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

Research output: Contribution to journalArticle

62 Citations (Scopus)

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 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.

Original languageEnglish
Pages (from-to)67-83
Number of pages17
JournalJournal of Applied Mathematics and Computing
Volume25
Issue number1-2
DOIs
Publication statusPublished - Sep 2007

Fingerprint

Falkner-Skan Equation
Suction
Wedge
Injection
Skin friction
Skin Friction
Laminar boundary layer
Boundary layer flow
Velocity distribution
Stretching
Boundary Layer Flow
Boundary layers
Friction Coefficient
Velocity Distribution
Laminar Flow
Velocity Profile
Finite Difference Scheme
Viscous Fluid
Incompressible Fluid
Critical value

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.

In: Journal of Applied Mathematics and Computing, Vol. 25, No. 1-2, 09.2007, p. 67-83.

Research output: Contribution to journalArticle

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