The effects of particle size on reversible shear thickening of concentrated colloidal dispersions

The particle size dependence of the reversible shear thickening transition in dense colloidal suspensions is explored. Five suspensions of monodisperse silica are synthesized via the Stober synthesis. The physicochemical properties of the dispersions are quantified using transmission electron microscopy, dynamic light scattering, small angle light scattering, electrophoresis, and viscometry. Rheology measurements indicate a critical stress marking the onset of reversible shear thickening that depends on the dispersion’s particle size, concentration, polydispersity, and interparticle interactions. A simplified two particle force balance between the interparticle repulsive forces and the hydrodynamic compressive forces is used to derive a scaling relationship between this critical shear stress and the suspension properties. The scaling is tested against the fully characterized silica dispersions, which span nearly a decade in particle size. Furthermore, bimodal mixtures of the dispersions are employed to ev...

[1]  G. Batchelor,et al.  The determination of the bulk stress in a suspension of spherical particles to order c2 , 1972, Journal of Fluid Mechanics.

[2]  W. Russel,et al.  A Smoluchowski theory with simple approximations for hydrodynamic interactions in concentrated dispersions , 1997 .

[3]  Melrose,et al.  Continuous Shear Thickening and Colloid Surfaces. , 1996, Physical review letters.

[4]  Hao Wang,et al.  Microstructural changes in a colloidal liquid in the shear thinning and shear thickening regimes , 1999 .

[5]  Y. H. Kim,et al.  Structure and rheology of hyperbranched and dendritic polymers. I. Modification and characterization of poly(propyleneimine) dendrimers with acetyl groups , 2000 .

[6]  H. N. Stein,et al.  Shear thickening (dilatancy) in concentrated dispersions , 1990 .

[7]  A. Vrij,et al.  Monodisperse Colloidal Silica Spheres from Tetraalkoxysilanes: Particle Formation and Growth Mechanism , 1992 .

[8]  J. Brady Model hard-sphere dispersions: statistical mechanical theory, simulations, and experiments , 1996 .

[9]  A. Yoshimura,et al.  Wall Slip Corrections for Couette and Parallel Disk Viscometers , 1988 .

[10]  J. Brady The rheological behavior of concentrated colloidal dispersions , 1993 .

[11]  R. Hoffman Discontinuous and dilatant viscosity behavior in concentrated suspensions. II. Theory and experimental tests , 1974 .

[12]  W. Russel,et al.  Distinguishing between dynamic yielding and wall slip in a weakly flocculated colloidal dispersion , 2000 .

[13]  Michael E. Mackay,et al.  Stress Components and Shear Thickening of Concentrated Hard Sphere Suspensions , 2000 .

[14]  D. V. Boger,et al.  Effect of interparticle forces on shear thickening of oxide suspensions , 2000 .

[15]  A. Kentgens,et al.  Particle morphology and chemical microstructure of colloidal silica spheres made from alkoxysilanes , 1992 .

[16]  L. Silbert,et al.  A structural analysis of concentrated, aggregated colloids under flow , 1999 .

[17]  Wagner,et al.  Hydrodynamic and Colloidal Interactions in Concentrated Charge-Stabilized Polymer Dispersions. , 2000, Journal of colloid and interface science.

[18]  Michael E. Mackay,et al.  Effect of gap on the viscosity of monodisperse polystyrene melts: Slip effects , 1995 .

[19]  G. Batchelor The effect of Brownian motion on the bulk stress in a suspension of spherical particles , 1977, Journal of Fluid Mechanics.

[20]  Xiaoping Zhou,et al.  Identification of Rotational Band in Doubly Odd 170Ta , 1998 .

[21]  A. Vrij,et al.  Synthesis and Characterization of Monodisperse Colloidal Organo-silica Spheres , 1993 .

[22]  N. Wagner,et al.  Relationship between short-time self-diffusion and high-frequency viscosity in charge-stabilized dispersions , 1998 .

[23]  N. Wagner,et al.  Thermodynamic properties and rheology of sterically stabilized colloidal dispersions , 2000 .

[24]  D. Quemada Rheological modelling of complex fluids. I. The concept of effective volume fraction revisited , 1998 .

[25]  R. L. Hoffman,et al.  Dynamic simulation of shear thickening in concentrated colloidal suspensions , 1997, Journal of Fluid Mechanics.

[26]  O. Glatter,et al.  Small-Angle Scattering of Interacting Particles. I. Basic Principles of a Global Evaluation Technique , 1997 .

[27]  J. Brady,et al.  Stokesian Dynamics simulation of Brownian suspensions , 1996, Journal of Fluid Mechanics.

