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On the Flow of a Third Grade Viscoelastic Fluid in an Orthogonal Rheometer

The flow of a third grade fluid in an orthogonal rheometer is studied. We employ the admissible velocity field proposed in [5]. We solve the problem and obtain the velocity field as well as the components for the Cauchy tensor. We compare the results with those from [9]. Some diagrams concerning the velocity and Cauchy stress components profiles are presented for different values of material constants and compared with the corresponding values for a linear viscous fluid. Keywords—Non newtonian fluid flow, orthogonal rheometer, third grade fluid.