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

Roslinda Mohd. Nazar, Norsarahaida Amin, Diana Filip, Ioan Pop

Research output: Contribution to journalArticle

157 Citations (Scopus)

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).

Original languageEnglish
Pages (from-to)1241-1253
Number of pages13
JournalInternational Journal of Engineering Science
Volume42
Issue number11-12
DOIs
Publication statusPublished - Jul 2004

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Boundary layer flow
Stretching
Unsteady flow
Boundary layers
Fluids

ASJC Scopus subject areas

  • Engineering(all)

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Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. / Mohd. Nazar, Roslinda; Amin, Norsarahaida; Filip, Diana; Pop, Ioan.

In: International Journal of Engineering Science, Vol. 42, No. 11-12, 07.2004, p. 1241-1253.

Research output: Contribution to journalArticle

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