Differential spontaneous capillary flow through heterogeneous porous media

Bal, Kausik; Fan, Jintu; Sarkar, Manas Kumar; Ye, Lin

doi:10.1016/j.ijheatmasstransfer.2011.02.048

Cited by 25 publications

(17 citation statements)

References 30 publications

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“…This classical result has been found to be valid for both unidirectional and radial capillary penetration in porous media [22][23][24][25], and is further extended to the hemispherical penetration in a semi-infinite porous medium [26] and imbibition in structured porous media with axially variable geometries [27]. However, recent studies have also indicated that this simple model is not applicable for some complex cases, such as flow processes in heterogeneous and random porous media, and some other effects, e.g., fractal and disorder, should be incorporated into the analysis [28][29][30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Tuning capillary penetration in porous media: Combining geometrical and evaporation effects

Liu

Gan

et al. 2018

International Journal of Heat and Mass Transfer

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Capillary penetration of liquids in porous media is of great importance in many applications and the ability to tune such penetration processes is increasingly sought after. In general, liquid penetration can be retarded or restricted by the evaporation of volatile liquid at the surface of the porous media. Moreover, when capillary penetration occurs in a porous layer with non-uniform cross section, the penetration process can be accelerated or impeded by adjusting the section geometry. In this work, on the basis of Darcy's Law and mass conservation, a theoretical model of capillary penetration combining evaporation effects in two-dimensional homogeneous porous media of varying cross-section is developed and further examined by numerical simulations. The effects of sample geometry and liquid evaporation on capillary penetration are quantitatively analyzed. Results show that the penetration velocity is sensitive to the geometry of the porous layer, and can be tuned by varying the evaporation rate for a given geometry. Under given evaporation conditions, penetration is restricted to a limited region with a predictable boundary. Furthermore, we find that the inhibition of liquid penetration by evaporation can be offset by varying the geometry of the porous layer. In addition, the theoretical model is further extended to model the capillary flow in three-dimensional porous media, and the interplay of geometry and evaporation during the capillary flow process in 3D conditions is also investigated. The results obtained can be used for facilitating the design of porous structures, achieving tunable capillary penetration for practical applications in various fields.

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Section: Introductionmentioning

confidence: 99%

Tuning capillary penetration in porous media: Combining geometrical and evaporation effects

Liu

Gan

et al. 2018

International Journal of Heat and Mass Transfer

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show abstract

“…Cai et al (2010) extended Washburn's equation to characterize the process of water absorption in a porous medium. Some efforts have been made to characterize fluid flow in heterogeneous cross sections (Bal et al 2011;Reyssat et al 2008;Shou et al 2014;Xiao et al 2012). Mark et al (2012) stated that accurately estimating the capillary radius is essential for closely understanding and describing wicking phenomena.…”

Section: Introductionmentioning

confidence: 99%

Engineering microfluidic papers: determination of fibre source and paper sheet properties and their influence on capillary-driven fluid flow

2016

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“…The upper layer of agarose gel models has nanoscale pores that are invisible in X-ray images (e 1 ,e 2 ). 12 The average distance (6 standard error) between pores in the porous hydrogel models Figs. 4(a), 4(b), 4(c), and 4(d) is 1436 (676) lm, 1243 (6107) lm, 1028 (655) lm, and 796 (631) lm, respectively.…”

Section: B Double-layered Porous Agarose Gelmentioning

confidence: 99%

“…The capillary flow through multi-layered porous layers, such as packed beds of particles or absorbent materials, has been widely investigated experimentally and theoretically. [9][10][11][12][13][14][15] Reyssat et al, studied the imbibition of a wetting fluid into layers of packed beads 13 and Shou et al, studied the geometry induced asymmetric capillary flow to obtain the optimal geometry for fastest flow absorption. 10,11 However, little attention has been paid to the mass transport through multilayered porous structure by chemical potential difference.…”

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confidence: 99%

Structural design of a double-layered porous hydrogel for effective mass transport

Kim

Huh

et al. 2015

Biomicrofluidics

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Mass transport in porous materials is universal in nature, and its worth attracts great attention in many engineering applications. Plant leaves, which work as natural hydraulic pumps for water uptake, have evolved to have the morphological structure for fast water transport to compensate large water loss by leaf transpiration. In this study, we tried to deduce the advantageous structural features of plant leaves for practical applications. Inspired by the tissue organization of the hydraulic pathways in plant leaves, analogous double-layered porous models were fabricated using agarose hydrogel. Solute transport through the hydrogel models with different thickness ratios of the two layers was experimentally observed. In addition, numerical simulation and theoretical analysis were carried out with varying porosity and thickness ratio to investigate the effect of structural factors on mass transport ability. A simple parametric study was also conducted to examine unveiled relations between structural factors. As a result, the porosity and thickness ratio of the two layers are found to govern the mass transport ability in double-layered porous materials. The hydrogel models with widely dispersed pores at a fixed porosity, i.e., close to a homogeneously porous structure, are mostly turned out to exhibit fast mass transport. The present results would provide a new framework for fundamental design of various porous structures for effective mass transport. V C 2015 AIP Publishing LLC. [http://dx

show abstract

Differential spontaneous capillary flow through heterogeneous porous media

Cited by 25 publications

References 30 publications

Tuning capillary penetration in porous media: Combining geometrical and evaporation effects

Tuning capillary penetration in porous media: Combining geometrical and evaporation effects

Engineering microfluidic papers: determination of fibre source and paper sheet properties and their influence on capillary-driven fluid flow

Structural design of a double-layered porous hydrogel for effective mass transport

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