### 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 language | English |
---|---|

Pages (from-to) | 1241-1253 |

Number of pages | 13 |

Journal | International Journal of Engineering Science |

Volume | 42 |

Issue number | 11-12 |

DOIs | |

Publication status | Published - Jul 2004 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*International Journal of Engineering Science*,

*42*(11-12), 1241-1253. https://doi.org/10.1016/j.ijengsci.2003.12.002

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

Research output: Contribution to journal › Article

*International Journal of Engineering Science*, vol. 42, no. 11-12, pp. 1241-1253. https://doi.org/10.1016/j.ijengsci.2003.12.002

}

TY - JOUR

T1 - Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet

AU - Mohd. Nazar, Roslinda

AU - Amin, Norsarahaida

AU - Filip, Diana

AU - Pop, Ioan

PY - 2004/7

Y1 - 2004/7

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=3142609569&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3142609569&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2003.12.002

DO - 10.1016/j.ijengsci.2003.12.002

M3 - Article

AN - SCOPUS:3142609569

VL - 42

SP - 1241

EP - 1253

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

IS - 11-12

ER -