Fundamental solutions for micropolar fluids
New fundamental solutions for micropolar fluids are derived in explicit form for two- and three-dimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the two- and three-dimensional micropolar Stokes couplet, t...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
2011
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| Online Access: | https://hdl.handle.net/10356/94031 http://hdl.handle.net/10220/7061 |
| _version_ | 1811686353364058112 |
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| author | Shu, Jian Jun Lee, Jenn Shiun |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Shu, Jian Jun Lee, Jenn Shiun |
| author_sort | Shu, Jian Jun |
| collection | NTU |
| description | New fundamental solutions for micropolar fluids are derived in explicit form for two- and three-dimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the two- and three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fundamental solutions do not exist in Newtonian flow due to the absence of microrotation velocity field. The flow due to these singularities is useful for understanding and studying microscale flows. As an application, the drag coefficients for a solid sphere or a circular cylinder that translates in a low-Reynolds-number micropolar flow are determined and compared with those corresponding to Newtonian flow. The drag coefficients in a micropolar fluid are greater than those in a Newtonian fluid. |
| first_indexed | 2024-10-01T04:59:04Z |
| format | Journal Article |
| id | ntu-10356/94031 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:59:04Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | ntu-10356/940312023-03-04T17:17:57Z Fundamental solutions for micropolar fluids Shu, Jian Jun Lee, Jenn Shiun School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering::Fluid mechanics New fundamental solutions for micropolar fluids are derived in explicit form for two- and three-dimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the two- and three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fundamental solutions do not exist in Newtonian flow due to the absence of microrotation velocity field. The flow due to these singularities is useful for understanding and studying microscale flows. As an application, the drag coefficients for a solid sphere or a circular cylinder that translates in a low-Reynolds-number micropolar flow are determined and compared with those corresponding to Newtonian flow. The drag coefficients in a micropolar fluid are greater than those in a Newtonian fluid. Accepted version 2011-09-15T02:52:14Z 2019-12-06T18:49:33Z 2011-09-15T02:52:14Z 2019-12-06T18:49:33Z 2007 2007 Journal Article Shu, J. J., & Lee, J. S. (2008). Fundamental solutions for micropolar fluids. Journal of Engineering Mathematics, 61(1), 69-79. 0022-0833 https://hdl.handle.net/10356/94031 http://hdl.handle.net/10220/7061 10.1007/s10665-007-9160-8 89709 en Journal of engineering mathematics © 2007 Springer. This is the author created version of a work that has been peer reviewed and accepted for publication by Journal of Engineering Mathematics, Springer. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1007/s10665-007-9160-8]. 11 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Mechanical engineering::Fluid mechanics Shu, Jian Jun Lee, Jenn Shiun Fundamental solutions for micropolar fluids |
| title | Fundamental solutions for micropolar fluids |
| title_full | Fundamental solutions for micropolar fluids |
| title_fullStr | Fundamental solutions for micropolar fluids |
| title_full_unstemmed | Fundamental solutions for micropolar fluids |
| title_short | Fundamental solutions for micropolar fluids |
| title_sort | fundamental solutions for micropolar fluids |
| topic | DRNTU::Engineering::Mechanical engineering::Fluid mechanics |
| url | https://hdl.handle.net/10356/94031 http://hdl.handle.net/10220/7061 |
| work_keys_str_mv | AT shujianjun fundamentalsolutionsformicropolarfluids AT leejennshiun fundamentalsolutionsformicropolarfluids |