Numerical Research on the Fiber Suspensions in a Turbulent T-shaped Branching Channel Flow

Zhang, Shanliang; Lin, Jianzhong; Zhang, Weifeng

doi:10.1016/s1004-9541(07)60030-5

Cited by 12 publications

(4 citation statements)

References 26 publications

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“…While several studies have been devoted to fiber level simulations, so far no Jeffery like wall effect model is available [2]. The need for such models is obvious, see [11] where a phenomenological recoiling model is proposed. The slow-down of Jeffery's orbits has been considered phenomenologically in the reduced strain closure model, cf.…”

Section: Introductionmentioning

confidence: 99%

Simple Models for Wall Effect in Fiber Suspension Flows

Ozolins

Strautins

2014

Mathematical Modelling and Analysis

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Jeffery's equation describes the dynamics of a non-inertial ellipsoidal particle immersed in a Stokes liquid and is used in various models of fiber suspension flow. However, it is not valid in close neighbourhood of a rigid wall. Geometrically impossible orientation states with the fiber penetrating the wall can result from this model. This paper proposes a modification of Jeffery's equation in close proximity to a wall so that the geometrical constraints are obeyed by the solution. A class of models differing in the distribution between the translational and rotational part of the response to the contact is derived. The model is upscaled to a Fokker–Planck equation. Another microscale model is proposed where recoiling from the wall upon the collision is permitted. Numerical examples illustrate the dynamics captured by the models.

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Section: Introductionmentioning

confidence: 99%

Simple Models for Wall Effect in Fiber Suspension Flows

Ozolins

Strautins

2014

Mathematical Modelling and Analysis

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“…Other than the translational movement, the rotation of a fiber has received investigation long ago [1]. Since then, a lot of research works have been done on the orientation of fibers in various flows [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. The other aspect is to investigate the new properties of flows caused by the addition of fibers.…”

Section: Introductionmentioning

confidence: 99%

Direct Numerical Simulation of Concentration and Orientation Distribution of Fibers in a Mixing Layer

Zhou¹,

Yang²,

et al. 2013

Abstract and Applied Analysis

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The concentration and orientation of suspended fibers in a mixing layer are investigated numerically. Two cases (diffusive and nondiffusive) are investigated for the fiber concentration distribution. The fine structures of the instantaneous distributions under these two cases are very different due to molecular diffusion. Sharp front of concentration is observed in the nondiffusive case. However, there is no obvious difference in the mean concentration between the two cases. With regard to the orientation, a fiber may rotate periodically or approach an asymptotic orientation, which is determined by a determinant defined with the stain rate. The symmetric part of the strain rate tends to make a fiber align to an asymptotic orientation, while the antisymmetric part drives a fiber to rotate. When a fluid parcel passes through a region with relatively high shear rate, fibers carried by the fluid parcel are most likely to rotate incessantly. On the other hand, in the region of relatively high extension rate, fibers tend to align to some asymptotic orientation. Generally, fibers tend to align with the shear plane. This fact has significant implications in predicting the rheological properties of fiber suspension flows.

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“…The following assumptions were imposed in the formulation of the problem solving based on the characteristics of the flow: incompressible, continuum, no-slip boundary condition, a fully developed convection with constant fluid properties (H 2 O water) in the upstream region. The governing equations include continuity, momentum, and energy equations, which obey the principle of conservation that can be expressed in the following general form, (1) ρ is the density, φ is the dependent variable, is the velocity vector, is the effective diffusion coefficient, and S φ is the source term. The diffusion-convection term of Eq.…”

Section: Numerical Simulationmentioning

confidence: 99%

“…Zhang and Lin [1], discussed the concentration and orientation of fiber in a turbulent T-shaped branching channel flow. They announced that, at low Reynolds number, fiber concentration was high in the flow separation regions and fiber orientation throughout the channel was widely distributed with a slight preference of aligning along the horizontal axis.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Size Effects to the Mixing Performance on the X-shaped Micro-Channels

Torii

2011

The International Journal of Multiphysics

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Numerical Research on the Fiber Suspensions in a Turbulent T-shaped Branching Channel Flow

Cited by 12 publications

References 26 publications

Simple Models for Wall Effect in Fiber Suspension Flows

Simple Models for Wall Effect in Fiber Suspension Flows

Direct Numerical Simulation of Concentration and Orientation Distribution of Fibers in a Mixing Layer

Investigation of Size Effects to the Mixing Performance on the X-shaped Micro-Channels

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