### Abstract

This paper considers the steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation-point on a vertical surface with the slip effect at the boundary. The temperature of the sheet and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into a system of ordinary differential equations, which are then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that for the opposing flow, the dual solutions exist in a certain range of the buoyancy parameter, while for the assisting flow, the solution is unique. In general, the velocity slip increases the heat transfer rate at the surface, while the thermal slip decreases it.

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

Pages (from-to) | 1599-1606 |

Number of pages | 8 |

Journal | Applied Mathematics and Mechanics (English Edition) |

Volume | 32 |

Issue number | 12 |

DOIs | |

Publication status | Published - Dec 2011 |

### Fingerprint

### Keywords

- Dual solution
- Heat transfer
- Mixed convection
- Slip
- Stagnation-point

### ASJC Scopus subject areas

- Applied Mathematics
- Mechanics of Materials
- Mechanical Engineering

### Cite this

*Applied Mathematics and Mechanics (English Edition)*,

*32*(12), 1599-1606. https://doi.org/10.1007/s10483-011-1526-x

**Mixed convection boundary layer flow near stagnation-point on vertical surface with slip.** / Aman, F.; Mohd Ishak, Anuar; Pop, I.

Research output: Contribution to journal › Article

*Applied Mathematics and Mechanics (English Edition)*, vol. 32, no. 12, pp. 1599-1606. https://doi.org/10.1007/s10483-011-1526-x

}

TY - JOUR

T1 - Mixed convection boundary layer flow near stagnation-point on vertical surface with slip

AU - Aman, F.

AU - Mohd Ishak, Anuar

AU - Pop, I.

PY - 2011/12

Y1 - 2011/12

N2 - This paper considers the steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation-point on a vertical surface with the slip effect at the boundary. The temperature of the sheet and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into a system of ordinary differential equations, which are then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that for the opposing flow, the dual solutions exist in a certain range of the buoyancy parameter, while for the assisting flow, the solution is unique. In general, the velocity slip increases the heat transfer rate at the surface, while the thermal slip decreases it.

AB - This paper considers the steady mixed convection boundary layer flow of a viscous and incompressible fluid near the stagnation-point on a vertical surface with the slip effect at the boundary. The temperature of the sheet and the velocity of the external flow are assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into a system of ordinary differential equations, which are then solved numerically by a shooting method. The features of the flow and heat transfer characteristics for different values of the governing parameters are analyzed and discussed. Both assisting and opposing flows are considered. The results indicate that for the opposing flow, the dual solutions exist in a certain range of the buoyancy parameter, while for the assisting flow, the solution is unique. In general, the velocity slip increases the heat transfer rate at the surface, while the thermal slip decreases it.

KW - Dual solution

KW - Heat transfer

KW - Mixed convection

KW - Slip

KW - Stagnation-point

UR - http://www.scopus.com/inward/record.url?scp=84855684643&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855684643&partnerID=8YFLogxK

U2 - 10.1007/s10483-011-1526-x

DO - 10.1007/s10483-011-1526-x

M3 - Article

AN - SCOPUS:84855684643

VL - 32

SP - 1599

EP - 1606

JO - Applied Mathematics and Mechanics

JF - Applied Mathematics and Mechanics

SN - 0253-4827

IS - 12

ER -