2021
DOI: 10.1142/s0218348x21500171
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A Fractal Model for Capillary Flow Through a Single Tortuous Capillary With Roughened Surfaces in Fibrous Porous Media

Abstract: In this paper, a fractal model for capillary flow through a single tortuous capillary with roughened surfaces in fibrous porous media is derived. The determined imbibition height and imbibition mass of capillary rise are in satisfying agreement with the existing models reported in the literature. It is found that the imbibition height and imbibition mass of capillary decreases with increasing relative roughness. Besides, it is observed that the equilibrium time in a single tortuous capillary with roughened sur… Show more

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Cited by 174 publications
(85 citation statements)
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“…The most common models for short fiber composites are a modified rule of mixtures [ 45 ], the Hirsch model [ 46 ], and the Halpin–Tsai and Tsai–Pagano models [ 47 , 48 ]. From the theoretic perspective, fractal models are frequently used for the characterization of properties of fiber-reinforced polymer composite such as tensile properties, elastic properties, etc [ 49 ].…”
Section: Introductionmentioning
confidence: 99%
“…The most common models for short fiber composites are a modified rule of mixtures [ 45 ], the Hirsch model [ 46 ], and the Halpin–Tsai and Tsai–Pagano models [ 47 , 48 ]. From the theoretic perspective, fractal models are frequently used for the characterization of properties of fiber-reinforced polymer composite such as tensile properties, elastic properties, etc [ 49 ].…”
Section: Introductionmentioning
confidence: 99%
“…In addition to the experimental investigation on the gas-separation behavior in the thin-film-composite hollow-fiber membranes, the theoretical and modeling studies are also applied for the study of mass transfer through hollow-fiber membranes in literature. Xiao et al [ 37 ] applied a fractal model for the capillary flow through a single tortuous capillary with rough surfaces in fibrous porous media. Ghobadi et al [ 38 ] conducted a 2D mass-transfer simulation model, using computational fluid dynamics (CFD) for separation of CO 2 from a binary gas mixture of CO 2 /CH 4 by means of polytetrafluoroethylene (PTFE) hollow-fiber membrane contactor.…”
Section: Introductionmentioning
confidence: 99%
“…Simultaneously, the micrometre-sized surface structures will be modelled approximately with cubic cells of a regular 3D spatial grid, similarly to the previous study on microdroplets on a grooved solid surface [ 34 ]. Moreover, fractal theory [ 39 , 40 ] will be applied to numerical simulations of fluid motion in a capillary tube—within the framework of macroscopic two-phase fluid dynamics—to study the effect of electrical charge on the nanostructured surface wettability and capillary pressure.…”
Section: Resultsmentioning
confidence: 99%