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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.

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