Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method
Joint Authors
Ching, Dennis Ling Chuan
Salah, Faisal
Abdul Aziz, Zainal
Nazari, Mojtaba
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-09
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The homotopy analysis method (HAM) is applied to obtain the approximate analytic solution of a constant accelerated flow for a third-grade fluid in a porous medium and a rotating frame.
HAM is an analytic technique which provides us with a new way to obtain series solutions of such nonlinear problems.
The approximate analytic solution for constant accelerated flow is obtained by using HAM.
HAM contains the auxiliary parameter ℏ, which provides us with a straightforward way to obtain the convergence region of the series solution.
Graphical results are plotted and the consequences discussed.
The obtained solutions clearly satisfy the governing equations and all the imposed initial and boundary conditions.
Many interesting results can be obtained as the special cases of the presented analysis.
The influence of the material parameters of a third-grade fluid and rotation upon the velocity field is finally deliberated.
American Psychological Association (APA)
Abdul Aziz, Zainal& Nazari, Mojtaba& Salah, Faisal& Ching, Dennis Ling Chuan. 2012. Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001746
Modern Language Association (MLA)
Abdul Aziz, Zainal…[et al.]. Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method. Mathematical Problems in Engineering No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-1001746
American Medical Association (AMA)
Abdul Aziz, Zainal& Nazari, Mojtaba& Salah, Faisal& Ching, Dennis Ling Chuan. Constant Accelerated Flow for a Third-Grade Fluid in a Porous Medium and a Rotating Frame with the Homotopy Analysis Method. Mathematical Problems in Engineering. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-1001746
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1001746