Fourier-Galerkin domain truncation method for Stokes' first problem with Oldroyd four-constant liquid

    Authors

    F. T. Akyildiz; K. Vajravelu;H. Ozekes

    Comments

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    Abbreviated Journal Title

    Comput. Math. Appl.

    Keywords

    Fourier-Galerkin method; Stokes' first problem; Oldroyd four-constant; model; discontinuous boundary condition; quasilinear parabolic equation; regularized boundary layer function; RIVLIN-ERICKSEN FLUID; FLAT-PLATE; MOTION; Computer Science, Interdisciplinary Applications; Mathematics, Applied

    Abstract

    Using the Fourier-Galerkin method with domain truncation strategy, Stokes' first problem for Oldroyd four-constant liquid on a semi-infinite interval is studied. It is shown that the Fourier-Galerkin approximations are convergent on the bounded interval. Moreover, an efficient and accurate algorithm based on the Fourier-Galerkin approximations is developed and implemented in solving the differential equations related to the present problem. Also, the effects of non-Newtonian parameters on the flow characteristics are obtained and analyzed. The method developed here is so general that it can be used to study the mathematical models that involve the flow of viscous fluids with shear rate-dependent properties: For example, models dealing with polymer processing, tribology & lubrication, and food processing. (C) 2007 Elsevier Ltd. All rights reserved.

    Journal Title

    Computers & Mathematics with Applications

    Volume

    55

    Issue/Number

    11

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    2452

    Last Page

    2457

    WOS Identifier

    WOS:000256130100005

    ISSN

    0898-1221

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