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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier Science Ltd.
2004
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| Online Access: | http://eprints.utm.my/9832/1/RoslindaNazar2004_Unsteady_boundary_layer_flow.pdf |
| _version_ | 1796854588044738560 |
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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 |
| collection | ePrints |
| 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). |
| first_indexed | 2024-03-05T18:16:18Z |
| format | Article |
| id | utm.eprints-9832 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:16:18Z |
| publishDate | 2004 |
| publisher | Elsevier Science Ltd. |
| record_format | dspace |
| spelling | utm.eprints-98322017-04-10T08:13:45Z http://eprints.utm.my/9832/ 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 Science Ltd. 2004-07 Article PeerReviewed application/pdf en http://eprints.utm.my/9832/1/RoslindaNazar2004_Unsteady_boundary_layer_flow.pdf 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 - 1). pp. 1241-1253. ISSN 0020-7225 http://dx.doi.org/10.1016/j.ijengsci.2003.12.002 doi: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/9832/1/RoslindaNazar2004_Unsteady_boundary_layer_flow.pdf |
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