### Abstract

The flow due to a moving extensible sheet that obeys a more general stretching law is considered. The sheet occupies the negative x-axis and is moving continually in the positive x-direction, in an incompressible viscous and electrically conducting fluid. The sheet somehow disappears in a sink that is located at (x, y) = (0, 0). The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and the transformed equations are solved numerically using a finite-difference scheme, namely the Keller-box method. The features of the flow and heat-transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the flow near x = 0, where the velocity profiles show a reversed flow.

Original language | English |
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Pages (from-to) | 23-33 |

Number of pages | 11 |

Journal | Journal of Engineering Mathematics |

Volume | 62 |

Issue number | 1 |

DOIs | |

Publication status | Published - Sep 2008 |

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### Keywords

- Boundary layer
- Dual solutions
- Magnetohydrodynamic (MHD)
- Similarity solution
- Stretching sheet

### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Applied Mathematics

### Cite this

**MHD boundary-layer flow due to a moving extensible surface.** / Mohd Ishak, Anuar; Mohd. Nazar, Roslinda; Pop, Ioan.

Research output: Contribution to journal › Article

*Journal of Engineering Mathematics*, vol. 62, no. 1, pp. 23-33. https://doi.org/10.1007/s10665-007-9169-z

}

TY - JOUR

T1 - MHD boundary-layer flow due to a moving extensible surface

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2008/9

Y1 - 2008/9

N2 - The flow due to a moving extensible sheet that obeys a more general stretching law is considered. The sheet occupies the negative x-axis and is moving continually in the positive x-direction, in an incompressible viscous and electrically conducting fluid. The sheet somehow disappears in a sink that is located at (x, y) = (0, 0). The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and the transformed equations are solved numerically using a finite-difference scheme, namely the Keller-box method. The features of the flow and heat-transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the flow near x = 0, where the velocity profiles show a reversed flow.

AB - The flow due to a moving extensible sheet that obeys a more general stretching law is considered. The sheet occupies the negative x-axis and is moving continually in the positive x-direction, in an incompressible viscous and electrically conducting fluid. The sheet somehow disappears in a sink that is located at (x, y) = (0, 0). The governing system of partial differential equations is first transformed into a system of ordinary differential equations, and the transformed equations are solved numerically using a finite-difference scheme, namely the Keller-box method. The features of the flow and heat-transfer characteristics for different values of the governing parameters are analyzed and discussed. It is found that dual solutions exist for the flow near x = 0, where the velocity profiles show a reversed flow.

KW - Boundary layer

KW - Dual solutions

KW - Magnetohydrodynamic (MHD)

KW - Similarity solution

KW - Stretching sheet

UR - http://www.scopus.com/inward/record.url?scp=48249136943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=48249136943&partnerID=8YFLogxK

U2 - 10.1007/s10665-007-9169-z

DO - 10.1007/s10665-007-9169-z

M3 - Article

AN - SCOPUS:48249136943

VL - 62

SP - 23

EP - 33

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -