Fractal imbibition in Koch’s curve-like capillary tubes

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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Bibliographic Details
Main Authors: Samayoa,D., Alvarez-Romero,L., Ochoa-Ontiveros,L.A., Damián-Adame,L., Victoria-Tobon,E., Romero-Paredes,G.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2018
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2018000300291
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