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A note on the flow induced by a constantly accelerating plate in an Oldroyd-B fluid. (English) Zbl 1287.76047
Summary: The velocity field and the adequate tangential stress that is induced by the flow due to a constantly accelerating plate in an Oldroyd-B fluid, are determined by means of Fourier sine transforms. The solutions corresponding to a Maxwell, Second grade and Navier-Stokes fluid appear as limiting cases of the solutions obtained here. However, in marked contrast to the solution for a Navier-Stokes fluid, in the case of an Oldroyd-B fluid oscillations are set up which decay exponentially with time.

76A10 Viscoelastic fluids
Full Text: DOI
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