The breakup and coalescence of drops are elementary topological transitions in interfacial
flows. The breakup of a drop changes dramatically when polymers are added to the fluid …

We investigate the rapid spreading dynamics of a viscoelastic drop on a solid. Upon contact,
surface tension drives a fast motion of the contact line along the substrate. Here we resolve …

In this work we investigate the laminar flow through square–square sudden contractions with
various contraction ratios (CR= 2.4, 4, 8 and 12), using a Newtonian fluid and a shear …

We verify numerically the theoretical stress singularities for two viscoelastic models that
occur at sharp corners. The models considered are the Giesekus and Phan-Thien–Tanner …

In flows with re-entrant corners, polymeric fluids can exhibit a recirculation region along the
wall upstream from the corner. In general, the formation of these vortices is controlled by …

This work presents a numerical study of the 4: 1 planar contraction flow of a viscoelastic fluid
described by the simplified Phan-Thien–Tanner model under the influence of slip boundary …

The steady planar and cylindrical stick-slip flows for a viscoelastic fluid are computed using
the Phan-Thien and Tanner (PTT) constitutive model. The mixed finite element method is …

We consider the planar flow of Phan-Thien-Tanner (PTT) fluids in geometries where a
singular stress is encountered. The main problem considered is flow around a sharp corner …

Viscoelastic fluids can be difficult to model due to the wide range of different physical
behaviors that polymer melts can exhibit. One such feature is the viscous elastic boundary …

We revisit the situation of steady planar flow of Phan–Thien–Tanner (PTT) fluids around re-
entrant corners of angles π/α where 1/2≤ α< 1. The model is considered in the absence of a …