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Taylor-Couette flow of a generalized second grade fluid due to a constant couple. (English) Zbl 1216.35094
Summary: The velocity field and the adequate shear stress, corresponding to the flow of a generalized second grade fluid in an annular region between two infinite coaxial cylinders, are determined by means of Laplace and finite Hankel transforms. The motion is produced by the inner cylinder which is rotating about its axis due to a constant torque $f$ per unit length. The solutions that have been obtained satisfy all imposed initial and boundary conditions. For $\beta\to 1$ or $\beta\to 1$ and $\alpha_1\to 0$, the corresponding solutions for an ordinary second grade fluid, respectively, for the Newtonian fluid, performing the same motion, are obtained as limiting cases.

35Q35PDEs in connection with fluid mechanics
76A05Non-Newtonian fluids
35A22Transform methods (PDE)