Exploration of the volume fraction above which suspensions of spherical and weakly anisotropic colloid particles cannot flow

Kramb, Ryan C.; Zukoski, Charles F.

doi:10.1122/1.3613983

Exploration of the volume fraction above which suspensions of spherical and weakly anisotropic colloid particles cannot flow

Journal Article · Thu Jul 21 00:00:00 EDT 2011 · Journal of Rheology

DOI:https://doi.org/10.1122/1.3613983· OSTI ID:1875157

Kramb, Ryan C. ^[1]; Zukoski, Charles F. ^[2]

Univ. of Illinois at Urbana-Champaign, IL (United States); Air Force Research Lab., Wright-Patterson Air Force Base, OH (United States); University of Illinois
Univ. of Illinois at Urbana-Champaign, IL (United States)

In article II of this series, we describe experiments with dense suspensions of spherical and dumbbell shaped colloid particles (particle diameter ~1.2 μm). The suspensions are sheared with dynamic and continuous stress. Dynamic stress sweeps are used to characterize a dynamic glass transition volume fraction (φ_g) and a dynamic yield stress (t_y*). Both phenomena are understood in terms of activated nave mode coupling theory. The dynamic yield stress increases with volume fraction and scales with a reduced volume fraction φ* as t_y* ~ φ *⁴. Under continuous stress, suspensions discontinuously shear thicken at a critical stress (t_t*), which is independent of particle shape and particle interaction. The volume fraction at the onset of thickening (φ_t) is higher for dumbbell particles compared to spheres. Furthermore, our results suggest that there is a volume fraction where t_y = t_t, and this volume fraction occurs close to that of random close packing. For larger volume fractions, steady flow is only established through dilation.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Illinois at Urbana-Champaign, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-07ER46471; FG02-07ER46453

OSTI ID:: 1875157

Journal Information:: Journal of Rheology, Journal Name: Journal of Rheology Journal Issue: 5 Vol. 55; ISSN 0148-6055

Publisher:: Society of RheologyCopyright Statement

Country of Publication:: United States

Language:: English

References (42)

