Abstract:
The constitutive relations used in numerical modeling of coupled polymeric solution are mostly
obtained by a pre-averaging approximation of the underlying micro-mechanical model for polymer.
However, in time-dependent elongational flows, such models are known to deviate from the
predictions obtained by the original micro-mechanical models. An alternate approach, where
one couples the macroscopic flow solver with microscopic Brownian dynamics simulations, is
increasingly being used. In such an approach, the ensemble-averaged configuration statistics are
obtained by solving the system of Langevin equations for the polymer which are then coupled
with the Navier-Stokes description for the solvent.
