Dilute polymer flow incorporating slippage and polymer migration: Model formulation and predictions.
Abstract
In this talk, we present a model for dilute micellar solutions that includes both slippage effects and polymer migration effects. This model incorporates features of the higher order stress models as well as features of the Johnson-Segalman model. We will show how new high order terms in the system arise through the configuration function associated with its underlying bead spring model. The resulting model predicts shear banding in polymer flows as well as the sudden apparent-viscosity drop and hysteresis under stress increments as observed in experiments in simple shear flows and flows in axisymmetric geometries. The linear stability of solutions along the flow curve demonstrate that the inclusion of the higher order stress terms in the model which couple stress and number density provide a selection mechanism in multi-valued regions of the flow curve.
- Publication:
-
APS Division of Fluid Dynamics Meeting Abstracts
- Pub Date:
- November 2003
- Bibcode:
- 2003APS..DFD.JR009C