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Flows of generalized Oldroyd-B fluids in curved pipes

Pires, Marília; Sequeira, Adélia

Parabolic Problems, Progress in Nonlinear Differential Equations and Their Applications, Springer Basel, 80 (2011), 21-43

The aim of this work is to present a numerical study of generalized Oldroyd-B flows with shear-thinning viscosity in a curved pipe of circular cross section and arbitrary curvature ratio. Flows are driven by a given pressure gradient and behavior of the solutions is discussed with respect to different rheologic and geometric flow parameters.