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Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet

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

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Official URL: http://dx.doi.org/10.1016/j.ijengsci.2003.12.002

Abstract

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

Item Type:Article
Subjects:Q Science > QA Mathematics
Divisions:Geoinformation Science And Engineering (Formerly known)
ID Code:7242
Deposited By: Nur Amal Zakiah Shamsudin
Deposited On:02 Jan 2009 01:15
Last Modified:02 Jan 2009 01:15

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