[28]  Robin Ball,et al.  Shear thickening and order–disorder effects in concentrated colloids at high shear rates , 2000 .

[29]  N. Wagner,et al.  Surface Charge of 3-(Trimethoxysilyl) Propyl Methacrylate (TPM) Coated Stöber Silica Colloids by Zeta-Phase Analysis Light Scattering and Small Angle Neutron Scattering , 2000 .

[30]  N. Wagner,et al.  Optical Measurement of the Contributions of Colloidal Forces to the Rheology of Concentrated Suspensions , 1995 .

[31]  John F. Brady,et al.  Microstructure of strongly sheared suspensions and its impact on rheology and diffusion , 1997, Journal of Fluid Mechanics.

[32]  H. A. Barnes,et al.  Shear‐Thickening (“Dilatancy”) in Suspensions of Nonaggregating Solid Particles Dispersed in Newtonian Liquids , 1989 .

[33]  M. Mackay,et al.  Comparison of shear stress and wall slip measurement techniques on a linear low density polyethylene , 2000 .

[34]  C. Chaffey,et al.  Shear thinning and thickening rheology , 1977 .

[35]  R. Farr,et al.  Kinetic theory of jamming in hard-sphere startup flows , 1997 .

[36]  Underwood,et al.  Elastic-Like and Viscous-Like Components of the Shear Viscosity for Nearly Hard Sphere, Brownian Suspensions , 1997, Journal of colloid and interface science.

[37]  N. Wagner,et al.  The microstructure of polydisperse, charged colloidal suspensions by light and neutron scattering , 1991 .

[38]  Thomas J. Dougherty,et al.  A Mechanism for Non‐Newtonian Flow in Suspensions of Rigid Spheres , 1959 .

[39]  Christopher W. Macosko,et al.  Rheology: Principles, Measurements, and Applications , 1994 .

[40]  P. Lindner,et al.  Rheological and small angle neutron scattering investigation of shear‐induced particle structures of concentrated polymer dispersions submitted to plane Poiseuille and Couette flowa) , 1992 .

[41]  C. Zukoski,et al.  Gap size and shear history dependencies in shear thickening of a suspension ordered at rest , 1995 .

[42]  J. Brady,et al.  Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation , 2000, Journal of Fluid Mechanics.

[43]  J. Brady,et al.  The rheology of Brownian suspensions , 1989 .

[44]  W. Russel,et al.  Hard sphere colloidal dispersions: Viscosity as a function of shear rate and volume fraction , 1985 .

[45]  R. Hoffman Discontinuous and Dilatant Viscosity Behavior in Concentrated Suspensions. I. Observation of a Flow Instability , 1972 .

[46]  C. Zukoski,et al.  Rheology of suspensions of weakly attractive particles: Approach to gelation , 1998 .

[47]  J. Mewis,et al.  Prediction of rheological properties in polymer colloids , 1993 .

[48]  W. Frith,et al.  Shear thickening in model suspensions of sterically stabilized particles , 1996 .

[49]  C. Kruif,et al.  Hard‐sphere Colloidal Dispersions: The Scaling of Rheological Properties with Particle Size, Volume Fraction, and Shear Rate , 1989 .

[50]  C. Zukoski,et al.  Nonequilibrium behavior of dense suspensions of uniform particles: Volume fraction and size dependence of rheology and microstructure , 1995 .

[51]  H. M. Laun,et al.  Rheology of extremely shear thickening polymer dispersionsa) (passively viscosity switching fluids) , 1991 .

[52]  C. Kruif,et al.  The shear-thinning behaviour of colloidal dispersions: II. Experiments , 1989 .

[53]  Jonathan W. Bender,et al.  Reversible shear thickening in monodisperse and bidisperse colloidal dispersions , 1996 .

[54]  Formation of a Highly Ordered Colloidal Microstructure upon Flow Cessation from High Shear Rates. , 1996, Physical review letters.

[55]  C. Kruif,et al.  The shear-thinning behaviour of colloidal dispersions , 1989 .

[56]  N. Wagner,et al.  The Huggins Coefficient for the Square-Well Colloidal Fluid , 1994 .

[57]  Richard L. Hoffman,et al.  Explanations for the cause of shear thickening in concentrated colloidal suspensions , 1998 .

[58]  G. G. Fuller,et al.  Scattering Dichroism Measurements of Flow-Induced Structure of a Shear Thickening Suspension , 1993 .

[59]  Albert P. Philipse,et al.  Preparation and properties of nonaqueous model dispersions of chemically modified, charged silica spheres , 1989 .