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Criteria for Applying the Lucas-Washburn Law
Spontaneous imbibition happens in many natural and chemical engineering processes in which the mean advancing front usually follows Lucas-Washburn’s law. However it has been found that the scaling law does not apply in many cases. There have been few criteria to determine under what conditions the W...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4568521/ https://www.ncbi.nlm.nih.gov/pubmed/26364749 http://dx.doi.org/10.1038/srep14085 |
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author | Li, Kewen Zhang, Danfeng Bian, Huiyuan Meng, Chao Yang, Yanan |
author_facet | Li, Kewen Zhang, Danfeng Bian, Huiyuan Meng, Chao Yang, Yanan |
author_sort | Li, Kewen |
collection | PubMed |
description | Spontaneous imbibition happens in many natural and chemical engineering processes in which the mean advancing front usually follows Lucas-Washburn’s law. However it has been found that the scaling law does not apply in many cases. There have been few criteria to determine under what conditions the Washburn law works. The effect of gravity on spontaneous imbibition in porous media was investigated both theoretically and experimentally. The mathematical model derived analytically was used to calculate the imbibition rates in porous media with different permeabilities. The results demonstrated that the effect of gravity on spontaneous imbibition was governed by the hydraulic conductivity of the porous media (permeability of the imbibition systems). The criteria for applying the Lucas-Washburn law have been proposed. The effect of gravity becomes more apparent with the increase in permeability or with the decrease in CGR number (the ratio of capillary pressure to gravity forces) and may be ignored when the CGR number is less than a specific value [Image: see text] ≅ 3.0. The effect of gravity on imbibition in porous media can be modeled theoretically. It may not be necessary to conduct spontaneous imbibition experiments horizontally in order to exclude the effect of gravity, as has been done previously. |
format | Online Article Text |
id | pubmed-4568521 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-45685212015-09-23 Criteria for Applying the Lucas-Washburn Law Li, Kewen Zhang, Danfeng Bian, Huiyuan Meng, Chao Yang, Yanan Sci Rep Article Spontaneous imbibition happens in many natural and chemical engineering processes in which the mean advancing front usually follows Lucas-Washburn’s law. However it has been found that the scaling law does not apply in many cases. There have been few criteria to determine under what conditions the Washburn law works. The effect of gravity on spontaneous imbibition in porous media was investigated both theoretically and experimentally. The mathematical model derived analytically was used to calculate the imbibition rates in porous media with different permeabilities. The results demonstrated that the effect of gravity on spontaneous imbibition was governed by the hydraulic conductivity of the porous media (permeability of the imbibition systems). The criteria for applying the Lucas-Washburn law have been proposed. The effect of gravity becomes more apparent with the increase in permeability or with the decrease in CGR number (the ratio of capillary pressure to gravity forces) and may be ignored when the CGR number is less than a specific value [Image: see text] ≅ 3.0. The effect of gravity on imbibition in porous media can be modeled theoretically. It may not be necessary to conduct spontaneous imbibition experiments horizontally in order to exclude the effect of gravity, as has been done previously. Nature Publishing Group 2015-09-14 /pmc/articles/PMC4568521/ /pubmed/26364749 http://dx.doi.org/10.1038/srep14085 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
spellingShingle | Article Li, Kewen Zhang, Danfeng Bian, Huiyuan Meng, Chao Yang, Yanan Criteria for Applying the Lucas-Washburn Law |
title | Criteria for Applying the Lucas-Washburn Law |
title_full | Criteria for Applying the Lucas-Washburn Law |
title_fullStr | Criteria for Applying the Lucas-Washburn Law |
title_full_unstemmed | Criteria for Applying the Lucas-Washburn Law |
title_short | Criteria for Applying the Lucas-Washburn Law |
title_sort | criteria for applying the lucas-washburn law |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4568521/ https://www.ncbi.nlm.nih.gov/pubmed/26364749 http://dx.doi.org/10.1038/srep14085 |
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