Exuding porous media: deviations from Darcy's law

Lasseux, Didier; Valdés‐Parada, Francisco J.; Thovert, Jean‐François; Mourzenko, V. V.

doi:10.1017/jfm.2020.1081

Cited by 3 publications

(5 citation statements)

References 33 publications

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“…The resultant orientated slit pores account for the enhanced overlap of neighboring pores in film-thickness direction, contributing to the shorter diffusion length and higher flux. According to Darcy's law (Equation ( 3)) [33,34], the flux shows linear dependence on the separation area.…”

Section: Resultsmentioning

confidence: 99%

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Wrinkled CNTs@PLLA Composite Membranes for Enhanced Separation Performance

Chen²,

Yin

et al. 2022

Membranes

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To break the trade-off effect between permeability and selectivity in separation, wrinkled carbon nanotubes@polylactic acid (CNTs@PLLA) composite membranes were successfully fabricated in this work. On pre-deformed PLLA membranes, CNTs were loaded by filtrating their suspension, followed by releasing the PLLA upon heating based on its shape memory effect. The asynchronous deformations of CNTs and PLLA layers produced wrinkled CNTs@PLLA composite membranes. Relative to the reference without wrinkles, the attained wrinkled composite membranes exhibit much higher flux (~12 times) without any loss of rejection ratio during the separation of water-in-hexadecane emulsion. The significant improvement of separation performance can be attributed to the following issues: Firstly, the existence of wrinkles results in higher surface roughness, providing an additional driving force for separation resulting from the enlarged contact-angle difference between water and oil; Secondly, the shrinkage of the supporting PLLA layer during recovery induces the preferred alignment of CNTs along the wrinkle direction, which is the reason for the orientated slit pores with enhanced overlap of neighboring pores in the film-thickness direction; Finally, a wrinkled surface significantly increases the available area for separation. The synergism of the effects discussed above contributes to much higher permeability and comparable selectivity relative to the reference.

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Section: Resultsmentioning

confidence: 99%

“…According to Darcy’s law (Equation (3)) [ 33 , 34 ], the flux shows linear dependence on the separation area.

where A , k , P i , P f , μ and L are the available testing area, coefficient of permeability, pressure of input, pressure of output, viscosity, and diffusion length of fluid, respectively.…”

Section: Resultsmentioning

confidence: 99%

Wrinkled CNTs@PLLA Composite Membranes for Enhanced Separation Performance

Chen²,

Yin

et al. 2022

Membranes

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show abstract

“…The last term on the right-hand side of this last expression is obviously symmetric. Moreover, it can be shown (see [70], Appendix C) that the first is also a symmetric tensor. Consequently, it can be deduced that Eq.…”

Section: Appendix C Symmetry and Positiveness Of 𝗛 𝝁mentioning

confidence: 98%

“…In this appendix, symmetry and positiveness of the apparent permeability tensor, 𝗛 𝜇 , are analyzed, following the same steps as in [51] (section 3.3) and [70] (Appendix C).…”

Section: Appendix C Symmetry and Positiveness Of 𝗛 𝝁mentioning

confidence: 99%

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Macroscopic model for unsteady generalized Newtonian fluid flow in homogeneous porous media

Sánchez-Vargas

Valdés‐Parada

Lasseux

2022

Journal of Non-Newtonian Fluid Mechanics

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Willis coupling in one-dimensional poroelastic laminates

Groby,

Haberman

2024

APL Materials

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We employ the Baker–Campbell–Hausdorff formula to derive closed-form expressions for the effective properties, including emergent Willis coupling, of a one-dimensional heterogeneous poroelastic medium consisting of a periodically repeating two-layer unit-cell. In contrast to the elastic and fluidic analogs, the Willis coupling of this periodic poroelastic medium does not vanish in the low-frequency limit. However, the effective wavenumber and impedance of this asymmetric lamellar material demonstrate symmetric reflection and absorption behavior that is indicative of symmetric structures in the low-frequency limit due to the effect of Darcy’s law on the dynamic effective density, which is inversely proportional to frequency. These closed-form expressions are validated against results obtained by direct numerical evaluation. The scattering coefficients, particularly the two reflection coefficients for incidence from either side of a finite length asymmetric structure, are different at non-zero frequencies but still in the metamaterial limit and are correct when the Willis coupling is included. The results show that asymmetry in poroelastic layers results in direction-dependent absorption coefficients, one of which could be optimized based on layer properties and asymmetry factors. As a consequence, the frequency range of validity of these scattering coefficients is wider when the Willis coupling matrix is accounted for than in its absence. This work paves the way for better control of elastic and acoustic waves in multiphase materials by considering poroelastic behavior.

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Exuding porous media: deviations from Darcy's law

Abstract: Abstract

Cited by 3 publications

References 33 publications

Wrinkled CNTs@PLLA Composite Membranes for Enhanced Separation Performance

Wrinkled CNTs@PLLA Composite Membranes for Enhanced Separation Performance

Macroscopic model for unsteady generalized Newtonian fluid flow in homogeneous porous media

Willis coupling in one-dimensional poroelastic laminates

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