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)—affec...

This survey paper reviews recent developments concerning the existence of global weak solutions to Fokker–Planck equations with unbounded drift terms, and coupled Navier–Stokes–Fokker–Planck systems of partial differential equations, that arise in finitely extensible nonlinear elastic (FENE) type kinetic models of incompressible dilute polymeric fluids in the case of general noncorotational flow.

Abstract The multiscale modeling of complex fluids under small and large amplitude oscillatory shear flow using non-linear kinetic transient network models is presented. kinetics microstates analogous to chemical kinetics, which defines the physical macromolecule interaction in a Newtonian fluid, concentration variable maximum length extension for each microstate. effect important parameters li...

The theory for the non-isothermal rheology of polymer fluids proposed in Curtiss and Bird (Adv Polym Sci 125:1–101, 1996) used several approximations including so-called linear gradient temperature field Brownian forces. While it had significant advantage dealing with equations, involved may have led to non-physical predictions. This work is a continuation (1996) that obtains corresponding non-...

In the String & Binders Switch (SBS) model 1,2 a chromatin filament is represented as a self-avoiding (SAW) polymer chain, composed by N beads. Each bead of the chain interacts with diffusing Brownian particles (binders) having a molar concentration c. The scale of their binding energy to a cognate polymer bead is named í µí°¸!"#. The beads of the chain and the binders are subject to Brownian m...

In this paper, we propose an entropy satisfying conservative method to solve the Fokker-Planck equation of FENE dumbbell model for polymers, subject to homogeneous fluids. Both semi-discrete and fully discrete schemes satisfy all three desired properties: i) mass conservation, ii) positivity preserving, and iii) entropy satisfying in the sense that these schemes satisfy discrete entropy inequal...

The flow of viscoelastic liquids with constant shear viscosity through symmetric sudden expansions is studied by numerical means. The geometry considered is planar and the constitutive model follows the modified FENE-CR equation, valid for relative dilute solutions of polymeric fluids. For Newtonian liquids in a 1:3 expansion we predict the result that the flow becomes asymmetric for a Reynolds...