The steady laminar two-dimensional magnetohydrodynamic (MHD) stagnation-point flow of an incompressible viscous fluid impinging normal to a nonlinearly stretching/shrinking flat sheet in the presence of a nonuniform magnetic field applied in the positive y -direction normal to the flat sheet is considered. The governing system of partial differential equations is first transformed into ordinary differential equations and solved numerically using an implicit finite-difference scheme known as the Keller-box method. The effects of the magnetic parameter M , the velocity exponent parameter m , and the stretching/shrinking parameter ε on the flow field are discussed. It is found that the magnitude of the skin friction coefficient | f ( 0 ) | increases with both the magnetic parameter M and the velocity exponent parameter m , when the stretching velocity differs from the free-stream velocity ( ε 1 ), and is zero when ε = 1 . For a fixed value of the magnetic parameter M , a unique or dual solutions are found for the shrinking sheet, depending on the values of the parameters m and ε .


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    Title :

    MHD Stagnation-Point Flow over a Nonlinearly Stretching/Shrinking Sheet


    Contributors:

    Published in:

    Publication date :

    2011-12-14


    Size :

    62013-01-01 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English