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Revista mexicana de física
versão impressa ISSN 0035-001X
Resumo
SAMAYOA, D. et al. Fractal imbibition in Koch’s curve-like capillary tubes. Rev. mex. fis. [online]. 2018, vol.64, n.3, pp.291-295. ISSN 0035-001X.
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.
Palavras-chave : Spontaneous imbibition; linear fractal; Koch curve; fractal dimension of flow tortuosity.