THE NUMERICAL AND ANALYTICAL SOLUTION OF PERISTALTIC FLOW OF A JEFFREY FLUID IN AN INCLINED TUBE WITH PARTIAL SLIP

In the present article, we have discussed the closed-form analytical and numerical solutions of the peristaltic flow of a Jeffrey fluid in an inclined tube with different viscosities and with different wave shapes. The closed-form analytical solutions have been computed by Adomian decomposition meth...

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Bibliographic Details
Published inJournal of mechanics in medicine and biology Vol. 11; no. 4; pp. 773 - 802
Main Authors NADEEM, S., AKBAR, NOREEN SHER, NAZ, TABINDA
Format Journal Article
LanguageEnglish
Published World Scientific Publishing Company 01.09.2011
Subjects
Computation
Computational fluid dynamics
Exact solutions
Fluid flow
Fluids
Mathematical analysis
Mathematical models
Tubes
Jeffrey fluid
Adomian decomposition method
peristaltic flow
finite difference method
partial slip
inclined tube
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Summary:In the present article, we have discussed the closed-form analytical and numerical solutions of the peristaltic flow of a Jeffrey fluid in an inclined tube with different viscosities and with different wave shapes. The closed-form analytical solutions have been computed by Adomian decomposition method and the numerical solutions have been calculated using finite difference technique. A comparison of numerical and analytical solutions have been presented and found a very good agreement between the two solutions. The expressions for pressure rise and friction forces are computed using numerical integration with the help of mathematics software. At the end various physical parameters appearing in the problem are shown pictorially and the results have been discussed in detail. The phenomena for different wave shape are also discussed.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0219-5194
1793-6810
DOI:10.1142/S0219519411003946