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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Sociedad Mexicana de Física
2018
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| Online Access: | http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2018000300291 |
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oai:scielo:S0035-001X20180003002912019-05-13Fractal imbibition in Koch’s curve-like capillary tubesSamayoa,D.Alvarez-Romero,L.Ochoa-Ontiveros,L.A.Damián-Adame,L.Victoria-Tobon,E.Romero-Paredes,G. Spontaneous imbibition linear fractal Koch curve fractal dimension of flow tortuosity 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.info:eu-repo/semantics/openAccessSociedad Mexicana de FísicaRevista mexicana de física v.64 n.3 20182018-06-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2018000300291en |
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México |
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MX |
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revista |
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America del Norte |
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| language |
English |
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Digital |
| author |
Samayoa,D. Alvarez-Romero,L. Ochoa-Ontiveros,L.A. Damián-Adame,L. Victoria-Tobon,E. Romero-Paredes,G. |
| spellingShingle |
Samayoa,D. Alvarez-Romero,L. Ochoa-Ontiveros,L.A. Damián-Adame,L. Victoria-Tobon,E. Romero-Paredes,G. Fractal imbibition in Koch’s curve-like capillary tubes |
| author_facet |
Samayoa,D. Alvarez-Romero,L. Ochoa-Ontiveros,L.A. Damián-Adame,L. Victoria-Tobon,E. Romero-Paredes,G. |
| author_sort |
Samayoa,D. |
| title |
Fractal imbibition in Koch’s curve-like capillary tubes |
| title_short |
Fractal imbibition in Koch’s curve-like capillary tubes |
| title_full |
Fractal imbibition in Koch’s curve-like capillary tubes |
| title_fullStr |
Fractal imbibition in Koch’s curve-like capillary tubes |
| title_full_unstemmed |
Fractal imbibition in Koch’s curve-like capillary tubes |
| title_sort |
fractal imbibition in koch’s curve-like capillary tubes |
| description |
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. |
| publisher |
Sociedad Mexicana de Física |
| publishDate |
2018 |
| url |
http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0035-001X2018000300291 |
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| _version_ |
1756220018518917121 |