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

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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 (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 off 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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Faculty of Science and Technology, National University of Malaysia, 43600, UKM Bangi, Malaysia

    Anuar Ishak & Roslinda Nazar

  2. Faculty of Mathematics, University of Cluj, CP 253, R-3400, Cluj, Romania

    Ioan Pop

Authors
  1. Anuar Ishak
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  2. Roslinda Nazar
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  3. Ioan Pop
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Correspondence to Roslinda Nazar.

Additional information

Supported by Ministry of Science, Technology and Innovation, Malaysia (IRPA Project Code: 09-02-02-10038-EAR).

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Ishak, A., Nazar, R. & Pop, I. Falkner-Skan equation for flow past a moving wedge with suction or injection. J. Appl. Math. Comput. 25, 67–83 (2007). https://doi.org/10.1007/BF02832339

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  • DOI: https://doi.org/10.1007/BF02832339

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