Unsteady Flow of a Microstretch Fluid through State Space Approach with Slip Conditions

Authors

S. A. Slayi, Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, LebanonFollow
E. A. Ashmawy, Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, LebanonFollow

Author Country (or Countries)

Lebanon

Abstract

This paper deals with the study of unsteady microstretch Couette and Poiseuille fluid flows between two infinite parallel plates. Analytical expressions for the velocity, microrotation and microstretch of the fluid flows are obtained using Laplace transform together with state space approach. The slip boundary conditions for both velocity and microrotation are applied at the boundaries. The inversion of Laplace transform of the flow field is obtained numerically using a standard numerical technique developed by Honig and Hirdes. The effects of the physical parameters on the velocity, microrotation and microstretch are discussed through graphs.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/120419

Recommended Citation

A. Slayi, S. and A. Ashmawy, E. (2018) "Unsteady Flow of a Microstretch Fluid through State Space Approach with Slip Conditions," Applied Mathematics & Information Sciences: Vol. 12: Iss. 4, Article 19.
DOI: http://dx.doi.org/10.18576/amis/120419
Available at: https://digitalcommons.aaru.edu.jo/amis/vol12/iss4/19