Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet
Unsteady two-dimensional stagnation point flow of an incompressible viscous fluid over a flat deformable sheet is studied when the flow is started impulsively from rest and the sheet is suddenly stretched in its own plane with a velocity proportional to the distance from the stagnation point. After...
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| Format: | Article |
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Elsevier Ltd.
2004
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| Online Access: | http://eprints.utm.my/7242/ http://dx.doi.org/10.1016/j.ijengsci.2003.12.002 |
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| author | Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan |
| author_facet | Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan |
| author_sort | Nazar, Roslinda |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Unsteady two-dimensional stagnation point flow of an incompressible viscous fluid over a flat deformable sheet is studied when the flow is started impulsively from rest and the sheet is suddenly stretched in its own plane with a velocity proportional to the distance from the stagnation point. After a similarity transformation, the unsteady boundary layer equation is solved numerically using the Keller-box method for the whole transient from τ=0 to the steady state τ→∞. Also, a complete analysis is made of the governing equation at τ=0, the initial unsteady flow, at large times τ=∞, the steady state flow, and a series solution valid at small times τ (1). It is found that there is a smooth transition from the initial unsteady state flow (small time solution) to the final steady state flow (large time solution
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| format | Article |
| id | my.utm.eprints-7242 |
| institution | Universiti Teknologi Malaysia |
| publishDate | 2004 |
| publisher | Elsevier Ltd. |
| record_format | eprints |
| spelling | my.utm.eprints-72422009-01-02T01:15:30Z http://eprints.utm.my/7242/ Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan QA Mathematics Unsteady two-dimensional stagnation point flow of an incompressible viscous fluid over a flat deformable sheet is studied when the flow is started impulsively from rest and the sheet is suddenly stretched in its own plane with a velocity proportional to the distance from the stagnation point. After a similarity transformation, the unsteady boundary layer equation is solved numerically using the Keller-box method for the whole transient from τ=0 to the steady state τ→∞. Also, a complete analysis is made of the governing equation at τ=0, the initial unsteady flow, at large times τ=∞, the steady state flow, and a series solution valid at small times τ (1). It is found that there is a smooth transition from the initial unsteady state flow (small time solution) to the final steady state flow (large time solution Elsevier Ltd. 2004 Article PeerReviewed Nazar, Roslinda and Amin, Norsarahaida and Filip, Diana and Pop, Ioan (2004) Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. International Journal of Engineering Science, 42 (11-12). pp. 1241-1253. ISSN 0020-7225 http://dx.doi.org/10.1016/j.ijengsci.2003.12.002 10.1016/j.ijengsci.2003.12.002 |
| spellingShingle | QA Mathematics Nazar, Roslinda Amin, Norsarahaida Filip, Diana Pop, Ioan Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| title | Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| title_full | Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| title_fullStr | Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| title_full_unstemmed | Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| title_short | Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| title_sort | unsteady boundary layer flow in the region of the stagnation point on a stretching sheet |
| topic | QA Mathematics |
| url | http://eprints.utm.my/7242/ http://dx.doi.org/10.1016/j.ijengsci.2003.12.002 |
| url_provider | http://eprints.utm.my/ |