4.6 Article

FALKNER-SKAN EQUATION FOR FLOW PAST A MOVING WEDGE WITH SUCTION OR INJECTION

Journal

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
Volume 25, Issue 1-2, Pages 67-83

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/BF02832339

Keywords

Boundary layer; dual solutions; mass transfer; moving wedge

Funding

  1. Ministry of Science, Technology and Innovation, Malaysia
  2. IRPA [09-02-02-10038-EAR]

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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 (lambda) 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 lambda 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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