### Abstract

An analysis is made for the steady mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using a very efficient numerical scheme known as the Keller-box method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. It is observed that, for assisting flow, both the skin friction coefficient and the local Nusselt number increase as the buoyancy parameter increases, while only the local Nusselt number increases but the skin friction coefficient decreases as the Prandtl number increases. For opposing flow, both the skin friction coefficient and the local Nusselt number decrease as the buoyancy parameter increases, but both increase as Pr increases. Comparison with known results is excellent.

Original language | English |
---|---|

Pages (from-to) | 509-518 |

Number of pages | 10 |

Journal | Meccanica |

Volume | 41 |

Issue number | 5 |

DOIs | |

Publication status | Published - Oct 2006 |

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### Keywords

- Boundary layer
- Heat transfer
- Stagnation-point flow
- Stretching sheet fluid mechanics

### ASJC Scopus subject areas

- Mechanical Engineering
- Mechanics of Materials
- Condensed Matter Physics

### Cite this

**Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet.** / Mohd Ishak, Anuar; Mohd. Nazar, Roslinda; Pop, I.

Research output: Contribution to journal › Article

*Meccanica*, vol. 41, no. 5, pp. 509-518. https://doi.org/10.1007/s11012-006-0009-4

}

TY - JOUR

T1 - Mixed convection boundary layers in the stagnation-point flow toward a stretching vertical sheet

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, I.

PY - 2006/10

Y1 - 2006/10

N2 - An analysis is made for the steady mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using a very efficient numerical scheme known as the Keller-box method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. It is observed that, for assisting flow, both the skin friction coefficient and the local Nusselt number increase as the buoyancy parameter increases, while only the local Nusselt number increases but the skin friction coefficient decreases as the Prandtl number increases. For opposing flow, both the skin friction coefficient and the local Nusselt number decrease as the buoyancy parameter increases, but both increase as Pr increases. Comparison with known results is excellent.

AB - An analysis is made for the steady mixed convection boundary layer flow near the two-dimensional stagnation-point flow of an incompressible viscous fluid over a stretching vertical sheet in its own plane. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. Two equal and opposite forces are impulsively applied along the x-axis so that the wall is stretched, keeping the origin fixed in a viscous fluid of constant ambient temperature. The transformed ordinary differential equations are solved numerically for some values of the parameters involved using a very efficient numerical scheme known as the Keller-box method. The features of the flow and heat transfer characteristics are analyzed and discussed in detail. Both cases of assisting and opposing flows are considered. It is observed that, for assisting flow, both the skin friction coefficient and the local Nusselt number increase as the buoyancy parameter increases, while only the local Nusselt number increases but the skin friction coefficient decreases as the Prandtl number increases. For opposing flow, both the skin friction coefficient and the local Nusselt number decrease as the buoyancy parameter increases, but both increase as Pr increases. Comparison with known results is excellent.

KW - Boundary layer

KW - Heat transfer

KW - Stagnation-point flow

KW - Stretching sheet fluid mechanics

UR - http://www.scopus.com/inward/record.url?scp=34848923849&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34848923849&partnerID=8YFLogxK

U2 - 10.1007/s11012-006-0009-4

DO - 10.1007/s11012-006-0009-4

M3 - Article

VL - 41

SP - 509

EP - 518

JO - Meccanica

JF - Meccanica

SN - 0025-6455

IS - 5

ER -