Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material
We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2016-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=41386&issue_ID=237 |
| _version_ | 1811296493033750528 |
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| author | Javed I Siddique Abdul Kara |
| author_facet | Javed I Siddique Abdul Kara |
| author_sort | Javed I Siddique |
| collection | DOAJ |
| description | We have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material that induces a stress gradient which in turn causes deformation that is characterized by a variable solid fraction. The problem is formulated as a non–linear moving boundary problem which we solve using the method of lines approach after transforming to a fixed computational domain. The summary of our finding includes a notable reduction in capillary rise and a decrease in solid deformation due to magnetic effects. |
| first_indexed | 2024-04-13T05:49:20Z |
| format | Article |
| id | doaj.art-3b391c615bff4e26b674099a33ad372c |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-04-13T05:49:20Z |
| publishDate | 2016-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-3b391c615bff4e26b674099a33ad372c2022-12-22T02:59:50ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-019628372843.Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous MaterialJaved I Siddique0Abdul Kara1Penn State YorkKFUPMWe have developed a mathematical model for capillary rise of magnetohydrodynamic fluids. The liquid starts to imbibe because of capillary suction in an undeformed and initially dry sponge-like porous material. The driving force in our model is a pressure gradient across the evolving porous material that induces a stress gradient which in turn causes deformation that is characterized by a variable solid fraction. The problem is formulated as a non–linear moving boundary problem which we solve using the method of lines approach after transforming to a fixed computational domain. The summary of our finding includes a notable reduction in capillary rise and a decrease in solid deformation due to magnetic effects.http://jafmonline.net/JournalArchive/download?file_ID=41386&issue_ID=237Capillary Rise; Magnetohydrodynamics fluid; Deformable porous media; Mixture theory. |
| spellingShingle | Javed I Siddique Abdul Kara Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material Journal of Applied Fluid Mechanics Capillary Rise; Magnetohydrodynamics fluid; Deformable porous media; Mixture theory. |
| title | Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material |
| title_full | Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material |
| title_fullStr | Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material |
| title_full_unstemmed | Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material |
| title_short | Capillary Rise of Magnetohydrodynamics Liquid into Deformable Porous Material |
| title_sort | capillary rise of magnetohydrodynamics liquid into deformable porous material |
| topic | Capillary Rise; Magnetohydrodynamics fluid; Deformable porous media; Mixture theory. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=41386&issue_ID=237 |
| work_keys_str_mv | AT javedisiddique capillaryriseofmagnetohydrodynamicsliquidintodeformableporousmaterial AT abdulkara capillaryriseofmagnetohydrodynamicsliquidintodeformableporousmaterial |