New direction and perspectives in elastic instability and turbulence in various viscoelastic flow geometries without inertia

I shortly describe the main results on elastically driven instabilities and elastic turbulence in viscoelastic inertia-less flows with curved streamlines. Then a theory of prediction waves at Re<<1 Wi>>1, which speed depends stress similarly to Alfven magneto-hydrodynamics contrast all other fluid wave depending medium elasticity. Since established testified mechanism instability curvilinear streamlines becomes ineffective zero curvature, so parallel shear are proved linearly stable, similar Newtonian flows. However, linear stability does not imply their global stability. Here switch subject, namely recent development channel flow polymer solutions. In such flow, we discover an instability, turbulence, waves, drag reduction down relaminarization that contradicts prediction. this regard, discuss normal versus non-normal bifurcations flows, resistance, velocity pressure fluctuations, spatial spectral as function Wi high elasticity number.