Model for the Viscosity of Particle Dispersions

[1]  D. Durian,et al.  Foam mechanics at the bubble scale. , 1995, Physical review letters.

[2]  T. Kitano,et al.  Relative viscosities of polymer melts filled with inorganic fillers , 1980 .

[3]  H. M. Princen.  Highly concentrated emulsions. I. Cylindrical systems , 1979 .

[4]  C. R. Wildemuth,et al.  Viscosity of suspensions modeled with a shear-dependent maximum packing fraction , 1984 .

[5]  B. U. Felderhof,et al.  Long‐time self‐diffusion coefficient and zero‐frequency viscosity of dilute suspensions of spherical Brownian particles , 1988 .

[6]  J. Dudowicz,et al.  How far is far from critical point in polymer blends? Lattice cluster theory computations for structured monomer, compressible systems , 1993 .

[7]  R. M. Bradley,et al.  Orientational Order in Amorphous Packings of Ellipsoids , 1994 .

[8]  J. C. H. Affdl,et al.  The Halpin-Tsai Equations: A Review , 1976 .

[9]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[10]  Smith,et al.  Percolation on a self-assembled network: Decoration of polyethylene gels with conducting polymer. , 1990, Physical review letters.

[11]  Chaput,et al.  Crossover from scalar to vectorial percolation in silica gelation. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  D. Ende,et al.  MICRORHEOLOGICAL MODELING OF WEAKLY AGGREGATED DISPERSIONS , 1995 .

[13]  P. G. de Gennes,et al.  On a relation between percolation theory and the elasticity of gels , 1976 .

[14]  Geoffrey Ingram Taylor,et al.  The formation of emulsions in definable fields of flow , 1934 .

[15]  L. Utracki,et al.  Dual phase continuity in polymer blends , 1991 .

[16]  Rintoul,et al.  Metastability and Crystallization in Hard-Sphere Systems. , 1996, Physical review letters.

[17]  Alain Celzard,et al.  Composites based on micron-sized exfoliated graphite particles: Electrical conduction, critical exponents and anisotropy , 1996 .

[18]  N. Maurits,et al.  The dynamic mean-field density functional method and its application to the mesoscopic dynamics of quenched block copolymer melts , 1997 .

[19]  S. G. Mason,et al.  Viscosity of Dilute Suspensions of Thread-like Particles , 1958 .

[20]  W. Bleam.  Atomic theories of phyllosilicates: Quantum chemistry, statistical mechanics, electrostatic theory, and crystal chemistry , 1993 .

[21]  P. Levitz,et al.  Sol–gel transition of colloidal suspensions of anisotropic particles of laponite , 1995 .

[22]  Jacobs,et al.  Generic rigidity percolation in two dimensions. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  N. Maurits,et al.  Mesoscopic phase separation dynamics of compressible copolymer melts , 1997 .

[24]  Stanford R. Ovshinsky,et al.  Physics of Disordered Materials , 1985 .

[25]  G. Maret,et al.  Long‐time self‐diffusion of spherical colloidal particles measured with fluorescence recovery after photobleaching , 1992 .

[26]  W. Cox,et al.  Correlation of dynamic and steady flow viscosities , 1958 .

[27]  W. Russel.  Review of the Role of Colloidal Forces in the Rheology of Suspensions , 1980 .

[28]  J. Hubbard,et al.  Hydrodynamic friction and the capacitance of arbitrarily shaped objects. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[29]  C. Tsenoglou,et al.  Fluidity and optimum packing in suspensions of mixed dissimilar particles , 1990 .

[30]  P. Flory,et al.  Theory of Systems of Rodlike Particles: I. Athermal systems , 1979 .

[31]  James G. Berryman,et al.  Random close packing of hard spheres and disks , 1983 .

[32]  Heaney.  Measurement and interpretation of nonuniversal critical exponents in disordered conductor-insulator composites. , 1995, Physical review. B, Condensed matter.

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

[34]  F. Carmona,et al.  The percolation of fibres with random orientations: a Monte Carlo study , 1983 .

[35]  R. C. Ball,et al.  Universality in colloid aggregation , 1989, Nature.

[36]  W. Burchard.  Polymer characterization: Quasi‐elastic and elastic light scattering , 1988 .

[37]  E. A. Mason,et al.  Why does the Carnahan-Starling equation work so well? , 1989 .

[38]  M. Takayanagi,et al.  Application of the theory of elasticity and viscosity of two-phase systems to polymer blends† , 1966 .

[39]  P. Gennes.  Conjectures on the transition from Poiseuille to plug flow in suspensions , 1979 .

