### Abstract

The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number á and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λ_{c} of the moving parameter λ, whose value depends on the values of S and β.

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

Article number | 20 |

Journal | Boundary Value Problems |

Volume | 2013 |

DOIs | |

Publication status | Published - 2013 |

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### Keywords

- Boundary layer
- Induced magnetic field
- Magnetohydrodynamic
- Moving wedge

### ASJC Scopus subject areas

- Algebra and Number Theory
- Analysis

### Cite this

**MHD boundary layer flow due to a moving wedge in a parallel streamwith the induced magnetic field.** / Jafar, Khamisah; Mohd. Nazar, Roslinda; Mohd Ishak, Anuar; Pop, Ioan.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - MHD boundary layer flow due to a moving wedge in a parallel streamwith the 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 the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number á and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λc of the moving parameter λ, whose value depends on the values of S and β.

AB - The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number á and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value λc of the moving parameter λ, whose value depends on the values of S and β.

KW - Boundary layer

KW - Induced magnetic field

KW - Magnetohydrodynamic

KW - Moving wedge

UR - http://www.scopus.com/inward/record.url?scp=84888053370&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888053370&partnerID=8YFLogxK

U2 - 10.1186/1687-2770-2013-20

DO - 10.1186/1687-2770-2013-20

M3 - Article

AN - SCOPUS:84888053370

VL - 2013

JO - Boundary Value Problems

JF - Boundary Value Problems

SN - 1687-2762

M1 - 20

ER -