamming Brown, Eric; Jaeger, Heinrich M. Reports on Progress in Physics, Vol. 77, Issue 4 https://doi.org/10.1088/0034-4885/77/4/046602	journal	April 2014
The Mechanism of Dilatancy Andrade, E. N. da C.; Fox, J. W. Proceedings of the Physical Society. Section B, Vol. 62, Issue 8 https://doi.org/10.1088/0370-1301/62/8/303	journal	August 1949
Lubricated-to-frictional shear thickening scenario in dense suspensions Morris, Jeffrey F. Physical Review Fluids, Vol. 3, Issue 11 https://doi.org/10.1103/PhysRevFluids.3.110508	journal	November 2018
Dynamic Jamming Point for Shear Thickening Suspensions Brown, Eric; Jaeger, Heinrich M. Physical Review Letters, Vol. 103, Issue 8 https://doi.org/10.1103/PhysRevLett.103.086001	journal	August 2009
Shear Thickening and Migration in Granular Suspensions Fall, Abdoulaye; Lemaître, Anaël; Bertrand, François Physical Review Letters, Vol. 105, Issue 26 https://doi.org/10.1103/PhysRevLett.105.268303	journal	December 2010
Microscopic Mechanism for Shear Thickening of Non-Brownian Suspensions Fernandez, Nicolas; Mani, Roman; Rinaldi, David Physical Review Letters, Vol. 111, Issue 10 https://doi.org/10.1103/PhysRevLett.111.108301	journal	September 2013
Discontinuous Shear Thickening without Inertia in Dense Non-Brownian Suspensions Wyart, M.; Cates, M. E. Physical Review Letters, Vol. 112, Issue 9 https://doi.org/10.1103/PhysRevLett.112.098302	journal	March 2014
Towards a Unified Description of the Rheology of Hard-Particle Suspensions Guy, B. M.; Hermes, M.; Poon, W. C. K. Physical Review Letters, Vol. 115, Issue 8 https://doi.org/10.1103/PhysRevLett.115.088304	journal	August 2015
Hydrodynamic and Contact Contributions to Continuous Shear Thickening in Colloidal Suspensions Lin, Neil Y. C.; Guy, Ben M.; Hermes, Michiel Physical Review Letters, Vol. 115, Issue 22 https://doi.org/10.1103/PhysRevLett.115.228304	journal	November 2015
Rheological Signature of Frictional Interactions in Shear Thickening Suspensions Royer, John R.; Blair, Daniel L.; Hudson, Steven D. Physical Review Letters, Vol. 116, Issue 18 https://doi.org/10.1103/PhysRevLett.116.188301	journal	May 2016
Shear Thinning of Noncolloidal Suspensions Vázquez-Quesada, Adolfo; Tanner, Roger I.; Ellero, Marco Physical Review Letters, Vol. 117, Issue 10 https://doi.org/10.1103/PhysRevLett.117.108001	journal	August 2016
Constraint-Based Approach to Granular Dispersion Rheology Guy, B. M.; Richards, J. A.; Hodgson, D. J. M. Physical Review Letters, Vol. 121, Issue 12 https://doi.org/10.1103/PhysRevLett.121.128001	journal	September 2018
From Yielding to Shear Jamming in a Cohesive Frictional Suspension Singh, Abhinendra; Pednekar, Sidhant; Chun, Jaehun Physical Review Letters, Vol. 122, Issue 9 https://doi.org/10.1103/PhysRevLett.122.098004	journal	March 2019
Alternative Frictional Model for Discontinuous Shear Thickening of Dense Suspensions: Hydrodynamics Jamali, Safa; Brady, John F. Physical Review Letters, Vol. 123, Issue 13 https://doi.org/10.1103/PhysRevLett.123.138002	journal	September 2019
Shear Thickening and Jamming of Dense Suspensions: The “Roll” of Friction Singh, Abhinendra; Ness, Christopher; Seto, Ryohei Physical Review Letters, Vol. 124, Issue 24 https://doi.org/10.1103/PhysRevLett.124.248005	journal	June 2020
Dilatant Flow of Concentrated Suspensions of Rough Particles Lootens, Didier; van Damme, Henri; Hémar, Yacine Physical Review Letters, Vol. 95, Issue 26 https://doi.org/10.1103/PhysRevLett.95.268302	journal	December 2005
How Confinement-Induced Structures Alter the Contribution of Hydrodynamic and Short-Ranged Repulsion Forces to the Viscosity of Colloidal Suspensions Ramaswamy, Meera; Lin, Neil Y. C.; Leahy, Brian D. Physical Review X, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevX.7.041005	journal	October 2017
