Generalized Integral Transform Solution for hydrodynamically developing non-Newtonian flows in circular tubes

The Generalized Integral Transform Technique (GM') is applied to the solution of the momentum equations in a hydrodynamically developing laminar flow of a non-Newtonian power-law fluid inside a circular duct. A primitive variables formulation is adopted in order to avoid the singularity of the...

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Bibliographic Details
Published in:Journal of the Brazilian Society of Mechanical Sciences and Engineering 2006-03, Vol.28 (1), p.125-125
Main Authors: Nascimento, Shirley C. C., Macêdo, Emanuel N., Quaresma, João N. N.
Format: Article
Language:English
Subjects:
ENGINEERING, MECHANICAL
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Summary:The Generalized Integral Transform Technique (GM') is applied to the solution of the momentum equations in a hydrodynamically developing laminar flow of a non-Newtonian power-law fluid inside a circular duct. A primitive variables formulation is adopted in order to avoid the singularity of the auxiliary eigenvalue problem in terms of Bessel functions at the centerline of the duct when the GITT approach is applied. Results for the velocity field and friction factor-Reynolds number product are computed for different power-law indices, which are tabulated and graphically presented as functions of the dimensionless coordinates. Critical comparisons with previous results in the literature are also performed, in order to validate the numerical codes developed in the present work and to demonstrate the consistency of the final results.
ISSN:1678-5878
1806-3691
1678-5878
DOI:10.1590/S1678-58782006000100015