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The first problem of Stokes for an Oldroyd-B fluid. (English) Zbl 1287.76044
Summary: The velocity field and the associated tangential tension corresponding to the flow of an Oldroyd-B fluid over a suddenly moved flat plate are determined. The well-known solutions for a Navier-Stokes fluid, as well as those corresponding to a Maxwell fluid and a second-grade one, appear as limiting cases of our solutions. Finally, some comparative diagrams concerning the velocity and tension profiles are presented for different values of the material constants.

MSC:
76A10 Viscoelastic fluids
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