[40]  Bruce J. Ackerson,et al.  Shear induced order and shear processing of model hard sphere suspensions , 1990 .

[41]  Kholodenko,et al.  Generalized Stokes-Einstein equation for spherical particle suspensions. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[42]  Theory of the structures of non-crystalline solids , 1987 .

[43]  J. Piau,et al.  Butterfly Light Scattering Pattern and Rheology of a Sheared Thixotropic Clay Gel , 1997 .

[44]  Ali Nadim,et al.  Rheological Models of Suspensions , 1990 .

[45]  Arbabi,et al.  Critical properties of viscoelasticity of gels and elastic percolation networks. , 1990, Physical review letters.

[46]  Howard Brenner,et al.  Rheology of a dilute suspension of axisymmetric Brownian particles , 1974 .

[47]  A. A. Potanin.  On the mechanism of aggregation in the shear flow of suspensions , 1991 .

[48]  Model for the elasticity of compressed emulsions. , 1996, Physical review letters.

[49]  T. Kitano,et al.  Viscosity of particle filled polymer melts , 1978 .

[50]  T. Kurauchi,et al.  Nylon 6-Clay Hybrid - Synthesis, Properties and Application to Automotive Timing Belt Cover , 1991 .

[51]  R. Pal,et al.  Viscosity/Concentration Relationships for Emulsions , 1989 .

[52]  Emmanuel P. Giannelis,et al.  Structure and Dynamics of Polymer-Layered Silicate Nanocomposites , 1996 .

[53]  A. A. Potanin.  On the computer simulation of the deformation and breakup of colloidal aggregates in shear flow , 1993 .

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

[55]  H. L. Röder,et al.  Dilatancy and its relation to thixotropy , 1938 .

[56]  Geoffrey Ingram Taylor,et al.  The two coefficients of viscosity for an incompressible fluid containing air bubbles , 1954, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[57]  Balberg,et al.  Tunneling and nonuniversal conductivity in composite materials. , 1987, Physical review letters.

[58]  Feng,et al.  Differences between lattice and continuum percolation transport exponents. , 1985, Physical review letters.

[59]  R. Giese.  The Electrostatic Interlayer Forces of Layer Structure Minerals , 1978 .

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

[61]  Kolb,et al.  Crosslinked biopolymers: Experimental evidence for scalar percolation theory. , 1990, Physical review letters.

[62]  G. Vinogradov,et al.  The rheological properties of molten mixtures of polyoxymethylene and copolyamide: Their fibrillation and microstructure , 1975 .

[63]  A. B. Metzner.  Rheology of Suspensions in Polymeric Liquids , 1985 .

[64]  H. Hanley,et al.  A Small Angle Neutron Scattering Study of a Clay Suspension under Shear , 1994 .

[65]  J. Straley,et al.  Distribution-induced non-universality of the percolation conductivity exponents , 1979 .

[66]  F. Bates,et al.  Unifying Weak- and Strong-Segregation Block Copolymer Theories , 1996 .

[67]  A. E. Woodward.  Atlas of Polymer Morphology , 1989 .

[68]  L. Scriven,et al.  Fragile networks and rheology of concentrated suspensions , 1992 .

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

[70]  J. Bernholc,et al.  Nanomechanics of carbon tubes: Instabilities beyond linear response. , 1996, Physical review letters.

[71]  C. Macosko,et al.  Flow-Induced Anisotropic SALS in Silica-Filled PDMS Liquids , 1994 .

[72]  T. Matsuoka,et al.  Dynamic simulation of a platelike particle dispersed system , 1997 .

[73]  B. Gauthier-Manuel,et al.  Critical viscoelastic study of the gelation of silica particles , 1987 .

[74]  Andreas Acrivos,et al.  The constitutive equation for a dilute emulsion , 1970, Journal of Fluid Mechanics.

[75]  R. Prud’homme,et al.  Rheology of oil-in-water emulsions , 1994 .

[76]  Christopher E. Brennen,et al.  Fluid Mechanics of Propulsion by Cilia and Flagella , 1977 .

[77]  Buchalter Bj,et al.  Orientational order in random packings of ellipses , 1992 .

[78]  Goldenfeld,et al.  Dynamic scaling and spontaneous symmetry breaking at the gel point. , 1992, Physical Review A. Atomic, Molecular, and Optical Physics.

[79]  S. G. Mason,et al.  The flow of suspensions through tubes. I. Single spheres, rods, and discs , 1962 .

