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 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 |
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Uncontrolled Keywords: | deformable sheet, stagnation point |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 9832 |

Deposited By: | Zalinda Shuratman |

Deposited On: | 02 Apr 2010 03:54 |

Last Modified: | 10 Apr 2017 08:13 |

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