Title

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

Authors

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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