[80]  R. Vaia,et al.  Lattice model of polymer melt intercalation in organically-modified layered silicates , 1997 .

[81]  F. Gauthier,et al.  The kinetics of flowing dispersions , 1967 .

[82]  A. Kelly,et al.  The random packing of fibres in three dimensions , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[83]  L. Nielsen.  The Thermal and Electrical Conductivity of Two-Phase Systems , 1974 .

[84]  W. Brown,et al.  Static and dynamic behavior of semidilute polymer solutions , 1990 .

[85]  Albert P. Philipse,et al.  The Random Contact Equation and Its Implications for (Colloidal) Rods in Packings, Suspensions, and Anisotropic Powders , 1996 .

[86]  Emmanuel P. Giannelis,et al.  A new strategy for synthesizing polymer-ceramic nanocomposites , 1992 .

[87]  S. G. Mason,et al.  The preparation of uniform emulsions by electrical dispersion , 1958 .

[88]  E. Giannelis,et al.  Rheology of End-Tethered Polymer Layered Silicate Nanocomposites , 1997 .

[89]  A. Boccaccini.  Sintering of glass matrix composites containing Al2O3 platelet inclusions , 1994, Journal of Materials Science.

[90]  D. Cannell,et al.  Restructuring of colloidal silica aggregates. , 1986, Physical review letters.

[91]  Garboczi,et al.  Intrinsic conductivity of objects having arbitrary shape and conductivity. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[92]  T. Kitano,et al.  An empirical equation of the relative viscosity of polymer melts filled with various inorganic fillers , 1981 .

[93]  L. V. Woodcock.  Origins of shear dilatancy and shear thickening phenomena , 1984 .

[94]  K. Freed,et al.  Huggins Coefficient for Polymer Solutions with Excluded Volume , 1977 .

[95]  S. G. Mason,et al.  The kinetics of flowing dispersions: III. Equilibrium orientations of rods and discs (experimental)☆ , 1967 .

[96]  W. Russel.  The Huggins coefficient as a means for characterizing suspended particles , 1984 .

[97]  W. Bond.  LXXXII.Bubbles and drops and Stokes' law , 1927 .

[98]  L. Onsager.  THE EFFECTS OF SHAPE ON THE INTERACTION OF COLLOIDAL PARTICLES , 1949 .

[99]  Leslie H. Sperling,et al.  Polymer Blends and Composites , 1995 .

[100]  Huan-Xiang Zhou,et al.  A Brownian dynamics algorithm for calculating the hydrodynamic friction and the electrostatic capacitance of an arbitrarily shaped object , 1994 .

[101]  Torquato,et al.  Link between the conductivity and elastic moduli of composite materials. , 1993, Physical review letters.

[102]  W. Russel,et al.  The rheology of dilute suspensions of slender rods in weak flows , 1987, Journal of Fluid Mechanics.

[103]  R. G. Cox,et al.  Ordered aggregates of particles in shear flow , 1967, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[104]  R. M. Barrer.  Zeolites and Clay Minerals As Sorbents and Molecular Sieves , 1978 .

[105]  Chen,et al.  Simulation of multicomponent fluids in complex three-dimensional geometries by the lattice Boltzmann method. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[106]  R. Christensen.  Isotropic properties of platelet-reinforced media , 1979 .

[107]  Christopher W. Macosko,et al.  Rheology of Xanthan Gum , 1978 .

[108]  Snyder,et al.  Geometrical percolation threshold of overlapping ellipsoids. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[109]  Shan,et al.  Lattice Boltzmann model for simulating flows with multiple phases and components. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[110]  J. Roovers.  Concentration Dependence of the Relative Viscosity of Star Polymers , 1994 .

[111]  T. S. Chow,et al.  The effect of particle shape on the mechanical properties of filled polymers , 1980 .

[112]  Balberg,et al.  Universal percolation-threshold limits in the continuum. , 1985, Physical review. B, Condensed matter.

[113]  G. Habermehl,et al.  ReviewPure appl. Chem: Rinehart, K. L., et al. Marine natural products as sources of antiviral, antimicrobial, and antineoplastic Agents. 53, 795 (1981). (K. L. Rinehart, University of Illinois, Urbana, IL 61801, U.S.A.) , 1983 .

[114]  R. Heitmiller,et al.  Effect of homogeneity on viscosity in capillary extrusion of polyethylene , 1964 .

[115]  K. Sadananda,et al.  On dispersions of voids as sources of strength , 1991 .

[116]  Glenn H. Fredrickson,et al.  The hydrodynamic stress in a suspension of rods , 1990 .

