Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid
In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-differen...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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John Wiley and Sons Ltd
2012
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| Online Access: | http://irep.iium.edu.my/25451/ http://irep.iium.edu.my/25451/1/Unsteady_Three-dimensional_Boundary.pdf |
| _version_ | 1848779465225666560 |
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| author | Ahmad, Kartini R, Nazar Aris, Ishak I, Pop |
| author_facet | Ahmad, Kartini R, Nazar Aris, Ishak I, Pop |
| author_sort | Ahmad, Kartini |
| building | IIUM Repository |
| collection | Online Access |
| description | In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. The equations for the initial unsteady-state flow are also solved analytically. It is found that there is a smooth transition from the small-time solution to the large-time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented. |
| first_indexed | 2025-11-14T15:18:12Z |
| format | Article |
| id | iium-25451 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T15:18:12Z |
| publishDate | 2012 |
| publisher | John Wiley and Sons Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-254512013-07-29T04:51:32Z http://irep.iium.edu.my/25451/ Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid Ahmad, Kartini R, Nazar Aris, Ishak I, Pop TP248.13 Biotechnology In this paper, the unsteady three-dimensional boundary layer flow due to a stretching surface in a viscous and incompressible micropolar fluid is considered. The partial differential equations governing the unsteady laminar boundary layer flow are solved numerically using an implicit finite-difference scheme. The numerical solutions are obtained which are uniformly valid for all dimensionless time from initial unsteady-state flow to final steady-state flow in the whole spatial region. The equations for the initial unsteady-state flow are also solved analytically. It is found that there is a smooth transition from the small-time solution to the large-time solution. The features of the flow for different values of the governing parameters are analyzed and discussed. The solutions of interest for the skin friction coefficient with various values of the stretching parameter c and material parameter K are presented. John Wiley and Sons Ltd 2012-04 Article PeerReviewed application/pdf en http://irep.iium.edu.my/25451/1/Unsteady_Three-dimensional_Boundary.pdf Ahmad, Kartini and R, Nazar and Aris, Ishak and I, Pop (2012) Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid. International Journal For Numerical Methods In Fluids, 68 (12). pp. 1561-1573. ISSN 0271-2091 |
| spellingShingle | TP248.13 Biotechnology Ahmad, Kartini R, Nazar Aris, Ishak I, Pop Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| title | Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| title_full | Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| title_fullStr | Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| title_full_unstemmed | Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| title_short | Unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| title_sort | unsteady three-dimensional boundary layer flow due to a stretching surface in a micropolar fluid |
| topic | TP248.13 Biotechnology |
| url | http://irep.iium.edu.my/25451/ http://irep.iium.edu.my/25451/1/Unsteady_Three-dimensional_Boundary.pdf |