Recently we revisited the mesoscopic theory of linear, entangled polymer chains under fast shear deformations which includes chain stretch, Rouse relaxation, primitive path fluctuations, constraint release [thermal & convective] and reptation process. The model looks at the orientation of the chain along the shear direction as well as stretch of this fully aligned chain at high Weissenberg number. As a result the obtained molecular constitutive equation is a partial differential Langevin equation which accounts for the dynamics of the entire chain inside the tube of constraints surrounding the chain and the dynamics of the tube itself. In this poster we present a simplified version of the molecular tube theory based on a very simple differential constitutive equations for linear polymers. We present a comparison of the proposed equations with experimental data as well as the data exist in the literature.
Taghipour, H., & Van Ruymbeke, E. (2016). Fast shear flows of monodisperse entangled linear polymer systems(Molecular theory). In Michel Cloitre (ed.), Material Science Chair. Michel Cloitre. https://hdl.handle.net/2078.5/249137