[117]  M. Muthukumar,et al.  Three-body hydrodynamic effects on viscosity of suspensions of spheres , 1991 .

[118]  J. Douglas.  Shift in polymer blend phase-separation temperature in shear flow , 1992 .

[119]  Claude M. Penchina,et al.  The physics of amorphous solids , 1983 .

[120]  W. Russel,et al.  Structure and breakup of flocs subjected to fluid stresses: II. Theory , 1987 .

[121]  M. Nardin,et al.  Contributiona`l'etude des empilements au hasard de fibres et/ou de particules sphe´riques , 1985 .

[122]  P. R. Sperry,et al.  Effect of microstructure on the viscosity of hard sphere dispersions and modulus of composites , 1994 .

[123]  R. Blanc,et al.  Experiments on 2-D suspensions , 1982 .

[124]  W. Bauer,et al.  THIXOTROPY AND DILATANCY , 1967 .

[125]  P. Flory,et al.  Theory of Systems of RodIike Particles: II. Thermotropic systems with orientation-dependent interactions , 1979 .

[126]  Jozef Bicerano,et al.  Prediction of Polymer Properties , 1996 .

[127]  K. Freed,et al.  Competition between hydrodynamic screening (draining) and excluded volume interactions in an isolated polymer chain , 1994 .

[128]  Masayoshi Okubo,et al.  Makromol Chem-Macromol Symp , 1990 .

[129]  Kalle Levon,et al.  Multiple percolation in conducting polymer blends , 1993 .

[130]  Jean-Pierre Hansen,et al.  Statistical model for the structure and gelation of smectite clay suspensions , 1997 .

[131]  A. Okada,et al.  Preparation and Mechanical Properties of Polypropylene−Clay Hybrids , 1997 .

[132]  J. Zasadzinski,et al.  Topology of multivesicular liposomes, a model biliquid foam , 1996 .

[133]  P. B. Warren,et al.  DISSIPATIVE PARTICLE DYNAMICS : BRIDGING THE GAP BETWEEN ATOMISTIC AND MESOSCOPIC SIMULATION , 1997 .

[134]  G. Taylor.  Analysis of the swimming of microscopic organisms , 1951, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[135]  M. Schick,et al.  Phase Behavior of Ternary Homopolymer/Diblock Blends: Influence of Relative Chain Lengths , 1997 .

[136]  Douglas.  Swelling and growth of polymers, membranes, and sponges. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[137]  A. Maiti,et al.  Structural flexibility of carbon nanotubes , 1996 .

[138]  Shapiro,et al.  Random packings of spheres and fluidity limits of monodisperse and bidisperse suspensions. , 1992, Physical review letters.

[139]  Brisson,et al.  Functional Langevin models for the mesoscopic dynamics of surfactant aggregation in solution. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[140]  B. D. Hughes.  Random Walks and Random Environments, Volume 1: Random Walks.@@@Random Walks and Random Environments, Volume 2: Random Environments. , 1998 .

[141]  S. G. Mason,et al.  Particle motions in sheared suspensions: IX. Spin and deformation of threadlike particles , 1959 .

[142]  P. M. Subramanian.  Permeability barriers by controlled morphology of polymer blends , 1985 .

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

[144]  P. E. Pierce,et al.  Application of ree-eyring generalized flow theory to suspensions of spherical particles , 1956 .

[145]  S. Safran,et al.  Do interactions raise or lower a percolation threshold? , 1985, Physical review letters.

[146]  J. S. Dahler,et al.  A Renormalization Group Calculation of the Viscosity of a Hard-Sphere Suspension , 1997 .

[147]  J. S. Chong,et al.  Rheology of concentrated suspensions , 1971 .

[148]  A. Okagawa,et al.  The kinetics of flowing dispersions. VII. Oscillatory behavior of rods and discs in shear flow , 1973 .

[149]  F. London.  On the Bose-Einstein Condensation , 1938 .

[150]  R. Roscoe,et al.  On the rheology of a suspension of viscoelastic spheres in a viscous liquid , 1967, Journal of Fluid Mechanics.

[151]  Geoffrey Ingram Taylor,et al.  The Viscosity of a Fluid Containing Small Drops of Another Fluid , 1932 .

[152]  H. Pape,et al.  The Role of Fractal Quantities, as Specific Surface and Tortuosities, for physical properties of porous media , 1984 .

[153]  M. Fixman,et al.  Viscosity of Polymer Solutions , 1963 .

[154]  Peter Sollich,et al.  Rheology of Soft Glassy Materials , 1996, cond-mat/9611228.

