Numerical Analysis of Extrudate Swell in Viscoelastic Materials with Yield Stress

Simulation of viscoelastic and viscoelastoplastic die-swell flows

“…Weissenberg number, We = 5. Findings on swell reveal, as shown by others [13], that viscoplastic influences counter those due to elasticity, with elevation in plasticity suppressing swell whilst rise in elasticity stimulates swell. Hence, jet swelling is observed to reduce as yield stress level (s o ) rises (akin to inertial over viscous response, governed by zero shear-rate viscosity), so that, the minimum swell corresponds to the instance with the largest yield stress (s o = 0.1).…”

“…Beverly and Tanner [13] proposed a suitable model for viscoelastoplastic response, in simulating some experiments on plasticpropellant dough [14]. These authors [13] employed a HerschelBulkley model for plasticity, alongside a linearised viscoelastic Phan-Thien/Tanner model (LPTT).…”

“…These authors [13] employed a HerschelBulkley model for plasticity, alongside a linearised viscoelastic Phan-Thien/Tanner model (LPTT). Such a LPTT model, of shearthinning, sustained strain-hardening quality, is held suitable to represent the material properties of some common polymer-solutions.…”

An augmented Lagrangian approach to Bingham fluid flows in a lid-driven square cavity with piecewise linear equal-order finite elements

“…Other than the successful approaches studied in [4][5][6]16,30], the numerical approaches in the literature can be classified into two main categories: one is through a highly-viscous Newtonian approximation of the constitutive law for the viscoplastic fluid studied, some examples are [1,2,7,20,21,24,25,29,34], the other is through a variational reformulation combining the momentum equations and the constitutive law [11]. A detailed review and discussion of the existing numerical approaches can be found in [17].…”

Numerical Model for Laminar Flow in Agitated Vessel by tow Blades Impeller

“…This model is used by O'Donovan and Tanner [13] and Beverly and Taner [15], they have adopted a viscosity ratio equal to 1000 in order to obtain good results. It's also used in investigations carried out by RAHMANI et al [16][17].…”