An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid
Joint Authors
Abd Elazem, Nader Y.
Ebaid, Abdelhalim
El-Arabawy, Hassan A.
Source
International Journal of Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-16
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The main feature of the boundary layer flow problems of nanofluids or classical fluids is the inclusion of the boundary conditions at infinity.
Such boundary conditions cause difficulties for any of the series methods when applied to solve such a kind of problems.
In order to solve these difficulties, the authors usually resort to either Padé approximants or the commercial numerical codes.
However, an intensive work is needed to perform the calculations using Padé technique.
Due to the importance of the nanofluids flow as a growing field of research and the difficulties caused by using Padé approximants to solve such problems, a suggestion is proposed in this paper to map the semi-infinite domain into a finite one by the help of a transformation.
Accordingly, the differential equations governing the fluid flow are transformed into singular differential equations with classical boundary conditions which can be directly solved by using the differential transformation method.
The numerical results obtained by using the proposed technique are compared with the available exact solutions, where excellent accuracy is found.
The main advantage of the present technique is the complete avoidance of using Padé approximants to treat the infinity boundary conditions.
American Psychological Association (APA)
Ebaid, Abdelhalim& El-Arabawy, Hassan A.& Abd Elazem, Nader Y.. 2013. An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid. International Journal of Differential Equations،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-504578
Modern Language Association (MLA)
Ebaid, Abdelhalim…[et al.]. An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid. International Journal of Differential Equations No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-504578
American Medical Association (AMA)
Ebaid, Abdelhalim& El-Arabawy, Hassan A.& Abd Elazem, Nader Y.. An Improvement of the Differential Transformation Method and Its Application for Boundary Layer Flow of a Nanofluid. International Journal of Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-504578
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504578