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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier Science Ltd.
2004
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/9832/1/RoslindaNazar2004_Unsteady_boundary_layer_flow.pdf http://eprints.utm.my/id/eprint/9832/ http://dx.doi.org/10.1016/j.ijengsci.2003.12.002 |
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| Summary: | 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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