We numerically investigate inertial flows of viscoelastic fluids within a three-dimensional
cross-slot geometry of square cross-section. Our study focuses on the inertial instability that
occurs above a critical Reynolds number (Re) resulting in a transition to a steady flow
asymmetry. We investigate numerically the effects of elasticity upon its characteristics by
employing the upper-convected Maxwell (UCM), the Oldroyd-B and the modified Chilcott–
Rallison finitely extensible nonlinear elastic (FENE–MCR) models. In so doing, we show that …