[155]  A. Celzard,et al.  Anisotropic percolation in an epoxy - graphite disc composite , 1994 .

[156]  David V. Boger,et al.  Yield Stress Measurement for Concentrated Suspensions , 1983 .

[157]  M. Kawaguchi,et al.  Molecular weight dependence of structures and rheological properties for fumed silica suspensions in polystyrene solutions , 1996 .

[158]  R. Prud’homme,et al.  Effect of drop size distribution on the flow behavior of oil-in-water emulsions , 1994 .

[159]  S. S. Manna,et al.  Precise determination of the fractal dimensions of Apollonian packing and space-filling bearings , 1991 .

[160]  J. Israelachvili.  Intermolecular and surface forces , 1985 .

[161]  G. Holden,et al.  Thermoplastic elastomers: A comprehensive review , 1987 .

[162]  Dorothy A. Newton B.Sc..  LXXXII. Bubbles, drops, and Stokes' law. (Paper 2) , 1928 .

[163]  S. Rostami,et al.  Multicomponent polymer systems , 1992 .

[164]  C. Macosko,et al.  Flow-Induced Reactive Self-Assembly , 1997 .

[165]  C. Tsenoglou.  Viscoplasticity of agglomerated suspensions , 1989 .

[166]  A. Celzard,et al.  Critical concentration in percolating systems containing a high-aspect-ratio filler. , 1996, Physical review. B, Condensed matter.

[167]  F. Eirich,et al.  Particle swelling and the viscosity of suspensions , 1946 .

[168]  C. R. Wildemuth,et al.  A new interpretation of viscosity and yield stress in dense slurries: Coal and other irregular particles , 1985 .

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

[170]  George S. Springer,et al.  Thermal Conductivities of Unidirectional Materials , 1967 .

[171]  G. B. Jeffery.  The motion of ellipsoidal particles immersed in a viscous fluid , 1922 .

[172]  C. B. Arends.  Percolation in injection molded polymer blends , 1992 .

[173]  Viscous Flows: The Practical Use of Theory : by Stuart W. Churchill; published by Butterworths, Boston, London, Singapore, Sydney, Toronto, Wellington, 1988; 624 pp.; price, £55; ISBN 0-40 905 185-4 , 1990 .

[174]  S. Bhattacharya,et al.  Rheological study of black coal-oil suspensions , 1984 .

[175]  Shan,et al.  Simulation of nonideal gases and liquid-gas phase transitions by the lattice Boltzmann equation. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[176]  Véronique Favier,et al.  Polymer Nanocomposites Reinforced by Cellulose Whiskers , 1995 .

[177]  J. Kolar̆ík.  Simultaneous prediction of the modulus and yield strength of binary polymer blends , 1996 .

[178]  Douglas,et al.  Hydrodynamic friction of arbitrarily shaped Brownian particles. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[179]  G. Batchelor,et al.  The hydrodynamic interaction of two small freely-moving spheres in a linear flow field , 1972, Journal of Fluid Mechanics.

[180]  N. Street.  The Rheology of Kaolinite suspensions , 1956 .

[181]  S. G. Mason,et al.  The kinetics of flowing dispersions: I. Concentrated suspensions of rigid particles , 1966 .

[182]  John A. Hudson,et al.  Anisotropic effective‐medium modeling of the elastic properties of shales , 1994 .

[183]  R. Vaia,et al.  Polymer Melt Intercalation in Organically-Modified Layered Silicates: Model Predictions and Experiment , 1997 .

[184]  R. Pearson,et al.  The use of microvoids to toughen polymers , 1995 .

[185]  D. R. Schwarzenberger,et al.  The effect of surface films on the slip of substrates , 1959 .

[186]  G. J. Kynch.  The effective viscosity of suspensions , 1954 .

[187]  S. Glotzer,et al.  Mixing Plate-Like and Rod-Like Molecules With Solvent: A Test of Flory-Huggins Lattice Statistics , 1995, Journal of research of the National Institute of Standards and Technology.

[188]  C. Tsenoglou.  Scaling concepts in suspension rheology , 1990 .

[189]  D. C. Cheng.  Measurements on a Negative-Thixotropic Fluid , 1973, Nature.

[190]  T. Hwa,et al.  Crumpled and collapsed conformation in graphite oxide membranes , 1992, Nature.

[191]  L. Fauci.  Interaction of oscillating filaments: a computational study , 1990 .

[192]  J. Goddard,et al.  Nonlinear effects in the rheology of dilute suspensions , 1967, Journal of Fluid Mechanics.