Abstract
Rectilinear oscillatory pressure-driven motion of Oldroyd fluids with complex dynamic viscosity within straight rectangular ducts is described. The linear viscoelastic flow solutions are given as functions of a Stokes number, the ratio of cross-section side lenghts and two Oldroyd time constants. Exact analysis and numerical approximate solutions via finite difference methods are shown, as well as suggestions for applying the theory to measure viscoelastic material properties.
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