Similarity of sharp-edged porous media

Smeulders, David; Hassel, van Rr René; Dongen, van Meh Rini; Jansen, Jkm Jozef

doi:10.1016/0020-7225(94)90050-7

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…It was shown that α(ω) = α ∞ − [ib(ω)/ωφρ f ]. A thorough theoretical and experimental description of these phenomena was given by Lévy (1979), Auriault (1980), Auriault, Borne & Chambon (1985), Johnson, Koplik & Dashen (1987), Smeulders, Eggels & van Dongen (1992b) and Smeulders et al (1994). The solution of (3.5) and (3.6) is given byv m = A m exp(−ikz), where k is the wavenumber and A m is an arbitrary constant.…”

Section: Plane Wave Propagationmentioning

confidence: 99%

Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

Smeulders

Dongen

1997

J. Fluid Mech.

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The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas-liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.

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Section: Plane Wave Propagationmentioning

confidence: 99%

Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

Smeulders

Dongen

1997

J. Fluid Mech.

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“…These morphologies had in common that they were smooth on the pore scale, i.e., the pore surface had bounded curvature. The possibility of departure from the structure function f for corrugated morphologies was investigated by several authors such as Kostek et al, 9 Smeulders et al, 10 Firdaouss et al, 11 and Cortis and Smeulders. 12 It appeared that high values for 1 ϫ 2 could be reached for special cases, but these investigations still did not consider any comparison over the frequency domain.…”

Section: ͑3͒mentioning

confidence: 99%

Influence of pore roughness on high-frequency permeability

et al. 2003

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The high-frequency behavior of the fluid velocity patterns for smooth and corrugated pore channels is studied. The classical approach of Johnson et al. ͓J. Fluid Mech. 176, 379 ͑1987͔͒ for smooth geometries is obtained in different manners, thus clarifying differences with Sheng and Zhou ͓Phys. Rev. Lett. 61, 1591 ͑1988͔͒ and Avellaneda and Torquato ͓Phys. Fluids A 3, 2529 ͑1991͔͒. For wedge-shaped pore geometries, the classical approach is modified by a nonanalytic extension proposed by Achdou and Avellaneda ͓Phys. Fluids A 4, 2561 ͑1992͔͒. The dependency of the nonanalytic extension on the apex angle of the wedge was derived. Precise numerical computations for various apex angles in two-dimensional channels confirmed this theoretical dependency, which is somewhat different from the original Achdou and Avellaneda predictions. Moreover, it was found that the contribution of the singularities does not alter the parameters of the classical theory by Johnson et al.

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On the viscous length scale of wedge-shaped porous media

Cortis

Smeulders

2001

International Journal of Engineering Science

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Similarity of sharp-edged porous media

Cited by 5 publications

References 13 publications

Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

Influence of pore roughness on high-frequency permeability

On the viscous length scale of wedge-shaped porous media

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