Mesoscopic Rhelogical Model for Polymeric Media Flows

The paper presents the numerical study for the problem of the one-dimensional flow of viscoelastic liquid polymer between two parallel plates. The equations of rheological modified Vinogradov--Pokrovskii (mVP) model is used for the formulation of the problem. It is shown that the problem could have multiple steady-state solutions. The evaluation of non-steady solutions was performed to see if the time-dependent solutions got eventually attracted by the steady ones. Also for the case of multiple steady solutions it was checked which one attracts the non-steady solution if any. The evaluation of time-dependent solutions was used to estimate the stability of the equilibrium states. It is revealed that stable steady-state regimes of the problem exist under certain conditions and also that there could be no more than one stable regime for any given set of parameters. The calculations were performed to estimate the values of Reynolds and Weissenberg numbers corresponding to either stable or unstable steady regime. The result indicates that instability of the steady flow could possibly occur for arbitrarily low Reynolds number under certain balance of viscous and elastic forces.

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Historical Review of Secondary Entry Flows in Polymer Melt Extrusion

Musil

Zatloukal

2018

Polymer Reviews

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Mesoscopic Rhelogical Model for Polymeric Media Flows

Cited by 4 publications

References 14 publications

Modeling of nonlinear effects in the theory of the flow of polymer liquids when superposition periodic oscillations on a stationary shear flow

Modeling of nonlinear effects in the theory of the flow of polymer liquids when superposition periodic oscillations on a stationary shear flow

Stabilization of the flat Poiseuille-type flow for viscoelastic polymeric liquid

Historical Review of Secondary Entry Flows in Polymer Melt Extrusion

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