Viscosity of Hard Sphere Suspensions

Phillies, George D. J.

doi:10.1006/jcis.2002.8235

Cited by 7 publications

(13 citation statements)

References 20 publications

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“…A transition is also found near volume fraction 0.4 in the viscosity of hard sphere systems. An analysis of the literature supporting this observation is found in Phillies [30]. The viscosity shows a stretched-exponential increase at lower concentrations and a much sharper power-law increase at larger concentrations.…”

Section: Phenomenological Evidencesupporting

confidence: 53%

“…Preliminary tests against literature data were highly satisfactory. Further tests reported in Temporal Scaling Analysis: Viscoelastic Properties of Star Polymers [27], Temporal Scaling Analysis: Linear and Crosslinked Polymers [28], and Viscosity of Hard Sphere Suspensions [30] were equally satisfactory. In particular, it was confirmed that the predicted forms, with fitted parameters, agreed with Kronig-Kramers relations.…”

Section: The Paper Derivation Of the Universal Scaling Equation Of Th...mentioning

confidence: 86%

“…η(c) of several hydroxypropylcellulose samples shows a stretched-exponential concentration dependence at at smaller c and a power-law concentration dependence at larger c. Phillies and Quinlan showed that the viscosity transition is analytic -the functions and their first derivatives are both continuousat the transition concentration. A later analysis of the literature in Viscosity of Hard Sphere Suspensions [30] shows that hard and soft-sphere suspensions show the same solutionlikemeltlike transition in η(c), at a concentration well below the concentration of the known phase transition, thus demonstrating that the solutionlike-meltlike transition does not arise from topological effects unique to long linear polymers.…”

Section: Brief Description Of Individual Historical Papersmentioning

confidence: 96%

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The Hydrodynamic Scaling Model for the Dynamics of Non-Dilute Polymer Solutions: A Comprehensive Review

Phillies¹

2016

Preprint

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This article presents a comprehensive review of the Hydrodynamic Scaling Model for the dynamics of polymers in dilute and nondilute solutions. The Hydrodynamic Scaling Model differs from some other treatments of non-dilute polymer solutions in that it takes polymer dynamics up to high concentrations to be dominated by solvent-mediated hydrodynamic interactions, with chain crossing constraints presumed to create at most secondary corrections. Many other models take the contrary stand, namely that chain crossing constraints dominate the dynamics of nondilute polymer solutions, while hydrodynamic interactions only create secondary corrections. This article begins with a historical review. We then consider single-chain behavior, in particular the Kirkwood-Riseman model; contradictions between the Kirkwood-Riseman and more familiar Rouse-Zimm models are emphasized. An extended Kirkwood-Riseman model that gives interchain hydrodynamic interactions is developed and applied to generate pseudovirial series for the self-diffusion coefficient and the low-shear viscosity. To extrapolate to large concentrations, rationales based on self-similarity and on the Altenberger-Dahler Positive-Function Renormalization Group are developed and applied to the pseudovirial series for Ds and η. Based on the renormalization group method, a two-parameter temporal scaling ansatz is invoked as a path to determining the frequency dependences of the storage and loss moduli. A short description is given for each of the individual papers that developed the Hydrodynamic Scaling Model. Phenomenological evidence supporting aspects of the model is noted. Finally, directions for future development of the Hydrodynamic Scaling Model are presented.

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Section: Phenomenological Evidencesupporting

confidence: 53%

Section: The Paper Derivation Of the Universal Scaling Equation Of Th...mentioning

confidence: 86%

Section: Brief Description Of Individual Historical Papersmentioning

confidence: 96%

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The Hydrodynamic Scaling Model for the Dynamics of Non-Dilute Polymer Solutions: A Comprehensive Review

Phillies¹

2016

Preprint

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“…The compressed exponential dependence of the macroscopic viscosity of hard-sphere solutions on the concentration was also in agreement with previous Phillies' reports. 37 3 Influence of electrostatic repulsion on the transport properties…”

Section: Scaling Law For Transport Properties Of Colloidal Solutionsmentioning

confidence: 99%

Length-scale dependent transport properties of colloidal and protein solutions for prediction of crystal nucleation rates

et al. 2014

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We propose a scaling equation describing transport properties (diffusion and viscosity) in the solutions of colloidal particles. We apply the equation to 23 different systems including colloids and proteins differing in size (range of diameters: 4 nm to 1 μm), and volume fractions (10(-3)-0.56). In solutions under study colloids/proteins interact via steric, hydrodynamic, van der Waals and/or electrostatic interactions. We implement contribution of those interactions into the scaling law. Finally we use our scaling law together with the literature values of the barrier for nucleation to predict crystal nucleation rates of hard-sphere like colloids. The resulting crystal nucleation rates agree with existing experimental data.

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“…That is, via the fluctuation-dissipation theorem we can extend the Kirkwood-Riseman model from treating a single isolated polymer molecule to treat the hydrodynamic interactions between polymer molecules. Indeed, there is a substantial development of polymer dynamics in non-dilute solutions based on computing the hydrodynamic interactions between polymer coils[16][17][18][19][20][21][22][23][24].…”

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confidence: 99%

The Kirkwood-Riseman Polymer Model of Polymer Dynamics is Qualitatively Correct

Phillies¹

2018

Preprint

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We use Brownian dynamics to show: For an isolated polymer coil, the Kirkwood-Riseman model for chain motion is qualitatively correct. The Rouse model for chain motion is qualitatively incorrect. The models are qualitatively different. Kirkwood and Riseman say polymer coils in a shear field perform wholebody rotation; in the Rouse model rotation does not occur. Our simulations demonstrate that in shear flow:Polymer coils rotate. Rouse modes are cross-correlated. The amplitudes and relaxation rates of Rouse modes depend on the shear rate. Rouse's calculation only refers to a polymer coil in a quiescent fluid, its application to a polymer coil undergoing shear being invalid.

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Viscosity of Hard Sphere Suspensions

Cited by 7 publications

References 20 publications

The Hydrodynamic Scaling Model for the Dynamics of Non-Dilute Polymer Solutions: A Comprehensive Review

The Hydrodynamic Scaling Model for the Dynamics of Non-Dilute Polymer Solutions: A Comprehensive Review

Length-scale dependent transport properties of colloidal and protein solutions for prediction of crystal nucleation rates

The Kirkwood-Riseman Polymer Model of Polymer Dynamics is Qualitatively Correct

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