Analytical solutions for the unsteady MHD rotating flow over a rotating sphere near the equator

    Authors

    E. Sweet; K. Vajravelu;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Cent. Eur. J. Phys.

    Keywords

    rotating flow; magneto-hydrodynamic flow; Navier-Stokes equations; nonlinear system; analytical solution; ROTATIONALLY SYMMETRIC FLOW; HOMOTOPY ANALYSIS METHOD; NONLINEAR; DIFFERENTIAL-EQUATIONS; LAMINAR BOUNDARY-LAYER; NON-UNIQUE SOLUTIONS; VISCOUS-FLUID; SWIRLING FLOW; SERIES SOLUTIONS; GENERAL-APPROACH; ASYMMETRIC FLOW; Physics, Multidisciplinary

    Abstract

    In this paper we investigate the three-dimensional magnetohydrodynamic (MHD) rotating flow of a viscous fluid over a rotating sphere near the equator. The Navier-Stokes equations in spherical polar coordinates are reduced to a coupled system of nonlinear partial differential equations. Self-similar solutions are obtained for the steady state system, resulting from a coupled system of nonlinear ordinary differential equations. Analytical solutions are obtained and are used to study the effects of the magnetic field and the suction/injection parameter on the flow characteristics. The analytical solutions agree well with the numerical solutions of Chamkha et al. [31]. Moreover, the obtained analytical solutions for the steady state are used to obtain the unsteady state results. Furthermore, for various values of the temporal variable, we obtain analytical solutions for the flow field and present through figures.

    Journal Title

    Central European Journal of Physics

    Volume

    9

    Issue/Number

    1

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    167

    Last Page

    175

    WOS Identifier

    WOS:000282175800018

    ISSN

    1895-1082

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