Numerical Simulations of Capillary-Driven Flows in Nonuniform Cross-Sectional Capillaries

Erickson, David; Li, D.; Park, C.B.

doi:10.1006/jcis.2002.8361

Cited by 94 publications

(94 citation statements)

References 20 publications

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“…k is the permeability of each warp and weft bundle depending on the crimp permeability [27]. The crimp permeability is determined by the ratio of the longitudinal fiber bundle thickness to the transverse bundle thickness as shown in Figure 9a as well as the by the permeabilities of the warp and weft bundles in both directions (Equation (4)):…”

Section: Intra-bundle Impregnation Pathmentioning

confidence: 99%

Analytical prediction of void distribution and a minimum-void angle in anisotropic fabrics for radial injection resin transfer molding

Matsuzaki¹,

Naito²,

Seto³

et al. 2016

Express Polym. Lett.

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Abstract. 2D radial injection vacuum-assisted resin transfer molding experiments were performed using anisotropic plainwoven fabrics to determine the void distribution and the relationship between the void fraction and the resin flow velocity at arbitrary resin impregnation angles. The obtained void fraction values vary with the impregnation angle and velocity, while void formation is very difficult at the minimum-void angle oriented in neither the warp nor the weft direction. Moreover, the impregnation in the fabric microscopic structure is characterized by two patterns separated at the minimum-void angle. Based on the experimental results, a mathematical model for predicting the void fraction value at arbitrary impregnation angles and velocities and for calculating the minimum-void angle was developed. A comparison of the model predictions with the experimental results revealed a good agreement between them.

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Section: Intra-bundle Impregnation Pathmentioning

confidence: 99%

Analytical prediction of void distribution and a minimum-void angle in anisotropic fabrics for radial injection resin transfer molding

Matsuzaki¹,

Naito²,

Seto³

et al. 2016

Express Polym. Lett.

View full text Add to dashboard Cite

show abstract

“…Then we examine the model for the two-section tube with numerical results of Erickson et al (2002), who simulated the capillary-driven flow with n ¼ 1 in a convergent tube by the finite element approach. The tube contains two sub-tubes connected by an extremely mild contraction.…”

Section: Resultsmentioning

confidence: 99%

The fastest capillary penetration of power-law fluids

Shou

Fan

2015

Chemical Engineering Science

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“…Experiments showed that the wetting properties of immiscible liquids crucially determine whether the flow pattern in the microchannel is regular or not and whether the drops move continuously with the main stream or intermittently adhere to the channel walls (Dreyfus et al 2003). Erickson et al (2002) studied the wetting behavior of converging-diverging and diverging-converging capillaries numerically by an in-house FE code which uses an interface tracking procedure that is based on the predicted change in the total liquid volume to update the interface location. They found that the surface tension-driven flow is fastest in straight capillaries and any deviation in the capillary diameter along its length will slow down the wetting speed.…”

Section: Contact Lines and Geometrically Or Chemically Patterned Surfmentioning

confidence: 99%

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

Wörner

2012

Microfluid Nanofluid

371

197

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This article presents a comprehensive review of numerical methods and models for interface resolving simulations of multiphase flows in microfluidics and micro process engineering. The focus of the paper is on continuum methods where it covers the three common approaches in the sharp interface limit, namely the volumeof-fluid method with interface reconstruction, the level set method and the front tracking method, as well as methods with finite interface thickness such as color-function based methods and the phase-field method. Variants of the mesoscopic lattice Boltzmann method for two-fluid flows are also discussed, as well as various hybrid approaches. The mathematical foundation of each method is given and its specific advantages and limitations are highlighted. For continuum methods, the coupling of the interface evolution equation with the single-field Navier-Stokes equations and related issues are discussed. Methods and models for surface tension forces, contact lines, heat and mass transfer and phase change are presented. In the second part of this article applications of the methods in microfluidics and micro process engineering are reviewed, including flow hydrodynamics (separated and segmented flow, bubble and drop formation, breakup and coalescence), heat and mass transfer (with and without chemical reactions), mixing and dispersion, Marangoni flows and surfactants, and boiling.

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Numerical Simulations of Capillary-Driven Flows in Nonuniform Cross-Sectional Capillaries

Cited by 94 publications

References 20 publications

Analytical prediction of void distribution and a minimum-void angle in anisotropic fabrics for radial injection resin transfer molding

Analytical prediction of void distribution and a minimum-void angle in anisotropic fabrics for radial injection resin transfer molding

The fastest capillary penetration of power-law fluids

Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications

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