Thin Porous Media

Abstract

Theoretical, numerical, and experimental research related to thin porous media is of great importance to various industries. Thin porous media definition here includes both geometrically thin porous layers, i.e., whose thickness is much smaller than in-plane dimensions, and physically thin porous layers, i.e., whose thickness is only around one order of magnitude larger than its mean pore size (Qin and Hassanizadeh 2015). Hygiene products, filters, fuel cells, membranes, paper, textiles, biological materials, and manufacturing thin composite parts are some examples. In several of these applications, porous materials are used as very thin and highly porous layers, often as stack of thin layers creating interfaces, and are typically deformable and inhomogeneous both in their structure and in surface energy properties, hence difficult to characterize. Such characteristics present major challenges in experimental studies, theoretical modeling, and numerical simulations. Some critical challenges are the validity of the established geosciences models based on Darcy's law, the consistent definition of the representative elementary volume, the characterization and modeling of the heterogeneities of these materials (both pore structure and surface chemistry) and of their interfaces, the definition of a pore scale model for thin porous media. This special issue builds on the InterPore Industry Workshop on Thin Porous Media that was organized in Prague on May 13, 2014 as part of the 5th International Conference of the B Rodrigo Rosati

Synthesis and in situ functionalization of microfiltration membranes via high internal phase emulsion templating

“…The observed discrepancy may be attributed to the polyHIPE containing the aqueous phase during the compression test. In other words, the mechanical experiments measure the poroelastic properties of the samples. Statistical analysis was carried out in order to see whether there is a significant difference between the Young's moduli of polyHIPEs with different amounts of internal phase.…”

Carreau law for non-newtonian fluid flow through a thin porous media

“…Divergence conditions (36) 2,3,4 and condition (36) 5 follow from Lemma 3.9. To prove that (û, P ) satisfies the momentum equation given in (36), we choose a test function v(x , y) ∈ D(ω;…”

“…). Thus, integrating by parts, the variational formulation (40) is equivalent to the two-pressures generalized Newtonian Stokes problem (36). It remains to prove that π coincides with pressure P .…”

“…Also, the Bingham plastic behavior in the thin porous media Ω ε has been studied in [8,9]. For other studies concerning thin porous media, we refer to Anguiano [3,4,5,6,7], Anguiano and Suárez-Grau [11,12,14], Jouybari and T. S. Lundström [29], Prat and Agaësse [33], Suárez-Grau [35], Yeghiazarian et al [36] and Zhengan and Hongxing [37]. However, as far as we know, in the previous literature there is no study for the homogenization of three-dimensional incompressible stationary Stokes system with a non-linear viscosity following the Carreau law in a thin porous media, as we consider in this article.…”

Investigation of Post-Darcy Flow in Thin Porous Media

“…Fluid flow within a porous layer confined between solid walls is of great importance in a number of natural and industrial applications such as fiber-reinforced composites manufacturing (Nordlund and Lundström 2008;Frishfelds et al 2010;Tan and Pillai 2012), paper making (Lundström et al 2002;Singh et al 2015), microfluidic systems (Jeon and Shin 2009), lubrication of journal bearings (Rao et al 2013;Almqvist et al 2017) and different layers of fuel cells (Qin and Hassanizadeh 2015). Therefore, researchers from a wide range of disciplines have been attracted to conduct analytical, numerical and experimental studies of fluid flow within such porous media which are also known as thin porous media (TPM) (Yeghiazarian et al 2016). According to Fabricius et al (2016), confining walls affect the Stokesian flow within porous media if the walls are within a certain distance; however, two-dimensional arrangements of cylinders can be used to predict the flow within bounding walls outside this range (Gebart 1992;Lundström and Gebart 1995;Hellström et al 2010aHellström et al , 2010bJourak et al 2013).…”