Masthead Sholl, David AIChE Journal, Vol. 36, Issue 3 https://doi.org/10.1002/aic.v36:3	journal	March 1990
Rheological properties of aqueous polymer dispersions Laun, Hans Martin Die Angewandte Makromolekulare Chemie, Vol. 123, Issue 1, p. 335-359 https://doi.org/10.1002/apmc.1984.051230115	journal	August 1984
Experiments with soap-free polymerization of styrene in the presence of alcohols Homola, A. M.; Inoue, M.; Robertson, A. A. Journal of Applied Polymer Science, Vol. 19, Issue 11 https://doi.org/10.1002/app.1975.070191112	journal	November 1975
Scattering Dichroism Measurements of Flow-Induced Structure of a Shear Thickening Suspension D'Haene, P.; Mewis, J.; Fuller, G. G. Journal of Colloid and Interface Science, Vol. 156, Issue 2 https://doi.org/10.1006/jcis.1993.1122	journal	March 1993
Rheological properties of Al2O3-SiC whisker composite suspensions Bergström, L. Journal of Materials Science, Vol. 31, Issue 19 https://doi.org/10.1007/BF00355933	journal	October 1996
Brownian dynamics of polydisperse colloidal hard spheres: Equilibrium structures and random close packings Schaertl, W.; Sillescu, H. Journal of Statistical Physics, Vol. 77, Issue 5-6 https://doi.org/10.1007/BF02183148	journal	December 1994
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
Viscous solvent colloidal system for direct visualization of suspension structure, dynamics and rheology Kogan, Michael; Dibble, Clare J.; Rogers, Reginald E. Journal of Colloid and Interface Science, Vol. 318, Issue 2 https://doi.org/10.1016/j.jcis.2007.10.064	journal	February 2008
Synthesis of Anisotropic Nanoparticles by Seeded Emulsion Polymerization Mock, Eric B.; De Bruyn, Hank; Hawkett, Brian S. Langmuir, Vol. 22, Issue 9 https://doi.org/10.1021/la060003a	journal	April 2006
Yielding Behavior of Thermo-reversible Colloidal Gels Gopalakrishnan, V.; Zukoski, C. F. Langmuir, Vol. 23, Issue 15 https://doi.org/10.1021/la0620915	journal	June 2007
Phase behaviour of concentrated suspensions of nearly hard colloidal spheres Pusey, P. N.; van Megen, W. Nature, Vol. 320, Issue 6060 https://doi.org/10.1038/320340a0	journal	March 1986
Generality of shear thickening in dense suspensions Brown, Eric; Forman, Nicole A.; Orellana, Carlos S. Nature Materials, Vol. 9, Issue 3 https://doi.org/10.1038/nmat2627	journal	January 2010
Effects of shear induced crystallization on the rheology and ageing of hard sphere glasses Koumakis, N.; Schofield, A. B.; Petekidis, G. Soft Matter, Vol. 4, Issue 10 https://doi.org/10.1039/b805171b	journal	January 2008
The effects of particle size on reversible shear thickening of concentrated colloidal dispersions Maranzano, Brent J.; Wagner, Norman J. The Journal of Chemical Physics, Vol. 114, Issue 23 https://doi.org/10.1063/1.1373687	journal	June 2001
Entropic barriers, activated hopping, and the glass transition in colloidal suspensions Schweizer, Kenneth S.; Saltzman, Erica J. The Journal of Chemical Physics, Vol. 119, Issue 2 https://doi.org/10.1063/1.1578632	journal	July 2003
Transport coefficients in glassy colloidal fluids Saltzman, Erica J.; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 119, Issue 2 https://doi.org/10.1063/1.1578633	journal	July 2003
Ideal glass transitions, shear modulus, activated dynamics, and yielding in fluids of nonspherical objects Yatsenko, Galina; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 126, Issue 1 https://doi.org/10.1063/1.2405354	journal	January 2007
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
Re-entrant kinetic arrest and elasticity of concentrated suspensions of spherical and nonspherical repulsive and attractive colloids Kramb, Ryan C.; Zhang, Rui; Schweizer, Kenneth S. The Journal of Chemical Physics, Vol. 134, Issue 1 https://doi.org/10.1063/1.3509393	journal	January 2011
Dynamics of supercooled liquids and the glass transition Bengtzelius, U.; Gotze, W.; Sjolander, A. Journal of Physics C: Solid State Physics, Vol. 17, Issue 33 https://doi.org/10.1088/0022-3719/17/33/005	journal	November 1984
Dilatancy, jamming, and the physics of granulation Cates, M. E.; Haw, M. D.; Holmes, C. B. Journal of Physics: Condensed Matter, Vol. 17, Issue 24 https://doi.org/10.1088/0953-8984/17/24/010	journal	June 2005
Colloidal glass transition in unentangled polymer nanocomposite melts Anderson, Benjamin J.; Zukoski, Charles F. Journal of Physics: Condensed Matter, Vol. 21, Issue 28 https://doi.org/10.1088/0953-8984/21/28/285102	journal	June 2009
Yielding in dense suspensions: cage, bond, and rotational confinements Kramb, Ryan C.; Zukoski, Charles F. Journal of Physics: Condensed Matter, Vol. 23, Issue 3 https://doi.org/10.1088/0953-8984/23/3/035102	journal	December 2010
How hard is a colloidal “hard-sphere” interaction? Bryant, G.; Williams, S. R.; Qian, L. Physical Review E, Vol. 66, Issue 6 https://doi.org/10.1103/PhysRevE.66.060501	journal	December 2002
Shear thickening and scaling of the elastic modulus in a fractal colloidal system with attractive interactions Osuji, Chinedum O.; Kim, Chanjoong; Weitz, David A. Physical Review E, Vol. 77, Issue 6 https://doi.org/10.1103/PhysRevE.77.060402	journal	June 2008
Theory of coupled translational-rotational glassy dynamics in dense fluids of uniaxial particles Zhang, Rui; Schweizer, Kenneth S. Physical Review E, Vol. 80, Issue 1 https://doi.org/10.1103/PhysRevE.80.011502	journal	July 2009
Elasticity of dilatant particle suspensions during flow Larsen, Ryan J.; Kim, Jin-Woong; Zukoski, Charles F. Physical Review E, Vol. 81, Issue 1 https://doi.org/10.1103/PhysRevE.81.011502	journal	January 2010
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
Glass Formation and Shear Elasticity in Dense Suspensions of Repulsive Anisotropic Particles Kramb, R. C.; Zhang, R.; Schweizer, K. S. Physical Review Letters, Vol. 105, Issue 5 https://doi.org/10.1103/PhysRevLett.105.055702	journal	July 2010
Shear and elongation flow properties of kaolin suspensions O’Brien, Vincent T.; Mackay, Michael E. Journal of Rheology, Vol. 46, Issue 3 https://doi.org/10.1122/1.1459446	journal	May 2002
“Contact networks” in continuously shear thickening colloids Melrose, John R.; Ball, Robin C. Journal of Rheology, Vol. 48, Issue 5 https://doi.org/10.1122/1.1784784	journal	September 2004
Effect of attractions on shear thickening in dense suspensions Gopalakrishnan, V.; Zukoski, C. F. Journal of Rheology, Vol. 48, Issue 6 https://doi.org/10.1122/1.1784785	journal	November 2004
Glass transitions and shear thickening suspension rheology Holmes, C. B.; Cates, M. E.; Fuchs, M. Journal of Rheology, Vol. 49, Issue 1 https://doi.org/10.1122/1.1814114	journal	January 2005
The rheology and microstructure of acicular precipitated calcium carbonate colloidal suspensions through the shear thickening transition Egres, Ronald G.; Wagner, Norman J. Journal of Rheology, Vol. 49, Issue 3 https://doi.org/10.1122/1.1895800	journal	May 2005
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
Yielding behavior of repulsion- and attraction-dominated colloidal glasses Pham, K. N.; Petekidis, G.; Vlassopoulos, D. Journal of Rheology, Vol. 52, Issue 2 https://doi.org/10.1122/1.2838255	journal	March 2008
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
Shear‐Thickening (“Dilatancy”) in Suspensions of Nonaggregating Solid Particles Dispersed in Newtonian Liquids Barnes, H. A. Journal of Rheology, Vol. 33, Issue 2 https://doi.org/10.1122/1.550017	journal	February 1989
Gap size and shear history dependencies in shear thickening of a suspension ordered at rest Chow, M. K.; Zukoski, C. F. Journal of Rheology, Vol. 39, Issue 1 https://doi.org/10.1122/1.550697	journal	January 1995
Reversible shear thickening in monodisperse and bidisperse colloidal dispersions Bender, Jonathan; Wagner, Norman J. Journal of Rheology, Vol. 40, Issue 5 https://doi.org/10.1122/1.550767	journal	September 1996
Effect of interparticle forces on shear thickening of oxide suspensions Franks, George V.; Zhou, Zhongwu; Duin, Nanda J. Journal of Rheology, Vol. 44, Issue 4 https://doi.org/10.1122/1.551111	journal	July 2000
Multiple Glassy States in a Simple Model System Pham, K. N. Science, Vol. 296, Issue 5565 https://doi.org/10.1126/science.1068238	journal	April 2002

