Slip Effects on Fractional Viscoelastic Fluids
Joint Authors
Jamil, Muhammad
Khan, Najeeb Alam
Source
International Journal of Differential Equations
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-12-20
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Unsteady flow of an incompressible Maxwell fluid with fractional derivative induced by a sudden moved plate has been studied, where the no-slip assumption between the wall and the fluid is no longer valid.
The solutions obtained for the velocity field and shear stress, written in terms of Wright generalized hypergeometric functions pΨq, by using discrete Laplace transform of the sequential fractional derivatives, satisfy all imposed initial and boundary conditions.
The no-slip contributions, that appeared in the general solutions, as expected, tend to zero when slip parameter is θ→0.
Furthermore, the solutions for ordinary Maxwell and Newtonian fluids, performing the same motion, are obtained as special cases of general solutions.
The solutions for fractional and ordinary Maxwell fluid for no-slip condition also obtained as limiting cases, and they are equivalent to the previously known results.
Finally, the influence of the material, slip, and the fractional parameters on the fluid motion as well as a comparison among fractional Maxwell, ordinary Maxwell, and Newtonian fluids is also discussed by graphical illustrations.
American Psychological Association (APA)
Jamil, Muhammad& Khan, Najeeb Alam. 2011. Slip Effects on Fractional Viscoelastic Fluids. International Journal of Differential Equations،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-453457
Modern Language Association (MLA)
Jamil, Muhammad& Khan, Najeeb Alam. Slip Effects on Fractional Viscoelastic Fluids. International Journal of Differential Equations No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-453457
American Medical Association (AMA)
Jamil, Muhammad& Khan, Najeeb Alam. Slip Effects on Fractional Viscoelastic Fluids. International Journal of Differential Equations. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-453457
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453457