Fractal imbibition in Koch's curve-like capillar tubes | Zendy

Didier Samayoa | Zendy; Liliana Álvarez Romero | Zendy; Lilián Aurora Ochoa Ontiveros | Zendy; Lucero Priscila Damian Adame | Zendy; Ehcatl Victoria-Tobon | Zendy; G. Romero Paredes | Zendy

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Fractal imbibition in Koch's curve-like capillar tubes

Author(s) -

Didier Samayoa,

Liliana Álvarez Romero,

Lilián Aurora Ochoa Ontiveros,

Lucero Priscila Damian Adame,

Ehcatl Victoria-Tobon,

G. Romero Paredes

Publication year - 2018

Publication title -

revista mexicana de física

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.181

H-Index - 25

eISSN - 2683-2224

pISSN - 0035-001X

DOI - 10.31349/revmexfis.64.291

Subject(s) - tortuosity , imbibition , koch snowflake , capillary action , fractal dimension , fractal , geometry , porous medium , porosity , materials science , physics , mechanics , mathematics , thermodynamics , mathematical analysis , composite material , botany , germination , biology

Fractal dimension effects in capillary imbibition process are analytically studied. The fractal formulation of tortuous flow with the assumption of a fractal tortuous path introduced by Cai and Yu is used to analyse the capillary rise through the tubes with deterministic fractal geometry. Capillary rise in Koch’s curve-like tubes was investigated. A new permeability parameter that takes into account the tortuosity of the flow path is deduced, and a geometrical relationship for fractal dimension of flow tortuosity (d_(τ) ) in porous media is obtained. The equilibrium height time as a function of fractal dimension of the flow tortuosity in capillary tubes with tortuous path was derived.

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