### Abstract

A steady mixed convection boundary layer flow near a stagnation point on a permeable vertical surface immersed in a nanofluid is investigated. The velocity of the external flow is assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically using the Keller box method with the help of MATLAB software. The effects of physical parameters such as the suction/injection parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the heat and mass transfer rate at the surface as well as the temperature and concentration profiles are analyzed and discussed. Both assisting and opposing flows are considered. It is found that, increasing the thermophoresis parameter, Brownian motion parameter and Lewis number are to decrease the heat transfer rate at the surface, but on the other hand increase the mass transfer rate at the surface for both assisting and opposing flows. In addition, increasing suction parameter tends to increase the heat transfer rate at the surface. However, the opposite behavior occurs for the effect of mass transfer rate at the surface.

Original language | English |
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Title of host publication | 22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia |

Publisher | American Institute of Physics Inc. |

Volume | 1682 |

ISBN (Electronic) | 9780735413290 |

DOIs | |

Publication status | Published - 22 Oct 2015 |

Event | 22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, SKSM 2014 - Selangor, Malaysia Duration: 24 Nov 2014 → 26 Nov 2014 |

### Other

Other | 22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, SKSM 2014 |
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Country | Malaysia |

City | Selangor |

Period | 24/11/14 → 26/11/14 |

### Fingerprint

### Keywords

- boundary layer flow
- mixed convection
- stagnation point
- suction/injection
- vertical surface

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia*(Vol. 1682). [020038] American Institute of Physics Inc.. https://doi.org/10.1063/1.4932447

**Boundary layer flow near a stagnation point on a permeable vertical surface immersed in a nanofluid.** / Othman, Noor Adila; Yacob, Nor Azizah; Bachok, Norfifah; Ramli, Nazirah; Mohd Ishak, Anuar.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia.*vol. 1682, 020038, American Institute of Physics Inc., 22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia, SKSM 2014, Selangor, Malaysia, 24/11/14. https://doi.org/10.1063/1.4932447

}

TY - GEN

T1 - Boundary layer flow near a stagnation point on a permeable vertical surface immersed in a nanofluid

AU - Othman, Noor Adila

AU - Yacob, Nor Azizah

AU - Bachok, Norfifah

AU - Ramli, Nazirah

AU - Mohd Ishak, Anuar

PY - 2015/10/22

Y1 - 2015/10/22

N2 - A steady mixed convection boundary layer flow near a stagnation point on a permeable vertical surface immersed in a nanofluid is investigated. The velocity of the external flow is assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically using the Keller box method with the help of MATLAB software. The effects of physical parameters such as the suction/injection parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the heat and mass transfer rate at the surface as well as the temperature and concentration profiles are analyzed and discussed. Both assisting and opposing flows are considered. It is found that, increasing the thermophoresis parameter, Brownian motion parameter and Lewis number are to decrease the heat transfer rate at the surface, but on the other hand increase the mass transfer rate at the surface for both assisting and opposing flows. In addition, increasing suction parameter tends to increase the heat transfer rate at the surface. However, the opposite behavior occurs for the effect of mass transfer rate at the surface.

AB - A steady mixed convection boundary layer flow near a stagnation point on a permeable vertical surface immersed in a nanofluid is investigated. The velocity of the external flow is assumed to vary linearly with the distance from the stagnation-point. The governing partial differential equations are first transformed into ordinary differential equations, before being solved numerically using the Keller box method with the help of MATLAB software. The effects of physical parameters such as the suction/injection parameter, Brownian motion parameter, thermophoresis parameter and Lewis number on the heat and mass transfer rate at the surface as well as the temperature and concentration profiles are analyzed and discussed. Both assisting and opposing flows are considered. It is found that, increasing the thermophoresis parameter, Brownian motion parameter and Lewis number are to decrease the heat transfer rate at the surface, but on the other hand increase the mass transfer rate at the surface for both assisting and opposing flows. In addition, increasing suction parameter tends to increase the heat transfer rate at the surface. However, the opposite behavior occurs for the effect of mass transfer rate at the surface.

KW - boundary layer flow

KW - mixed convection

KW - stagnation point

KW - suction/injection

KW - vertical surface

UR - http://www.scopus.com/inward/record.url?scp=84984585871&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84984585871&partnerID=8YFLogxK

U2 - 10.1063/1.4932447

DO - 10.1063/1.4932447

M3 - Conference contribution

AN - SCOPUS:84984585871

VL - 1682

BT - 22nd National Symposium on Mathematical Sciences, SKSM 2014: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia

PB - American Institute of Physics Inc.

ER -