https://doi.org/10.1140/epjp/i2016-16181-8
Regular Article
Unsteady flow of generalized Casson fluid with fractional derivative due to an infinite plate
1
Basic Engineering Sciences Department, College of Engineering Majmaah University, P.O. Box 66, 11952, Majmaah, Saudi Arabia
2
Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
3
Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania
* e-mail: i.said@mu.edu.sa
Received:
27
February
2016
Accepted:
1
May
2016
Published online:
1
June
2016
The Caputo time-fractional derivative is introduced in the constitutive model of a generalized Casson fluid which is moving over an infinite, oscillating flat plate. Exact solutions for the fluid velocity and shear stress are obtained using the Laplace transform method. Closed forms of solutions are written in terms of Wright functions. The obtained solutions can be easily particularized for ordinary Casson fluid, viscous fluid with fractional derivative and ordinary viscous fluid. Numerical simulations are carried out for fractional parameter and Casson fluid parameter and results are shown in graphical illustrations.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
