Suspensions of prolate spheroids in Stokes flow. Part 1. Dynamics of a finite number of particles in an unbounded fluid

Claeys, Ivan L.; Brady, John F.

doi:10.1017/s0022112093003465

Cited by 114 publications

(81 citation statements)

References 34 publications

(65 reference statements)

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“…In this example, our results shows a good coincidence compared to the results by Durlofsky et al, [3]. The idea to model a fibre as a chain of particles is compared with the results of Claeys and Brady [12], who simulated the sedimentation of two ellipsoids. Simulations of particle-fibre mixtures shows that the fibres become separated from the particles depending on the density ratio between the fibres and particles and the aspect ratio of the fibres.…”

Section: Results and Conclusionsupporting

confidence: 83%

The Stokesian Dynamics Method and the Settling behaviour of Particle‐Fibre‐Mixtures

Feist

Keller

Dörfler

et al. 2010

Proc Appl Math and Mech

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Sedimentation of fibres and particles can be observed manifold in industrial application. In waste water treatment, the water is clarified from solid particles and fibres utilizing sedimentation. Some filtration processes use fibres as an aid to improve the filtration quality. Finally, in the paper recycling process, one tries to separate cellulose fibres from inorganic particles used as filling material or in printing colours. For all these applications, it is necessary to understand the hydrodynamic interactions between single particles as well as particle and fibre collectives.In the present paper, the sedimentation behaviour of fibres and particles is considered in detail. Mathematic modelling is used to investigate inter particle influences in detail. In particular, a method called Stokesian Dynamics is used to simulate the settling of fibres and particles. The main challenge of the modelling is the dependence of the direction of each fibre on its sedimentation velocity and the different sizes of the particles in a poly-modal particle size distribution. Additionally fibres, particles and the fluid are influencing each other in a significant manner and in a long range. Therefore, while calculating the force on a particle, one has to take into account the influences of many particles.

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Section: Results and Conclusionsupporting

confidence: 83%

The Stokesian Dynamics Method and the Settling behaviour of Particle‐Fibre‐Mixtures

Feist

Keller

Dörfler

et al. 2010

Proc Appl Math and Mech

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“…We followed published methods (Brady and Bossis, where a 1 is a dimensional coefficient, and a 2 is a dimensionless coefficient. e is the minimum separation between two surfaces, which was calculated by the iterative methods proposed (Claeys and Brady, 1993). The separation vector h connects the minimum separation points on the two surfaces.…”

Section: Materials and Experimental Setupmentioning

confidence: 99%

Interaction of two swimming Paramecia

Ishikawa

Hota

2006

Journal of Experimental Biology

126

129

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SUMMARY The interaction between two swimming Paramecium caudatum was investigated experimentally. Cell motion was restricted between flat plates,and avoiding and escape reactions were observed, as well as hydrodynamic interactions. The results showed that changes in direction between two swimming cells were induced mainly by hydrodynamic forces and that the biological reaction was a minor factor. Numerical simulations were also performed using a boundary element method. P. caudatum was modelled as a rigid spheroid with surface tangential velocity measured by a particle image velocimetry (PIV) technique. Hydrodynamic interactions observed in the experiment agreed well with the numerical simulations, so we can conclude that the present cell model is appropriate for describing the motion of P. caudatum.

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“…The minimum separation is calculated using an algorithm described by Claeys and Brady. 10 Because the repulsive force is directed along the line of minimum separation, which does not necessarily pass through the centroid, it can produce an interparticle torque,…”

Section: Simulation Of a Sheared Suspensionmentioning

confidence: 99%

“…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

113

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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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Suspensions of prolate spheroids in Stokes flow. Part 1. Dynamics of a finite number of particles in an unbounded fluid

Cited by 114 publications

References 34 publications

The Stokesian Dynamics Method and the Settling behaviour of Particle‐Fibre‐Mixtures

The Stokesian Dynamics Method and the Settling behaviour of Particle‐Fibre‐Mixtures

Interaction of two swimming Paramecia

Dynamic simulation of flexible fibers composed of linked rigid bodies

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