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A note on an unsteady flow of an Oldroyd-B fluid. (English) Zbl 1085.76005

Summary: The velocity fields and the associated tangential tractions corresponding to the flow induced by a flat plate that applies a specified stress in an Oldroyd-B fluid are determined by means of Fourier cosine transforms. The solutions corresponding to a Maxwell, second-grade, and Navier-Stokes fluid appear as limiting cases of the solutions established here.

MSC:

76A10 Viscoelastic fluids
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