Title

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

Authors

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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