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An Exact Solution for a Boundary Value Problem with Application in Fluid Mechanics and Comparison with the Regular Perturbation Solution
Joint Authors
Ebaid, Abdelhalim
Khaled, S. M.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The exact solution for any physical model is of great importance in the applied science.
Such exact solution leads to the correct physical interpretation and it is also useful in validating the approximate analytical or numerical methods.
The exact solution for the peristaltic transport of a Jeffrey fluid with variable viscosity through a porous medium in an asymmetric channel has been achieved.
The main advantage of such exact solution is the avoidance of any kind of restrictions on the viscosity parameter α, unlike the previous study in which the restriction α ≪ 1 has been put to achieve the requirements of the regular perturbation method.
Hence, various plots have been introduced for the exact effects of the viscosity parameter, Daray’s number, porosity, amplitude ratio, Jeffrey fluid parameter, and the amplitudes of the waves on the pressure rise and the axial velocity.
These exact effects have been discussed and further compared with those approximately obtained in the literature by using the regular perturbation method.
The comparisons reveal that remarkable differences have been detected between the current exact results and those approximately obtained in the literature for the axial velocity profile and the pressure rise.
American Psychological Association (APA)
Ebaid, Abdelhalim& Khaled, S. M.. 2014. An Exact Solution for a Boundary Value Problem with Application in Fluid Mechanics and Comparison with the Regular Perturbation Solution. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033575
Modern Language Association (MLA)
Ebaid, Abdelhalim& Khaled, S. M.. An Exact Solution for a Boundary Value Problem with Application in Fluid Mechanics and Comparison with the Regular Perturbation Solution. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033575
American Medical Association (AMA)
Ebaid, Abdelhalim& Khaled, S. M.. An Exact Solution for a Boundary Value Problem with Application in Fluid Mechanics and Comparison with the Regular Perturbation Solution. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033575
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033575