Simulation of single fiber dynamics

Skjetne, Paal; Ross, Robert T.; Klingenberg, Daniel J.

doi:10.1063/1.474561

Cited by 91 publications

(83 citation statements)

References 21 publications

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“…Comparisons of rigid and flexible fiber motions with a variety of existing theoretical and experimental results will appear in a future publication. 25 The prevalent features of dynamics of isolated fibers are thus qualitatively reproduced by the linked-rigid-body model for both flexible and rigid fibers. In the next section, we examine the behavior of suspensions of these fibers, focusing on the rheological properties.…”

Section: ͑37͒mentioning

confidence: 76%

Dynamic simulation of flexible fibers composed of linked rigid bodies

Ross

Klingenberg

1997

The Journal of Chemical Physics

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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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Section: ͑37͒mentioning

confidence: 76%

Dynamic simulation of flexible fibers composed of linked rigid bodies

Ross

Klingenberg

1997

The Journal of Chemical Physics

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116

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“…The deformation increased with the fibre length. In the past decades, this fibre buckling has been analysed using slender body hydrodynamics [20][21][22], bead models of the fibre that neglect hydrodynamic interaction of fibre segments [23] and computational models that couple the fluid equations with the fibre forces [24][25][26]. Below we will examine buckling in our fibre models, but first we will introduce the non-dimensional parameters that govern this elastic-hydrodynamic system.…”

Section: Semiflexible Fibres In Shear Flowmentioning

confidence: 99%

Hydrodynamics of diatom chains and semiflexible fibres

Nguyen

Fauci

2014

J. R. Soc. Interface.

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Diatoms are non-motile, unicellular phytoplankton that have the ability to form colonies in the form of chains. Depending upon the species of diatoms and the linking structures that hold the cells together, these chains can be quite stiff or very flexible. Recently, the bending rigidities of some species of diatom chains have been quantified. In an effort to understand the role of flexibility in nutrient uptake and aggregate formation, we begin by developing a three-dimensional model of the coupled elastic -hydrodynamic system of a diatom chain moving in an incompressible fluid. We find that simple beam theory does a good job of describing diatom chain deformation in a parabolic flow when its ends are tethered, but does not tell the whole story of chain deformations when they are subjected to compressive stresses in shear. While motivated by the fluid dynamics of diatom chains, our computational model of semiflexible fibres illustrates features that apply widely to other systems. The use of an adaptive immersed boundary framework allows us to capture complicated buckling and recovery dynamics of long, semiflexible fibres in shear.

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“…In such simulations, model fiber equations are usually constructed for a single or small population of fibers and consist of the equations of forces and torques that evolve the particles and fiber configurations over time. Many authors use direct simulations to try and explore phenomena believed to be of interest, such as long and short range hydrodynamic effects, flexibility, Coulombic forces, and frictional forces, for example, see the work of Matsuoka (1993, 1995), Skjetne et al (1997), and Joung et al (2001). Direct simulations, however, are currently very limited in their application to real processing flows due to the high computational resources needed to use them.…”

Section: Introductionmentioning

confidence: 99%

Using startup of steady shear flow in a sliding plate rheometer to determine material parameters for the purpose of predicting long fiber orientation

Ortman¹,

Baird²,

Wapperom³

et al. 2012

Journal of Rheology

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SynopsisThe properties of long glass fiber reinforced parts, such as those manufactured by means of injection molding and compression molding, are highly dependent on the fiber orientation generated during processing. A sliding plate rheometer was used to understand the transient stress and orientation development of concentrated long glass fibers during the startup of steady shear flow. An orientation model and stress tensor combination, based on semiflexible fibers, was assessed in its ability to predict fiber orientation when using model parameters obtained from the fits of the stress responses. Specifically, samples of different initial fiber orientations was subjected to the startup of steady shear flow, and an orientation model based on bead and rod theory was coupled with a derived stress tensor that accounts for the semiflexibility of the fibers to obtain the corresponding model parameters. The results showed the semiflexible orientation model and stress tensor combination, overall, provided improved rheological results as compared to the Folgar-Tucker model when coupled with the stress tensor of Lipscomb et al. [J. Non-Newtonian Fluid Mech. 26, 297-325 (1988)]. Furthermore, it was found that both stress tensors required empirical modification to accurately fit the measured data. Finally, orientation models provided encouraging results when predicting the transient fiber orientation for all initial fiber orientations explored. V C 2012 The Society of Rheology. [http://dx

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Simulation of single fiber dynamics

Cited by 91 publications

References 21 publications

Dynamic simulation of flexible fibers composed of linked rigid bodies

Dynamic simulation of flexible fibers composed of linked rigid bodies

Hydrodynamics of diatom chains and semiflexible fibres

Using startup of steady shear flow in a sliding plate rheometer to determine material parameters for the purpose of predicting long fiber orientation

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