Fractal imbibition in Koch's curve-like capillar tubes

Authors

  • Didier Samayoa SEPI-ESIME Instituto Politécnico Nacional.
  • Liliana Álvarez Romero SEPI-ESIME Instituto Politécnico Nacional.
  • Lilian Aurora Ochoa Ontiveros SEPI-ESIME Instituto Politécnico Nacional.
  • Lucero Priscila Damian Adame SEPI-ESIME Instituto Politécnico Nacional.
  • Ehcatl Victoria-Tobon SEPI-ESIME Instituto Politécnico Nacional
  • Gabriel Romero Paredes Departamento de Ingeniería Eléctrica CINVESTAV.

DOI:

https://doi.org/10.31349/RevMexFis.64.291

Keywords:

spontaneous imbibition, linear fractal, Koch curve, fractal dimension of ow tortuosity

Abstract

Fractal geometry eects in capillary imbibition process are studied. Capillary rise analysis in Koch's curve-like tubes were be carried out with iterations i = 0; 1; 2; 3; 4; 5. The behaviour was characterized in function of time, fractal geometry and height of capillary rise. An geometrical relationship for fractal dimension of  ow tortuosity (dr) in porous media is obtained. The analytical model of Lucas-Washburn-Cai to describe the capillary rise by spontaneus imbibition in tubes with deterministic fractal geometry is adjusted. The equilibrium height time as function of fractal dimension of  ow tortuosity in capillary tubes with tortuous path is also derived.

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Published

2018-04-30

How to Cite

[1]
D. Samayoa, L. Álvarez Romero, L. A. Ochoa Ontiveros, L. P. Damian Adame, E. Victoria-Tobon, and G. Romero Paredes, “Fractal imbibition in Koch’s curve-like capillar tubes”, Rev. Mex. Fís., vol. 64, no. 3 May-Jun, pp. 291–295, Apr. 2018.

Issue

Vol. 64 No. 3 May-Jun (2018): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.