Stability Analysis of a Plane Poiseuille Flow of Multilayered Viscoelastic Fluids: An Energetic Approach
Keyword(s):
Coextrusion flows of compatible polymers are known to be generally more stable than the same flows of incompatible systems. It is shown in this paper that the weak response to disturbance of such flows can be predicted by formulating an energetic approach of the problem. The energy dissipated by the interdiffusion process is evaluated which allows stability maps to be obtained for Newtonian and Oldroyd-B fluids. These maps show the increase of the stable domain in the case of compatible polymeric systems for both Newtonian and viscoelastic fluids.