Large scale dynamic simulation of plate-like particle suspensions. Part II: Brownian simulation

Meng, Qingjun; Higdon, J. J. L.

doi:10.1122/1.2798237

Cited by 33 publications

(25 citation statements)

References 36 publications

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“…This approach is also frequently used in suspensions of rigid particles [24,25]. In the present work, like in suspensions of rigid particles [24], we not only correct the overlaps but also maintain a minimum gap (δ min ) between the surfaces of two particles. In the present case, we set the minimum gap to a small value of one percent of the (rest) particle diameter; i.e., δ min = 0.02a.…”

Section: Simulation Detailsmentioning

confidence: 98%

Segregation by membrane rigidity in flowing binary suspensions of elastic capsules

Kumar

Graham

2011

Phys. Rev. E

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Spatial segregation in the wall normal direction is investigated in suspensions containing a binary mixture of neo-Hookean capsules subjected to pressure driven flow in a planar slit. The two components of the binary mixture have unequal membrane rigidities. The problem is studied numerically using an accelerated implementation of the boundary integral method. The effect of a variety of parameters was investigated, including the capillary number, rigidity ratio between the two species, volume fraction, confinement ratio, and number fraction of the more floppy particle Xf in the mixture. It was observed that in suspensions of pure species, the mean wall normal positions of the stiff and the floppy particles are comparable. In mixtures, however, the stiff particles were found to be increasingly displaced toward the walls with increasing Xf, while the floppy particles were found to increasingly accumulate near the centerline with decreasing Xf. This segregation behavior was universally observed independent of the parameters. The origin of this segregation is traced to the effect of the number fraction Xf on the localization of the stiff and the floppy particles in the near wall region--the probability of escape of a stiff particle from the near wall region to the interior is greatly reduced with increasing Xf, while the exact opposite trend is observed for a floppy particle with decreasing Xf. Simple model studies on heterogeneous pair collisions involving a stiff and a floppy particle mechanistically explain the contrasting effect of Xf on the near wall localization of the two species. The key observation in these studies is that the stiff particle experiences much larger cross-stream displacement in heterogeneous collisions than the floppy particle. A unified mechanism incorporating the wall-induced migration of deformable particles away from the wall and the particle fluxes associated with heterogeneous and homogeneous pair collisions is presented.

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Section: Simulation Detailsmentioning

confidence: 98%

Segregation by membrane rigidity in flowing binary suspensions of elastic capsules

Kumar

Graham

2011

Phys. Rev. E

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“…[121][122][123][124][125][126] However, recently some progress in this direction has been made with so-called effective geometrical models, 102,109,[127][128][129][130] which quantify some of the ideas expressed in this review on the role of the hydrodynamic volume in determining the rheological behaviour of clay systems. These, and related particle simulations, [131][132][133][134] should form the basis of more rigorous theoretical understanding and modelling of the rheology of clay-based suspensions and gels in the near future.…”

Section: 116mentioning

confidence: 99%

Smectite clay – inorganic nanoparticle mixed suspensions: phase behaviour and rheology

2015

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Smectite clay minerals and their suspensions have long been of both great scientific and applications interest and continue to display a remarkable range of new and interesting behaviour. Recently there has been an increasing interest in the properties of mixed suspensions of such clays with nanoparticles of different size, shape and charge. This review aims to summarize the current status of research in this area focusing on phase behaviour and rheological properties. We will emphasize the rich range of data that has emerged for these systems and the challenges they present for future investigations. The review starts with a brief overview of the behaviour and current understanding of pure smectite clays and their suspensions. We then cover the work on smectite clay-inorganic nanoparticle mixed suspensions according to the shape and charge of the nanoparticles -spheres, rods and plates either positively or negatively charged. We conclude with a summary of the overarching trends that emerge from these studies and indicate where gaps in our understanding need further research for better understanding the underlying chemistry and physics.

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“…First, Fixman [25,26,30,31] has proposed an approximation to σ iα,jβ by a truncated expansion in Chebyshev polynomials, which has a more favorable scaling than Cholesky decomposition. Second, the long-range hydrodynamic interactions can be calculated by Fast Fourier Transforms [32][33][34][35][36][37], or hierarchical multipole expansions [20]. Accelerated Brownian Dynamics and Stokesian Dynamics algorithms scale close to linearly in the number of particles, and their full potential is not yet explored.…”

Section: Brownian Dynamicsmentioning

confidence: 99%

Lattice Boltzmann Simulations of Soft Matter Systems

Dünweg¹,

Ladd²

2008

Advances in Polymer Science

201

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This article concerns numerical simulations of the dynamics of particles immersed in a continuum solvent. As prototypical systems, we consider colloidal dispersions of spherical particles and solutions of uncharged polymers. After a brief explanation of the concept of hydrodynamic interactions, we give a general overview of the various simulation methods that have been developed to cope with the resulting computational problems. We then focus on the approach we have developed, which couples a system of particles to a lattice-Boltzmann model representing the solvent degrees of freedom. The standard D3Q19 lattice-Boltzmann model is derived and explained in depth, followed by a detailed discussion of complementary methods for the coupling of solvent and solute. Colloidal dispersions are best described in terms of extended particles with appropriate boundary conditions at the surfaces, while particles with internal degrees of freedom are easier to simulate as an arrangement of mass points with frictional coupling to the solvent. In both cases, particular care has been taken to simulate thermal fluctuations in a consistent way. The usefulness of this methodology is illustrated by studies from our own research, where the dynamics of colloidal and polymeric systems has been investigated in both equilibrium and nonequilibrium situations.

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Large scale dynamic simulation of plate-like particle suspensions. Part II: Brownian simulation

Cited by 33 publications

References 36 publications

Segregation by membrane rigidity in flowing binary suspensions of elastic capsules

Segregation by membrane rigidity in flowing binary suspensions of elastic capsules

Smectite clay – inorganic nanoparticle mixed suspensions: phase behaviour and rheology

Lattice Boltzmann Simulations of Soft Matter Systems

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