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Taylor-Couette flow of an Oldroyd-B fluid in a circular cylinder subject to a time-dependent rotation. (English) Zbl 1177.76011
Summary: The velocity and the shear stress, corresponding to the unsteady flow of an Oldroyd-B fluid in an infinite circular cylinder subject to a time-dependent couple, are established by means of the Hankel transform. The similar solutions for Maxwell, second grade and Newtonian fluids can be obtained as limiting cases of general solutions. Finally, the influence of the material parameters on the velocity profile and the shear stress is spot-lighted by means of graphical illustrations.
MSC:
76A05Non-Newtonian fluids
76U05Rotating fluids