### Abstract

The present analysis considers a MHD boundary layer flow and heat transfer of an electrically-conducting viscous fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate. Using a similarity transformation, the governing system of partial differential equations was transformed to ordinary differential equations. The similarity equations were then solved numerically using a finitedifference scheme known as the Keller-box method. Numerical results were obtained for the velocity, induced magnetic and temperature profiles, the skin friction coefficient and the local Nusselt number for some values of the moving parameter ε, magnetic parameter M, the Prandtl number Pr and reciprocal magnetic Prandtl α. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions, up to a critical value of the moving parameter ε_{c}, whose value depends on the value of the magnetic parameter. Furthermore, an increase in the values of the magnetic parameter M and the moving parameter ε will increase the surface heat transfer rate.

Original language | English |
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Title of host publication | AIP Conference Proceedings |

Pages | 306-310 |

Number of pages | 5 |

Volume | 1522 |

DOIs | |

Publication status | Published - 2013 |

Event | 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya Duration: 18 Dec 2012 → 20 Dec 2012 |

### Other

Other | 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 |
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City | Putrajaya |

Period | 18/12/12 → 20/12/12 |

### Fingerprint

### Keywords

- Induced magnetic field
- Magnetohydrodynamic (MHD) flow
- Moving plate

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*AIP Conference Proceedings*(Vol. 1522, pp. 306-310) https://doi.org/10.1063/1.4801139

**MHD flow and heat transfer over a moving plate in a parallel stream with induced magnetic field.** / Jafar, Khamisah; Mohd. Nazar, Roslinda; Mohd Ishak, Anuar; Pop, Ioan.

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

*AIP Conference Proceedings.*vol. 1522, pp. 306-310, 20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012, Putrajaya, 18/12/12. https://doi.org/10.1063/1.4801139

}

TY - GEN

T1 - MHD flow and heat transfer over a moving plate in a parallel stream with induced magnetic field

AU - Jafar, Khamisah

AU - Mohd. Nazar, Roslinda

AU - Mohd Ishak, Anuar

AU - Pop, Ioan

PY - 2013

Y1 - 2013

N2 - The present analysis considers a MHD boundary layer flow and heat transfer of an electrically-conducting viscous fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate. Using a similarity transformation, the governing system of partial differential equations was transformed to ordinary differential equations. The similarity equations were then solved numerically using a finitedifference scheme known as the Keller-box method. Numerical results were obtained for the velocity, induced magnetic and temperature profiles, the skin friction coefficient and the local Nusselt number for some values of the moving parameter ε, magnetic parameter M, the Prandtl number Pr and reciprocal magnetic Prandtl α. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions, up to a critical value of the moving parameter εc, whose value depends on the value of the magnetic parameter. Furthermore, an increase in the values of the magnetic parameter M and the moving parameter ε will increase the surface heat transfer rate.

AB - The present analysis considers a MHD boundary layer flow and heat transfer of an electrically-conducting viscous fluid over a moving flat plate in a parallel stream with a constant magnetic field applied outside the boundary layer parallel to the plate. Using a similarity transformation, the governing system of partial differential equations was transformed to ordinary differential equations. The similarity equations were then solved numerically using a finitedifference scheme known as the Keller-box method. Numerical results were obtained for the velocity, induced magnetic and temperature profiles, the skin friction coefficient and the local Nusselt number for some values of the moving parameter ε, magnetic parameter M, the Prandtl number Pr and reciprocal magnetic Prandtl α. The results indicate that dual solutions exist when the plate and the fluid move in the opposite directions, up to a critical value of the moving parameter εc, whose value depends on the value of the magnetic parameter. Furthermore, an increase in the values of the magnetic parameter M and the moving parameter ε will increase the surface heat transfer rate.

KW - Induced magnetic field

KW - Magnetohydrodynamic (MHD) flow

KW - Moving plate

UR - http://www.scopus.com/inward/record.url?scp=84876930596&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84876930596&partnerID=8YFLogxK

U2 - 10.1063/1.4801139

DO - 10.1063/1.4801139

M3 - Conference contribution

AN - SCOPUS:84876930596

SN - 9780735411500

VL - 1522

SP - 306

EP - 310

BT - AIP Conference Proceedings

ER -