Journal of Non-Newtonian Fluid Mechanics, Vol.154, No.1, 52-64, 2008
Lubricated cross-slot flow of a low density polyethylene melt
Flow-induced birefringence and particle tracking velocimetry are used to investigate the lubricated flow of a low density polyethylene melt in a cross-slot geometry. The numerical predictions of the extended Pom-Pom (XPP) model in its original and modified (mXPP) version as well as those of the Giesekus model are analyzed along selected streamlines in two-dimensional (213) complex flows involving a mixture of shear and planar extensional deformations at two Weissenberg numbers of Wi = 21 and 29. Oil film light reflections perturbing the particle tracking velocimetry data analysis together with multiple orders of retardation occurring within the laser beam close to the stagnation point prevent a conclusive discrimination between the mentioned models. Although the agreement with the experimental data is mostly qualitative, the Pom-Pom model does not overestimate the data along the cross-slot symmetry lines contrary to what was observed in other cross-slot experiments without lubrication. This is a clear indicator that end effects play a central role in unlubricated cross-slot geometries having a large aspect ratio. (c) 2008 Elsevier B.V. All rights reserved.
Keywords:lubrication;stagnation flow;flow-induced birefringence;end effects;particle tracking velocimetry;numerical simulations;Pom-pom models