Short-time diffusion in concentrated bidisperse hard-sphere suspensions

Wang, Mu; Heinen, Marco; Brady, John F.

doi:10.1063/1.4907594

Cited by 13 publications

(14 citation statements)

References 66 publications

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“…Extension of this work includes improved approximation scheme for various transport properties, 50 investigations of systems with different interaction potentials, e.g., screened electrostatic interactions, and longtime dynamic studies.…”

Section: Discussionmentioning

confidence: 99%

“…A similar decoupling idea was used for studying the translational and rotational diffusivities of permeable particle suspensions. 85 In the companion paper, 50 we have successfully applied Eq. (61) to approximate the bidisperse partial hydrodynamic functions H α β (q) with the monodisperse δγ scheme 47,48 up to φ = 0.4.…”

Section: A Suspension Propertiesmentioning

confidence: 99%

“…46 For example, the δγ-scheme developed by Beenakker and Mazur [47][48][49] incorporates manybody HIs by resuming an infinite subset of the hydrodynamic scattering series from all particles in the suspension. In a companion paper, 50 we introduced a semi-empirical extension of the original monodisperse δγ-scheme to approximate the partial hydrodynamic functions of polydisperse suspensions. The other approach is similar to the virial expansions: explicit computations of the two-body, three-body, etc., HIs lead to polynomial expressions of transport properties in powers of concentration.…”

Section: Introductionmentioning

confidence: 99%

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Short-time transport properties of bidisperse suspensions and porous media: A Stokesian dynamics study

Wang

Brady

2015

The Journal of Chemical Physics

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We present a comprehensive computational study of the short-time transport properties of bidisperse hard-sphere colloidal suspensions and the corresponding porous media. Our study covers bidisperse particle size ratios up to 4 and total volume fractions up to and beyond the monodisperse hard-sphere close packing limit. The many-body hydrodynamic interactions are computed using conventional Stokesian Dynamics (SD) via a Monte-Carlo approach. We address suspension properties including the short-time translational and rotational self-diffusivities, the instantaneous sedimentation velocity, the wavenumber-dependent partial hydrodynamic functions, and the high-frequency shear and bulk viscosities and porous media properties including the permeability and the translational and rotational hindered diffusivities. We carefully compare the SD computations with existing theoretical and numerical results. For suspensions, we also explore the range of validity of various approximation schemes, notably the pairwise additive approximations with the Percus-Yevick structural input. We critically assess the strengths and weaknesses of the SD algorithm for various transport properties. For very dense systems, we discuss in detail the interplay between the hydrodynamic interactions and the structures due to the presence of a second species of a different size. C 2015 AIP Publishing LLC. [http://dx

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Section: Discussionmentioning

confidence: 99%

Section: A Suspension Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Short-time transport properties of bidisperse suspensions and porous media: A Stokesian dynamics study

Wang

Brady

2015

The Journal of Chemical Physics

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“…52,81,82 These coefficients are affected, in particular, by HIs causing a hydrodynamic dragging-along of small particles by larger ones. Size polydispersity is expected to enlarge the particle concentration in the cake and CP layers.…”

Section: Discussionmentioning

confidence: 99%

Ultrafiltration modeling of non-ionic microgels

2015

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Membrane ultrafiltration (UF) is a pressure driven process allowing for the separation and enrichment of protein solutions and dispersions of nanosized microgel particles. The permeate flux and the near-membrane concentration-polarization (CP) layer in this process is determined by advective-diffusive dispersion transport and the interplay of applied and osmotic transmembrane pressure contributions. The UF performance is thus strongly dependent on the membrane properties, the hydrodynamic structure of the Brownian particles, their direct and hydrodynamic interactions, and the boundary conditions. We present a macroscopic description of cross-flow UF of non-ionic microgels modeled as solvent-permeable spheres. Our filtration model involves recently derived semi-analytic expressions for the concentration-dependent collective diffusion coefficient and viscosity of permeable particle dispersions [Riest et al., Soft Matter, 2015, 11, 2821]. These expressions have been well tested against computer simulation and experimental results. We analyze the CP layer properties and the permeate flux at different operating conditions and discuss various filtration process efficiency and cost indicators. Our results show that the proper specification of the concentration-dependent transport coefficients is important for reliable filtration process predictions. We also show that the solvent permeability of microgels is an essential ingredient to the UF modeling. The particle permeability lowers the particle concentration at the membrane surface, thus increasing the permeate flux.

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“…which is obtained by averaging the formula (5). We eliminate the flow v 0 from the equations (24) and (22), which leads to the formula…”

Section: A Scattering Seriesmentioning

confidence: 99%

Generalization of Clausius-Mossotti approximation in application to short-time transport properties of suspensions

Makuch

2015

Phys. Rev. E

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In 1983 Felderhof, Ford and Cohen gave microscopic explanation of the famous Clausius-Mossotti formula for the dielectric constant of nonpolar dielectric. They based their considerations on the cluster expansion of the dielectric constant, which relates this macroscopic property with the microscopic characteristics of the system.In this article, we analyze the cluster expansion of Felderhof, Ford and Cohen by performing its resummation (renormalization). Our analysis leads to the ring expansion for the macroscopic characteristic of the system, which is an expression alternative to the cluster expansion. Using similarity of structures of the cluster expansion and the ring expansion, we generalize (renormalize) the Clausius-Mossotti approximation. We apply our renormalized Clausius-Mossotti approximation to the case of the short-time transport properties of suspensions, calculating the effective viscosity and the hydrodynamic function with the translational self-diffusion and the collective diffusion coefficient. We perform calculations for monodisperse hard-sphere suspensions in equilibrium with volume fraction up to 45%. To assess the renormalized Clausius-Mossotti approximation, it is compared with numerical simulations and the Beenakker-Mazur method. The results of our renormalized Clausius-Mossotti approximation lead to comparable or much less error (with respect to the numerical simulations), than the Beenakker-Mazur method for the volume fractions below φ ≈ 30% (apart from a small range of wave vectors in hydrodynamic function). For volume fractions above φ ≈ 30%, the Beenakker-Mazur method gives in most cases lower error, than the renormalized Clausius-Mossotti approximation. * Karol.Makuch@fuw.edu.pl

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Short-time diffusion in concentrated bidisperse hard-sphere suspensions

Cited by 13 publications

References 66 publications

Short-time transport properties of bidisperse suspensions and porous media: A Stokesian dynamics study

Short-time transport properties of bidisperse suspensions and porous media: A Stokesian dynamics study

Ultrafiltration modeling of non-ionic microgels

Generalization of Clausius-Mossotti approximation in application to short-time transport properties of suspensions

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