Solution of the Fractional Form of Unsteady Squeezing Flow through Porous Medium
Joint Authors
Eladdad, E. E.
Lairje, I. A.
Hemeda, A. A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-01
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We propose two friendly analytical techniques called Adomian decomposition and Picard methods to analyze an unsteady axisymmetric flow of nonconducting, Newtonian fluid.
This fluid is assumed to be squeezed between two circular plates passing through porous medium channel with slip and no-slip boundary conditions.
A single fractional order nonlinear ordinary differential equation is obtained by means of similarity transformation with the help of the fractional calculus definitions.
The resulting fractional boundary value problems are solved by the proposed methods.
Convergence of the two methods’ solutions is confirmed by obtaining various approximate solutions and various absolute residuals for different values of the fractional order.
Comparison of the results of the two methods for different values of the fractional order confirms that the proposed methods are in a well agreement and therefore they can be used in a simple manner for solving this kind of problems.
Finally, graphical study for the longitudinal and normal velocity profiles is obtained for various values of some dimensionless parameters and fractional orders.
American Psychological Association (APA)
Hemeda, A. A.& Eladdad, E. E.& Lairje, I. A.. 2017. Solution of the Fractional Form of Unsteady Squeezing Flow through Porous Medium. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1189530
Modern Language Association (MLA)
Hemeda, A. A.…[et al.]. Solution of the Fractional Form of Unsteady Squeezing Flow through Porous Medium. Mathematical Problems in Engineering No. 2017 (2017), pp.1-16.
https://search.emarefa.net/detail/BIM-1189530
American Medical Association (AMA)
Hemeda, A. A.& Eladdad, E. E.& Lairje, I. A.. Solution of the Fractional Form of Unsteady Squeezing Flow through Porous Medium. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-16.
https://search.emarefa.net/detail/BIM-1189530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1189530