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In the present article, the flow of an incompressible Jeffrey fluid in the annulus of rotating concentric cylinders in the presence of magnetic field has been investigated. The governing equations for Jeffrey fluid model are formulated considering cylindrical coordinates system. The constitutive equations for the fluid flow have been simplified under the choice of velocity. The existence of the solution to the momentum equation is established using Schauder's fixed point theorem. The analyticaldoi:10.1007/s40430-018-1232-3 fatcat:xwbjq7mkrra65pqupmvj6sijda