Modeling meniscus rise in capillary tubes using fluid in rigid-body motion approach

Hamdan, Mohammad O.; Abu-Nabah, Bassam A.

doi:10.1016/j.cnsns.2017.11.004

Cited by 6 publications

(2 citation statements)

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“…In practice, porous structures with capillaries of polygonal cross section are abundant in nature as well as in synthesized materials. 9 Therefore, it is essential to investigate fluid displacement under the effect of surface tension and gravity in polygonal capillary tubes since square and polygonal capillary tubes represent some of the smallest units of porous media. 10−12 Analysis of liquid invasion through porous media corners has attracted much attention in various processes/cases such as oil recovery, pharmaceuticals, and biotechnology, especially with the application of microfluidic systems to study fluid flow and transport in porous structures.…”

Section: Introductionmentioning

confidence: 99%

“…Not all the practical porous media prototypes are composed of capillaries with well-rounded spherical cross-sectional area. In practice, porous structures with capillaries of polygonal cross section are abundant in nature as well as in synthesized materials . Therefore, it is essential to investigate fluid displacement under the effect of surface tension and gravity in polygonal capillary tubes since square and polygonal capillary tubes represent some of the smallest units of porous media. − …”

Section: Introductionmentioning

confidence: 99%

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Modeling Approach to Determine Static Rivulet Height in Regular Polygonal Capillary Tubes

et al. 2022

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The rise of partially wetting liquids along the corners of noncircular capillary tubes is observed in many practical science and engineering applications such as wastewater treatment using membranes, remediation, oil recovery from petroleum reservoirs, and blood flow. In this paper, rivulet rise at the corners of polygonal capillary tubes is studied for partially wetting liquids with contact angles below the critical value. The presence of corners changes the distribution of a liquid in an incomplete wetting condition. In this study, geometrical models are proposed to better understand the capillary rise and flow behavior at the corners. A geometrical solution for the capillary rivulet height and profile is derived under gravity in triangular, square, and pentagonal capillary tubes. The effects of several factors including contact angle, number of polygon sides, and liquid properties on the capillary rivulet height are examined. It was found that the ratio of liquid surface tension to density directly affects the corner rise, while it has an inverse relationship with other factors. The maximum rivulet height of 91.6 mm is obtained in the triangular capillary tube with a side length of 1 mm and a contact angle of 30° for polydimethylsiloxane (PDMS-20)-air fluid pair. The minimum capillary rivulet height of 6.2 mm, on the other hand, is achieved in the pentagonal capillary tube, with a side length of 3 mm and a contact angle of 30°. To validate the developed analytical approach, comparisons are made between the model results, literature predictions, and experimental data. In addition, the geometrical model for a square capillary tube is compared with previous published studies, revealing a good agreement. This study provides quantitative results for the influence of capillary tube shape on the flow behavior of fluids in noncircular tubes that can be useful for control and optimization of transport phenomena in corresponding systems.

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Section: Introductionmentioning

confidence: 99%