Analytical solution for the unsteady MHD flow of a viscous fluid between moving parallel plates

    Authors

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

    Comments

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    Abbreviated Journal Title

    Commun. Nonlinear Sci. Numer. Simul.

    Keywords

    Navier-Stokes equations; Squeezing flow; Homotopy analysis method; MHD; flow; HOMOTOPY ANALYSIS METHOD; MAGNETOHYDRODYNAMIC LUBRICATION FLOW; NONLINEAR DIFFERENTIAL-EQUATIONS; SQUEEZING FLOW; GENERAL-APPROACH; ELLIPTIC PLATES; INERTIA; FILMS; Mathematics, Applied; Mathematics, Interdisciplinary Applications; Mechanics; Physics, Fluids & Plasmas; Physics, Mathematical

    Abstract

    Two-dimensional unsteady MHD flow of a viscous fluid between two moving parallel plates is considered. We allow the plates to move together as well as apart: When the plates move together it corresponds to squeezing flow problem. The governing Navier-Stokes equations for the flow are reduced to a fourth order nonlinear ODE and analytical solutions are obtained for the ODE via the homotopy analysis method. We show that the flow is strongly influenced by the strength of the magnetic field and the density of the fluid. Furthermore, an error analysis for the obtained solutions is provided. (C) 2010 Elsevier B.V. All rights reserved.

    Journal Title

    Communications in Nonlinear Science and Numerical Simulation

    Volume

    16

    Issue/Number

    1

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    266

    Last Page

    273

    WOS Identifier

    WOS:000282154900024

    ISSN

    1007-5704

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