Continuous shear thickening transitions in model concentrated colloids—The role of interparticle forces Melrose, John R.; Ball, Robin C. Journal of Rheology, Vol. 48, Issue 5 https://doi.org/10.1122/1.1784783	journal	September 2004
The effect of the shear-thickening transition of model colloidal spheres on the sign of N1 and on the radial pressure profile in torsional shear flows Lee, M.; Alcoutlabi, M.; Magda, J. J. Journal of Rheology, Vol. 50, Issue 3 https://doi.org/10.1122/1.2188567	journal	May 2006
The role of dilation and confining stresses in shear thickening of dense suspensions Brown, Eric; Jaeger, Heinrich M. Journal of Rheology, Vol. 56, Issue 4 https://doi.org/10.1122/1.4709423	journal	July 2012
Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions Mari, Romain; Seto, Ryohei; Morris, Jeffrey F. Journal of Rheology, Vol. 58, Issue 6 https://doi.org/10.1122/1.4890747	journal	November 2014
Particle roughness and rheology in noncolloidal suspensions Tanner, Roger I.; Dai, Shaocong Journal of Rheology, Vol. 60, Issue 4 https://doi.org/10.1122/1.4954643	journal	July 2016
A constitutive model for simple shear of dense frictional suspensions Singh, Abhinendra; Mari, Romain; Denn, Morton M. Journal of Rheology, Vol. 62, Issue 2 https://doi.org/10.1122/1.4999237	journal	March 2018
Bidisperse and polydisperse suspension rheology at large solid fraction Pednekar, Sidhant; Chun, Jaehun; Morris, Jeffrey F. Journal of Rheology, Vol. 62, Issue 2 https://doi.org/10.1122/1.5011353	journal	March 2018
Effect of roughness on the rheology of concentrated non-Brownian suspensions: A numerical study More, Rishabh V.; Ardekani, Arezoo M. Journal of Rheology, Vol. 64, Issue 1 https://doi.org/10.1122/1.5097794	journal	January 2020
Roughness induced shear thickening in frictional non-Brownian suspensions: A numerical study More, R. V.; Ardekani, A. M. Journal of Rheology, Vol. 64, Issue 2 https://doi.org/10.1122/1.5129094	journal	March 2020
Flow Behavior of Concentrated (Dilatant) Suspensions Metzner, A. B.; Whitlock, Malcolm Transactions of the Society of Rheology, Vol. 2, Issue 1 https://doi.org/10.1122/1.548831	journal	March 1958
Discontinuous and Dilatant Viscosity Behavior in Concentrated Suspensions. I. Observation of a Flow Instability Hoffman, R. L. Transactions of the Society of Rheology, Vol. 16, Issue 1 https://doi.org/10.1122/1.549250	journal	March 1972
A constitutive model for sheared dense suspensions of rough particles More, R. V.; Ardekani, A. M. Journal of Rheology, Vol. 64, Issue 5 https://doi.org/10.1122/8.0000039	journal	September 2020
Stokesian Dynamics Brady, J. F.; Bossis, G. Annual Review of Fluid Mechanics, Vol. 20, Issue 1 https://doi.org/10.1146/annurev.fl.20.010188.000551	journal	January 1988
Fluid Mechanics and Rheology of Dense Suspensions Stickel, Jonathan J.; Powell, Robert L. Annual Review of Fluid Mechanics, Vol. 37, Issue 1 https://doi.org/10.1146/annurev.fluid.36.050802.122132	journal	January 2005
Rheology of PVC Plastisol at Instability Region and Beyond (Proposal for Super-High Shear-Rate Coating) Nakajima, N.; Harrell, E. R. Journal of Elastomers & Plastics, Vol. 41, Issue 3 https://doi.org/10.1177/0095244308099553	journal	May 2009
Consideration of stribeck diagram parameters in the investigation on wear and friction behavior in lubricated sliding Maru, Marcia Marie; Tanaka, Deniol K. Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 29, Issue 1 https://doi.org/10.1590/S1678-58782007000100009	journal	January 2007

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