Time Dependent Slip Flow of a Micropolar Fluid between Two Parallel Plates through State Space Approach
Abstract
The unsteady slip flow of a micropolar fluid between two infinite parallel plates is
considered. The linear slip boundary conditions for both velocity and microrotation are
applied on the two boundaries. One of the two plates is set in motion with time dependent
velocity while the other is held fixed. Non-dimensional variables are introduced. The
analytical solution of the problem is obtained using state space technique. The velocity
and microrotation in the physical domain are obtained by inverting their Laplace
transforms numerically. The effects of the micropolarity, velocity slip and microrotation
slip parameters on the velocity and microrotation are discussed through graphs.
Author(s)
Slayi S., Idriss H., Ashmawy A.
Journal/Conference Information
Global Journal of Pure and Applied Mathematics,12(2): 1709-1722