Cited By (3)

Fluctuations in flow produced by competition between apparent wall slip and dilatancy Larsen, Ryan J.; Kim, Jin-Woong; Zukoski, Charles F. Rheologica Acta, Vol. 53, Issue 4 https://doi.org/10.1007/s00397-014-0764-4	journal	March 2014
Design of yield-stress fluids: a rheology-to-structure inverse problem Nelson, Arif Z.; Ewoldt, Randy H. Soft Matter, Vol. 13, Issue 41 https://doi.org/10.1039/c7sm00758b	journal	January 2017
Shear thickening in concentrated suspensions: phenomenology, mechanisms, and relations to jamming Brown, Eric; Jaeger, Heinrich M. arXiv https://doi.org/10.48550/arxiv.1307.0269	text	January 2013

Similar Records

Yielding in dense suspensions: cage, bond, and rotational confinements

Journal Article · Thu Dec 09 23:00:00 EST 2010 · Journal of Physics. Condensed Matter · OSTI ID:1876415

Nonequilibrium behavior of dense suspensions of uniform particles: Volume fraction and size dependence of rheology and microstructure

Journal Article · Sat Dec 31 23:00:00 EST 1994 · Journal of Rheology; (United States) · OSTI ID:6721187

The rheology of bimodal mixtures of colloidal particles with long-range, soft repulsions

Journal Article · Sun Feb 14 23:00:00 EST 1999 · Journal of Colloid and Interface Science · OSTI ID:328309

Related Subjects

42 ENGINEERING
Elastic modulus
Electrostatics
Flow boundary effects
Glass transitions
Interatomic potentials
Mechanical stress
Potential energy barrier
Rheometer
Shear thickening
Shear thinning

Exploration of the volume fraction above which suspensions of spherical and weakly anisotropic colloid particles cannot flow

Citation Formats

References (42)

Cited By (3)

Similar Records

Related Subjects