### Abstract

The characteristics of steady two-dimensional laminar boundary layer flow of a viscous and incompressible fluid past a moving wedge with suction or injection are theoretically investigated. The transformed boundary layer equations are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of Falkner-Skan power-law parameter (m), suction/injection parameter (f_{0}) and the ratio of free stream velocity to boundary velocity parameter (λ) are discussed in detail. The numerical results for velocity distribution and skin friction coefficient are given for several values of these parameters. Comparisons with the existing results obtained by other researchers under certain conditions are made. The critical values of f_{0}, m and λ are obtained numerically and their significance on the skin friction and velocity profiles is discussed. The numerical evidence would seem to indicate the onset of reverse flow as it has been found by Riley and Weidman in 1989 for the Falkner-Skan equation for flow past an impermeable stretching boundary.

Original language | English |
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Pages (from-to) | 67-83 |

Number of pages | 17 |

Journal | Journal of Applied Mathematics and Computing |

Volume | 25 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Sep 2007 |

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### Keywords

- Boundary layer
- Dual solutions
- Mass transfer
- Moving wedge

### ASJC Scopus subject areas

- Applied Mathematics
- Computational Mathematics

### Cite this

**Falkner-Skan equation for flow past a moving wedge with suction or injection.** / Mohd Ishak, Anuar; Mohd. Nazar, Roslinda; Pop, Ioan.

Research output: Contribution to journal › Article

*Journal of Applied Mathematics and Computing*, vol. 25, no. 1-2, pp. 67-83. https://doi.org/10.1007/BF02832339

}

TY - JOUR

T1 - Falkner-Skan equation for flow past a moving wedge with suction or injection

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2007/9

Y1 - 2007/9

N2 - The characteristics of steady two-dimensional laminar boundary layer flow of a viscous and incompressible fluid past a moving wedge with suction or injection are theoretically investigated. The transformed boundary layer equations are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of Falkner-Skan power-law parameter (m), suction/injection parameter (f0) and the ratio of free stream velocity to boundary velocity parameter (λ) are discussed in detail. The numerical results for velocity distribution and skin friction coefficient are given for several values of these parameters. Comparisons with the existing results obtained by other researchers under certain conditions are made. The critical values of f0, m and λ are obtained numerically and their significance on the skin friction and velocity profiles is discussed. The numerical evidence would seem to indicate the onset of reverse flow as it has been found by Riley and Weidman in 1989 for the Falkner-Skan equation for flow past an impermeable stretching boundary.

AB - The characteristics of steady two-dimensional laminar boundary layer flow of a viscous and incompressible fluid past a moving wedge with suction or injection are theoretically investigated. The transformed boundary layer equations are solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of Falkner-Skan power-law parameter (m), suction/injection parameter (f0) and the ratio of free stream velocity to boundary velocity parameter (λ) are discussed in detail. The numerical results for velocity distribution and skin friction coefficient are given for several values of these parameters. Comparisons with the existing results obtained by other researchers under certain conditions are made. The critical values of f0, m and λ are obtained numerically and their significance on the skin friction and velocity profiles is discussed. The numerical evidence would seem to indicate the onset of reverse flow as it has been found by Riley and Weidman in 1989 for the Falkner-Skan equation for flow past an impermeable stretching boundary.

KW - Boundary layer

KW - Dual solutions

KW - Mass transfer

KW - Moving wedge

UR - http://www.scopus.com/inward/record.url?scp=34548547120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548547120&partnerID=8YFLogxK

U2 - 10.1007/BF02832339

DO - 10.1007/BF02832339

M3 - Article

AN - SCOPUS:34548547120

VL - 25

SP - 67

EP - 83

JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

SN - 1598-5865

IS - 1-2

ER -