### Abstract

This paper considers a numerical investigation on the steady laminar two-dimensional MHD stagnation-point flow and heat transfer of an incompressible viscous fluid impinging normal to an exponentially stretching/shrinking flat sheet in the presence of a non-uniform magnetic field applied in a direction normal to the flat sheet. The sheet surface temperature is assumed to also vary exponentially with the distance from the stagnation-point. The governing system of partial differential equations is first transformed into ordinary differential equations, and solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of the stretching/shrinking parameter ε and the magnetic parameter on the flow field and heat transfer characteristics are discussed. It is found that the magnitude of the skin friction coefficient |f'(o)|, and the local Nusselt number -θ'(0) increase with both the magnetic parameter M and the stretching/shrinking parameter ε. For the shrinking case, it is found that there is a minimum value ε_{c} of the shrinking parameter ε for which solution exists, and its value is dependent on the value of M, and dual solutions exist for some range of values of the shrinking parameter ε.

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

Title of host publication | 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014 |

Publisher | American Institute of Physics Inc. |

Volume | 1677 |

ISBN (Electronic) | 9780735413245 |

DOIs | |

Publication status | Published - 30 Sep 2015 |

Event | 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014 - Bandung, Indonesia Duration: 2 Nov 2014 → 3 Nov 2014 |

### Other

Other | 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014 |
---|---|

Country | Indonesia |

City | Bandung |

Period | 2/11/14 → 3/11/14 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*5th International Conference on Mathematics and Natural Sciences, ICMNS 2014*(Vol. 1677). [030013] American Institute of Physics Inc.. https://doi.org/10.1063/1.4930635

**Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet.** / Jafar, Khamisah; Mohd. Nazar, Roslinda; Mohd Ishak, Anuar; Mohamad Hamzah, Firdaus.

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

*5th International Conference on Mathematics and Natural Sciences, ICMNS 2014.*vol. 1677, 030013, American Institute of Physics Inc., 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014, Bandung, Indonesia, 2/11/14. https://doi.org/10.1063/1.4930635

}

TY - GEN

T1 - Magnetohydrodynamic stagnation-point flow and heat transfer over an exponentially stretching/shrinking sheet

AU - Jafar, Khamisah

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Mohamad Hamzah, Firdaus

PY - 2015/9/30

Y1 - 2015/9/30

N2 - This paper considers a numerical investigation on the steady laminar two-dimensional MHD stagnation-point flow and heat transfer of an incompressible viscous fluid impinging normal to an exponentially stretching/shrinking flat sheet in the presence of a non-uniform magnetic field applied in a direction normal to the flat sheet. The sheet surface temperature is assumed to also vary exponentially with the distance from the stagnation-point. The governing system of partial differential equations is first transformed into ordinary differential equations, and solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of the stretching/shrinking parameter ε and the magnetic parameter on the flow field and heat transfer characteristics are discussed. It is found that the magnitude of the skin friction coefficient |f'(o)|, and the local Nusselt number -θ'(0) increase with both the magnetic parameter M and the stretching/shrinking parameter ε. For the shrinking case, it is found that there is a minimum value εc of the shrinking parameter ε for which solution exists, and its value is dependent on the value of M, and dual solutions exist for some range of values of the shrinking parameter ε.

AB - This paper considers a numerical investigation on the steady laminar two-dimensional MHD stagnation-point flow and heat transfer of an incompressible viscous fluid impinging normal to an exponentially stretching/shrinking flat sheet in the presence of a non-uniform magnetic field applied in a direction normal to the flat sheet. The sheet surface temperature is assumed to also vary exponentially with the distance from the stagnation-point. The governing system of partial differential equations is first transformed into ordinary differential equations, and solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of the stretching/shrinking parameter ε and the magnetic parameter on the flow field and heat transfer characteristics are discussed. It is found that the magnitude of the skin friction coefficient |f'(o)|, and the local Nusselt number -θ'(0) increase with both the magnetic parameter M and the stretching/shrinking parameter ε. For the shrinking case, it is found that there is a minimum value εc of the shrinking parameter ε for which solution exists, and its value is dependent on the value of M, and dual solutions exist for some range of values of the shrinking parameter ε.

UR - http://www.scopus.com/inward/record.url?scp=85006226892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006226892&partnerID=8YFLogxK

U2 - 10.1063/1.4930635

DO - 10.1063/1.4930635

M3 - Conference contribution

AN - SCOPUS:85006226892

VL - 1677

BT - 5th International Conference on Mathematics and Natural Sciences, ICMNS 2014

PB - American Institute of Physics Inc.

ER -