Title

Implicit Differential Equation Arising In The Steady Flow Of A Sisko Fluid

Keywords

Homotopy analysis method; Implicit function theorem (Dini's theorem); Sisko fluid

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. © 2009 Elsevier Inc. All rights reserved.

Publication Date

4-1-2009

Publication Title

Applied Mathematics and Computation

Volume

210

Issue

1

Number of Pages

189-196

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.amc.2008.12.073

Socpus ID

61649112410 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/61649112410

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