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In this paper, the flow of an incompressible non Newtonian fluid between two eccentric cylinders is considered. The aim of this study is to determine the flow in the case of the stationary movement of some viscous fluids between two eccentric cylinders with the generators parallel with Oz axis. Using the Mobius conformal mapping are obtained two concentric cylinders. The expression of velocity is deduced with the separation of variable method.

A novel approach of the conformal mappings with applications in biotribology