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A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity : By Means of Homotopy Analysis Method
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-14
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This work is concerned with the series solutions for the flow of third-grade non-Newtonian fluid with variable viscosity.
Due to the nonlinear, coupled, and highly complicated nature of partial differential equations, finding an analytical solution is not an easy task.
The homotopy analysis method (HAM) is employed for the presentation of series solutions.
The HAM is accepted as an elegant tool for effective solutions for complicated nonlinear problems.
The solutions of (Hayat et al., 2007) are developed, and their convergence has been discussed explicitly for two different models, namely, constant and variable viscosity.
An error analysis is also described.
In addition, the obtained results are illustrated graphically to depict the convergence region.
The physical features of the pertinent parameters are presented in the form of numerical tables.
American Psychological Association (APA)
Ellahi, R.. 2012. A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity : By Means of Homotopy Analysis Method. Advances in Mathematical Physics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-486901
Modern Language Association (MLA)
Ellahi, R.. A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity : By Means of Homotopy Analysis Method. Advances in Mathematical Physics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-486901
American Medical Association (AMA)
Ellahi, R.. A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity : By Means of Homotopy Analysis Method. Advances in Mathematical Physics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-486901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486901