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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