The Role of Elasticity in the Vortex Formation in Polymeric Flow around a Sharp Bend

Fluid dynamic simulations using the FENE-P model of polymer physics are compared to those an incompressible Newtonian fluid base case in order understand role elasticity formation vortices a 90° bend narrow channel. The analysis bridges flow behavior purely elastic and that fluid. We evaluated how four dimensionless numbers—Reynolds number (Re), Weissenberg (Wi), viscosity ratio (?), (El)—affect vortices. It is shown increasing Re Wi, or lowering ? will cause grow size. Two phase space diagrams, vs. El Re, were created show range values where inertial form. Both diagrams have three zones. Depending on number, form either upstream (elasticity driven) downstream (inertia driven), suppressed. Our predictions good agreement with previous experimental numerical works.