Implicit differential equation arising in the steady flow of a Sisko fluid

    Authors

    F. T. Akyildiz; K. Vajravelu; R. N. Mohapatra; E. Sweet;R. A. Van Gorder

    Comments

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    Abbreviated Journal Title

    Appl. Math. Comput.

    Keywords

    Sisko fluid; Implicit function theorem (Dini's theorem); Homotopy; analysis method; NON-NEWTONIAN FLUIDS; THIN-FILM FLOWS; MOVING BELT; Mathematics, Applied

    Abstract

    Consideration is given to the thin film flow of a Sisko fluid on a moving belt. Using the implicit function theorem, an existence result for the solution of the resulting non-linear differential equation is established. Also, the homotopy analysis method is used to obtain approximate analytical solution of the problem for non-integer values of the power index. The numerical results thus obtained are presented graphically and the salient features of the solution are discussed for various values of the power index parameter. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear-thinning reduces the wall shear stress. (C) 2009 Elsevier Inc. All rights reserved.

    Journal Title

    Applied Mathematics and Computation

    Volume

    210

    Issue/Number

    1

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    189

    Last Page

    196

    WOS Identifier

    WOS:000264065700023

    ISSN

    0096-3003

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