We consider stagnation point flow away from a wall for creeping flow of dilute polymer solutions. For a simplified flow geometry, we explicitly show that a narrow region of strong polymer extension (a birefringent strand) forms downstream of the stagnation point in the UCM model and extensions, like the FENE-P model. These strands are associated with the existence of an essential singularity in...

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 two-dimensional linear stability of creeping plane Couette and Poiseuille flow of a viscoelastic fluid with viscous heating is investigated using a Galerkin-type Chebyshev collocation approach and a non-isothermal formulation of the FENE-P constitutive model. Viscous heating is observed to have a destabilizing/stabilizing tendency for Couette/Poiseuille flow at long to moderate disturbanc...

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...

We study translocation dynamics of a driven compressible semi-flexible chain consisting of alternate blocks of stiff (S) and flexible (F ) segments of size m and n respectively for different chain length N in two dimension (2D). The free parameters in the model are the bending rigidity κb which controls the three body interaction term, the elastic constant kF in the FENE (bond) potential betwee...