Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions

Claeys, Ivan L.; Brady, John F.

doi:10.1017/s0022112093003477

Cited by 80 publications

(48 citation statements)

References 40 publications

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“…HI are expected to lead to nonlinear contributions in to the zeroshear viscosity. 38,39 The third virial coefficient in the virial expansion of the free energy of hard rods cannot be neglected for rр50. 40,41 It is unclear how this would affect the concentration dependence of the viscosity.…”

Section: Low-shear Viscosity Of the Host Rod Suspensionsmentioning

confidence: 99%

Rotational dynamics of colloidal tracer spheres in suspensions of charged rigid rods

Koenderink

Aarts

Philipse

2003

The Journal of Chemical Physics

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The short-time rotational dynamics of colloidal silica tracer spheres in suspensions of rigid silica rods is investigated, using time-resolved phosphorescence anisotropy, as a function of tracer radius a T , rod volume fraction , and the range Ϫ1 of the double-layer repulsions between the like-charged rods and tracer spheres. A large tracer size a T and a small screening length Ϫ1 appear to maximize hydrodynamic hindrance of tracer diffusion for given . The marked -dependence of the rotational dynamics is primarily determined by the large excluded volumes of the high-aspect ratio rods. Stokes-Einstein-Debye ͑SED͒ scaling of the rotational diffusion coefficients with the inverse viscosity of the rod suspensions holds fairly well, expect for small a T and large Ϫ1 . The ionic strength dependence of deviations from SED scaling is rationalized in terms of an effective hard-rod model with the bare length L replaced by an effective length Lϩ4 Ϫ1 .

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Section: Low-shear Viscosity Of the Host Rod Suspensionsmentioning

confidence: 99%

Rotational dynamics of colloidal tracer spheres in suspensions of charged rigid rods

Koenderink

Aarts

Philipse

2003

The Journal of Chemical Physics

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“…Folgar and Tucker 9 added a rotary diffusion term to Jeffery's equations to represent the influence of mechanical and hydrodynamic interactions on structure evolution. Claeys and Brady [10][11][12] employ a particle-level simulation method, which accurately accounts for hydrodynamic interactions, to examine suspensions of rigid prolate spheroids. Yamane et al 13 simulate the dynamics of rigid cylinders, including a lubrication approximation to hydrodynamic interactions.…”

Section: Introductionmentioning

confidence: 99%

Dynamic simulation of flexible fibers composed of linked rigid bodies

Ross

Klingenberg

1997

The Journal of Chemical Physics

116

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A particle-level simulation method is employed to study the dynamics of flowing suspensions of rigid and flexible fibers. Fibers are modeled as chains of prolate spheroids connected through ball and socket joints. By varying the resistance in the joints, both flexible and rigid fibers can be modeled. Repulsive interactions between fibers are included, but hydrodynamic interactions and particle inertia are neglected in this implementation. The motion of a fiber is determined by solving the translational and rotational equations of motion for each spheroid. Simulations of isolated fibers in shear flow demonstrate that the method can reproduce known dynamical behavior of both rigid and flexible fibers. The transient behavior in the suspension relative viscosity under simple shear flow was also investigated. An oscillatory response similar to the experimental observations of Ivanov et al. was obtained for rigid fibers. Fiber flexibility reduced the period of oscillation, but had little effect on steady-state viscosities. These results verify that rigid and flexible fibers can be modeled with linked rigid prolate spheroids. Modeling fibers with fewer elongated bodies, as opposed to many spheres, significantly reduces computation time and facilitates the study of suspensions of many interacting, long fibers.

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“…The existing numerical studies include those on fluid flow through random arrays of parallel cylinders, suspension of prolate spheroids, and threedimensional regular fiber networks, which all neglect the disorder typical of real 3D fiber webs [17][18][19].…”

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confidence: 99%