Stokes flow through microstructural model of fibrous media

Hellou, Mustapha; Martinez, J.; Yazidi, Mohamed El

doi:10.1016/s0093-6413(03)00081-8

Cited by 18 publications

(6 citation statements)

References 9 publications

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“…Numerous researchers have worked on the analytical prediction of the permeability for fibrous porous media [4,5,[12][13][14][15][16][17]. However, the reported models so far were complex and indirect.…”

Section: Introductionmentioning

confidence: 99%

A difference-fractal model for the permeability of fibrous porous media

2010

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Section: Introductionmentioning

confidence: 99%

A difference-fractal model for the permeability of fibrous porous media

2010

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“…The specific permeabilities of the test models were quantified using correlations provided in the literature. For models of rods of radius r, distance between rod centers l, the following relations [10,25,26] were used for solid volume fractions ϕ Equation (11) was used for non-staggered models of ϕ = 0.06, and Eq. (12) was used for non-staggered models of ϕ ≥ 0.12.…”

Section: Interfacial Flow Characterizationmentioning

confidence: 99%

Experimental investigation of porous medium structural effects on a coupled porous media-free zone laminar flow

Arthur

2019

SN Appl. Sci.

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An experimental research program was conducted to investigate the effects of solid volume fraction, arrangement of rods, and rod shape on slow flow through and over two-dimensional model porous media. The porous media were modeled using in-line and staggered arrays of rods of circular and square cross-sections to cover a range of solid volume fraction of 0.06 to 0.49. Each model was installed into a test section so as to fill three-quarters of the total depth of the flow section; and the flow was driven through the test section by pressure. Using a refractive-index matched viscous fluid, the bulk Reynolds numbers for the respective test conditions were kept considerably lower than unity. Particle image velocimetry measurements were made across the streamwise-transverse plane of the test section. Results indicate that the flow through the free zone increases from 75% to nearly 100% as the solid volume fraction increases from 0.06 to 0.49. While the bulk distribution is independent of the shape of the rods, or the mode of arrangement, at the interface, penetration of the free flow is dependent on the solid volume fraction and arrangement of rods. The interfacial flow is predicted by a new formulation from which a boundary condition is derived which unlike others in the literature, is devoid of jumps at the interface. This work provides detailed experimental data and important predictive tools for validations of theoretical and numerical work.

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“…13. The effect of the deformation parameter is very less on the volume flow Q 0 coming inside the deformed porous cylinder, which can be observed from Hellou et al (2004) have analyzed viscous flow through a two-dimensional model of fibrous media considering as array of cylindrical fibres on a triangular lattice. They observed that two families of flow structure can be found according to the shape of the streamlines depending on the shape of the pore space given by open streamlines outlining the cylinders and with both the open and closed streamlines.…”

Section: Volume Flowmentioning

confidence: 99%

Potential Flow Past a Slightly Deformed Porous Circular Cylinder

Bhattacharya

Sekhar

2009

Transp Porous Med

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A uniform potential flow past a porous circular cylinder with a core of different permeability is discussed. The porous circular cylinder is slightly deformed whose radius is r = r 1 (1 + cos mθ), where | | 1 and m is a positive integer. Here r , θ are the polar coordinates and r 1 is the characteristic radius of the cylinder. The drag force exerted by the exterior flow on the surface of the cylinder is calculated and it depends on the thickness of the porous material and on the permeabilities of the two porous regions. As special cases, porous cylinder with hollow core, rigid core, and deformed cylinder is discussed.

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Stokes flow through microstructural model of fibrous media

Cited by 18 publications

References 9 publications

A difference-fractal model for the permeability of fibrous porous media

A difference-fractal model for the permeability of fibrous porous media

Experimental investigation of porous medium structural effects on a coupled porous media-free zone laminar flow

Potential Flow Past a Slightly Deformed Porous Circular Cylinder

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