Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks

    Authors

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

    Comments

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    Abbreviated Journal Title

    Appl. Math. Comput.

    Keywords

    Navier-Stokes equations; Similarity solution; Stretching disk; Analytical solution; Numerical solution; NAVIER-STOKES EQUATIONS; CONTINUOUS SOLID SURFACES; BOUNDARY-LAYER; EQUATIONS; HOMOTOPY ANALYSIS METHOD; SIMILARITY SOLUTIONS; FLAT SURFACE; CHANNEL; FLUID; WALL; BEHAVIOR; Mathematics, Applied

    Abstract

    In this paper, we consider the axi-symmetric flow between two infinite stretching disks. By using a similarity transformation, we reduce the governing Navier-Stokes equations to a system of nonlinear ordinary differential equations. We first obtain analytical solutions via a four-term perturbation method for small and large values of the Reynolds number R. Also, we apply the Homotopy Analysis Method (which may be used for all values of R) to obtain analytical solutions. These solutions converge over a larger range of values of the Reynolds number than the perturbation solutions. Our results agree well with the numerical results of Fang and Zhang [22]. Furthermore, we obtain the analytical solutions valid for moderate values of R by use of Homotopy Analysis. (C) 2010 Elsevier Inc. All rights reserved.

    Journal Title

    Applied Mathematics and Computation

    Volume

    216

    Issue/Number

    5

    Publication Date

    1-1-2010

    Document Type

    Article

    Language

    English

    First Page

    1513

    Last Page

    1523

    WOS Identifier

    WOS:000276813100016

    ISSN

    0096-3003

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