Fractal imbibition in Koch's curve-like capillary tubes

D. Samayoa; L. Alvarez-Romero; L. A. Ochoa-Ontiveros; L. Damián-Adame; E. Victoria-Tobon; G. Romero-Paredes

doi:10.31349/REVMEXFIS.64.291

Fractal imbibition in Koch's curve-like capillary tubes

D. Samayoa, L. Alvarez-Romero, L. A. Ochoa-Ontiveros, L. Damián-Adame, E. Victoria-Tobon, G. Romero-Paredes

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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 (dτ ) 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.

Original language	English
Pages (from-to)	291-295
Number of pages	5
Journal	Revista Mexicana de Fisica
Volume	64
Issue number	3
DOIs	https://doi.org/10.31349/REVMEXFIS.64.291
State	Published - 2018

Keywords

Fractal dimension of flow tortuosity
Koch curve
Linear fractal
Spontaneous imbibition

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10.31349/REVMEXFIS.64.291

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abstract = "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 (dτ ) 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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AU - Samayoa, D.

AU - Alvarez-Romero, L.

AU - Ochoa-Ontiveros, L. A.

AU - Damián-Adame, L.

AU - Victoria-Tobon, E.

AU - Romero-Paredes, G.

PY - 2018

Y1 - 2018

N2 - 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 (dτ ) 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.

AB - 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 (dτ ) 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.

KW - Fractal dimension of flow tortuosity

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KW - Linear fractal

KW - Spontaneous imbibition

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Fractal imbibition in Koch's curve-like capillary tubes

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