Analytical and numerical solutions of a coupled non-linear system arising in a three-dimensional rotating flow

    Authors

    K. Vajravelu;B. V. R. Kumar

    Comments

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    Abbreviated Journal Title

    Int. J. Non-Linear Mech.

    Keywords

    STRETCHING SHEET; HEAT-TRANSFER; VISCOELASTIC FLUID; BOUNDARY-LAYER; ASYMMETRIC FLOW; MASS-TRANSFER; DISKS; SUCTION; PLATE; Mechanics

    Abstract

    Hydromagnetic flow between two horizontal plates in a rotating system, where the lower is a stretching sheet and the upper is a porous solid plate (in the presence of a magnetic field), is analyzed. The equations of conservation of mass and momentum are reduced to a system of coupled non-linear ordinary differential equations. These basic non-linear differential equations, for the velocity field (f',f,g), are solved numerically by using a fourth-order Runge-Kutta integration scheme. The numerical results thus obtained are validated by the analytical results (for small R) obtained by the perturbation technique and presented through graphs. Also, the effects of the non-dimensional parameters R, lambda, M-2 and K-2 on the velocity field are discussed, and it is shown that for large K-2, the coriolis force and the magnetic field that act against the pressure gradient cause reverse flow. (C) 2003 Elsevier Science Ltd. All rights reserved.

    Journal Title

    International Journal of Non-Linear Mechanics

    Volume

    39

    Issue/Number

    1

    Publication Date

    1-1-2004

    Document Type

    Article

    Language

    English

    First Page

    13

    Last Page

    24

    WOS Identifier

    WOS:000185556400002

    ISSN

    0020-7462

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