Journals Information
Universal Journal of Applied Mathematics Vol. 2(1), pp. 46 - 49
DOI: 10.13189/ujam.2014.020108
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Application of Homotopy Perturbation Method to a Viscous Incompressible Flow Problem through an Orifice
Abedlkader GASMI *, Afaf SALHI
Laboratory of Pure and Applied Mathematics, Faculty of mathematics and computer science, M'sila University,Algeria
ABSTRACT
This paper concern with the two dimensional, steady flow problem of viscous incompressible fluid through an orifice. A problem of such type has been solved by applying Laplacian-Driver Method or LAD method given by Roache [1]. The resulting system of linear equations is solved by He鈥檚 homotopy perturbation method (HPM). The obtained results give a good agreement with the previous numerical solutions which reveals the effectiveness and convenience of the homotopy perturbation method (HPM).
KEYWORDS
Stream function, Incompressible flow, Cylindrical coordinates, Navier-Stokes equations, He鈥檚 HPM Method
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Abedlkader GASMI , Afaf SALHI , "Application of Homotopy Perturbation Method to a Viscous Incompressible Flow Problem through an Orifice," Universal Journal of Applied Mathematics, Vol. 2, No. 1, pp. 46 - 49, 2014. DOI: 10.13189/ujam.2014.020108.
(b). APA Format:
Abedlkader GASMI , Afaf SALHI (2014). Application of Homotopy Perturbation Method to a Viscous Incompressible Flow Problem through an Orifice. Universal Journal of Applied Mathematics, 2(1), 46 - 49. DOI: 10.13189/ujam.2014.020108.