Computation of Permeability of Textile with Experimental Validation for Monofilament and Non Crimp Fabrics

Verleye, Bart; Klitz, Margrit; Croce, Roberto; Roose, Dirk; Lomov, Stepan Vladimirovitch; Verpoest, Ignace

doi:10.1007/978-3-540-70658-8_6

Cited by 9 publications

(7 citation statements)

References 21 publications

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“…It is chosen here to use a regular grid because it allows using the freely available finite difference Navier-Stokes solver NaSt3DGP of the Institute for Numerical Simulation (INS) in Bonn (Griebel et al 1998). This solver was adapted to a Stokes solver by Verleye et al (2007. The cells in the grid are parallel to the link connecting the two nodes (Fig.…”

Section: Solution Of the Stokes Equationsmentioning

confidence: 99%

An Improved Pore Network Model for the Computation of the Saturated Permeability of Porous Rock

et al. 2010

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A model to estimate the permeability of a porous sample based on a 3D image of its pore space, obtained by X-ray computed tomography (CT) and applying a threshold algorithm on the CT image, is developed. Computational fluid dynamics (CFD) can be used to directly compute the saturated fluid flow in a sample. This is called the direct method. The direct method is relatively accurate, but computationally very expensive. Therefore, a new pore network approach is presented. Pore networks simplify the pore space to a network of nodes that are hydraulically connected by links. A finite difference CFD method is then applied to simulate the fluid flow inside the links and to compute the local permeability values of the links in the network according to Darcy's law. As these links are relatively small, this demands less computational resources than a CFD simulation on the whole sample. Once the local permeabilities in the network are known, the permeability of the entire network can be calculated.

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Section: Solution Of the Stokes Equationsmentioning

confidence: 99%

An Improved Pore Network Model for the Computation of the Saturated Permeability of Porous Rock

et al. 2010

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“…Specifically, NCF reinforcements are deformed when they are compacted into the mold during the preforming process. For multilayered preforms, the interaction between adjacent fabric layers intensifies and the tows in adjacent fabric layers push each other, which directly affects the global permeability [12,[18][19][20][21][22][23][24][25][26][27]. Therefore, permeability computation methods have related the geometry models to the geometrical perturbations due to deformation.…”

Section: Introductionmentioning

confidence: 99%

Study of Compaction Properties and Permeability Prediction of Multilayered Quadriaxial Non-Crimp Fabric in Liquid Composite Molding Process

et al. 2020

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A systematic experimental study was performed to detect the compaction and permeability properties of multilayered biaxial and quadriaxial preforms under vacuum pressure. Compression response on ply level showed that the degree of nesting between quadriaxial NCF was more pronounced and the nesting deformation mechanism was affected by the interaction with stitch yarns. Owing to the meso-channels in the fibrous structure and the nesting between layers, the in-plane permeability of quadriaxial NCF did not follow an inverse proportion relationship with the fiber volume fraction. To predict the in-plane permeability of multilayered quadriaxial NCFs, unit cell models at a high level of geometrical details were built, including local variations in yarn cross-sections and the nesting deformation between layers. Numerical methods were implemented, and the prediction results were in very good agreement with the experimental data. Besides, the major contributing parameters to the enhancement of the in-plane permeabilities were identified by investigating the correlation between permeability and structural parameters of quadriaxial NCF. The modeling methodology and the principles established can be applied to the design of the quadriaxial NCF fabrics, where the permeability enhancement was evidenced.

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“…Sophisticated finite difference discretizations have long since been able to produce both theoretically and experimentally verified results and handle arbitrary topological changes (e.g., coalescence of bubbles) with local mass conservation . Although there are some promising approaches to complicated domains in , these were performed with first‐order approximations at the boundary nodes and without any adaptive mesh refinement.…”

Section: Introductionmentioning

confidence: 99%

“…Although there are some promising approaches to 270 F. HEIMANN ET AL. complicated domains in [4,5], these were performed with first-order approximations at the boundary nodes and without any adaptive mesh refinement.…”

Section: Introductionmentioning

confidence: 99%

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An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow

Heimann¹,

Engwer²,

Ippisch³

et al. 2012

Numerical Methods in Fluids

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SUMMARY A discontinuous Galerkin method for the solution of the immiscible and incompressible two‐phase flow problem based on the nonsymmetric interior penalty method is presented. Therefore, the incompressible Navier–Stokes equation is solved for a domain decomposed into two subdomains with different values of viscosity and density as well as a singular surface tension force. On the basis of a piecewise linear approximation of the interface, meshes for both phases are cut out of a structured mesh. The discontinuous finite elements are defined on the resulting Cartesian cut‐cell mesh and may therefore approximate the discontinuities of the pressure and the velocity derivatives across the interface with high accuracy. As the mesh resolves the interface, regularization of the density and viscosity jumps across the interface is not required. This preserves the local conservation property of the velocity field even in the vicinity of the interface and constitutes a significant advantage compared with standard methods that require regularization of these discontinuities and cannot represent the jumps and kinks in pressure and velocity. A powerful subtessellation algorithm is incorporated to allow the usage of standard time integrators (such as Crank–Nicholson) on the time‐dependent mesh. The presented discretization is applicable to both the two‐dimensional and three‐dimensional cases. The performance of our approach is demonstrated by application to a two‐dimensional benchmark problem, allowing for a thorough comparison with other numerical methods. Copyright © 2012 John Wiley & Sons, Ltd.

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Computation of Permeability of Textile with Experimental Validation for Monofilament and Non Crimp Fabrics

Cited by 9 publications

References 21 publications

An Improved Pore Network Model for the Computation of the Saturated Permeability of Porous Rock

An Improved Pore Network Model for the Computation of the Saturated Permeability of Porous Rock

Study of Compaction Properties and Permeability Prediction of Multilayered Quadriaxial Non-Crimp Fabric in Liquid Composite Molding Process

An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow

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