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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 - 1). 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 t=0 to the steady state t?8. Also, a complete analysis is made of the governing equation at t=0, the initial unsteady flow, at large times t=8, the steady state flow, and a series solution valid at small times t (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
Uncontrolled Keywords:deformable sheet, stagnation point
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:9832
Deposited By: Ms Zalinda Shuratman
Deposited On:02 Apr 2010 03:54
Last Modified:23 Jun 2010 07:43

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