Abstract
The behaviour of viscoelastic fluids, represented by a modified Rivlin-Ericksen constitutive equation, in the inlet region of an annulus has been studied using a boundary layer analysis. It was found that viscoelasticity changes the magnitude of the entrance length depending upon the fluid parametersn, s and Ws/Re. There exist certain values ofn ands below which the entrance length for viscoelastic fluids is longer and above which is shorter than the inelastic fluids of the samen. The effect of fluid elasticity on the flow field depends strongly on the relative magnitudes of elastic and inertial forces, or the ratio of Weissenberg to Reynolds numbers. It was also found that the excess pressure drop in the entrance region is greater for viscoelastic fluids.
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