The flow of fiber suspensions in complex geometries

Lipscomb, G. Glenn; Denn, Morton M.; Hur, Dong-Soo; Boger, David V.

doi:10.1016/0377-0257(88)80023-5

Cited by 330 publications

(223 citation statements)

References 27 publications

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“…In this case the size of the vortex appearing in abrupt contractions depends on the suspension concentration and can be accounted without introducing inertia effects [29].…”

Section: Recirculating Flows Of Complex Fluidsmentioning

confidence: 99%

Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers

Prulière

Ammar

Kissi

et al. 2008

Arch Computat Methods Eng

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. SummaryNumerical modelling of non-Newtonian flows usually involves the coupling between equations of motion characterized by an elliptic character, and the fluid constitutive equation, which defines an advection problem linked to the fluid history. There are different numerical techniques to treat the hyperbolic advection equations. In non-recirculating flows, Eulerian discretizations can give a convergent solution within a short computing time. However, the existence of steady recirculating flow areas induces additional difficulties. Actually, in these flows neither boundary conditions nor initial conditions are known. In this paper we compares different advanced strategies (some of them recently proposed and extended here for addressing complex flows) when they are applied to the solution of the kinetic theory description of a short fiber suspension fluid flows.

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“…In this case the size of the vortex appearing in abrupt contractions depends on the suspension concentration and can be accounted without introducing inertia effects [29].…”

Section: Recirculating Flows Of Complex Fluidsmentioning

confidence: 99%

Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers

Prulière

Ammar

Kissi

et al. 2008

Arch Computat Methods Eng

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“…In the second group of models, particle stress is made explicitly dependent on the microstructure through the consideration of a local conformation tensor that is inspired from the orientation distribution tensor defined for dilute fiber suspensions (see e.g. [25,26]). The conformation tensor, denoted b e in this paper, is a second-order symmetric positive definite tensor describing microstructure anisotropy.…”

Section: Introductionmentioning

confidence: 99%

A new rate-independent tensorial model for suspensions of noncolloidal rigid particles in Newtonian fluids

Ozenda

Saramito

Chambon

2018

Journal of Rheology

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SynopsisWe propose a new, minimal tensorial model attempting to clearly represent the role of microstructure on the viscosity of non-colloidal suspensions of rigid particles. Qualitatively, this model proves capable of reproducing several of the main rheological trends exhibited by concentrated suspensions: anisotropic and fore-aft asymmetric microstructure in simple shear and transient relaxation of the microstructure towards its stationary state. The model includes only few constitutive parameters, with clear physical meaning, that can be identified from comparisons with experimental data. Hence, quantitative predictions of the complex transient evolution of apparent viscosity observed after shear reversals are reproduced for a large range of volume fractions. Comparisons with microstructural data shows that not only the depletion angle, but the pair distribution function, are well predicted. To our knowledge, it is the first time that a microstructure-based rheological model is successfully compared to such a wide experimental dataset.

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“…Lipscomb et al [21] made the rst attempt in devising a simple algebraic model based on the assumption that bers align themselves with the local ow velocity vector. Den Toonder et al [22] adopted this model to study turbulent drag reduction in a pipe caused by polymer additives.…”

Section: Introductionmentioning

confidence: 99%

On the orientation dynamics and viscoelasticity of Brownian rigid disklike particles suspended in a shear flow

Moosaie

2017

Scientia Iranica

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Abstract. In this paper, numerical simulations are employed to study the orientation behavior of a dilute suspension of Brownian rigid disklike particles in a simple shear ow. Also, the viscoelasticity of such a suspension is analyzed by considering the stress budget of the two-phase material. A direct Monte-Carlo simulator as well as the moment approximation approaches with two di erent closure models are used to produce the data. Results are compared by available experimental and analytical data, and a very good agreement is established. After the validation of the simulators, the results are presented and discussed. Di erent P eclet numbers and shape factors of particles are considered and their e ects on various quantities are presented, e.g. particle orientations in space, viscous and elastic contributions to the non-Newtonian stress tensor, etc.

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The flow of fiber suspensions in complex geometries

Cited by 330 publications

References 27 publications

Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers

Recirculating Flows Involving Short Fiber Suspensions: Numerical Difficulties and Efficient Advanced Micro-Macro Solvers

A new rate-independent tensorial model for suspensions of noncolloidal rigid particles in Newtonian fluids

On the orientation dynamics and viscoelasticity of Brownian rigid disklike particles suspended in a shear flow

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