The FENE dumbbell model consists of the incompressible NavierStokes equation for the solvent and the Fokker-Planck equation for the polymer distribution. In such a model, the polymer elongation cannot exceed a limit √ b which yields all interesting features of solutions near this limit. This work is concerned with the sharpness of boundary conditions in terms of the elongation parameter b. Thro...

We consider a dilute suspension of dumbbells joined by finitely extendible nonlinear elastic connector evolving under the classical Warner potential , . The solvent consideration is modelled compressible Navier–Stokes system defined on torus with d = 2, 3 coupled Fokker–Planck equation (Kolmogorov forward equation) for probability density function dumbbell configuration. prove existence unique ...

We investigate the effects of helical swimmer shape (i.e., pitch angle and tail thickness) on swimming dynamics in a constant viscosity viscoelastic (Boger) fluid via combination particle tracking velocimetry, image velocimetry 3D simulations FENE-P model. The printed is actuated magnetic field using custom-built rotating Helmholtz coil. Our results indicate that increasing thickness enhances n...

Senile plaques (SPs) and neurofibrillary tangles (NFTs) are hallmark pathologies accompanying the neurodegeneration involved in Alzheimer's disease (AD), for which beta-amyloid (Abeta) peptide is a major constituent of SPs. Our laboratories previously developed the hydrophobic, fluorescent molecular-imaging probe 2-(1-(6-[(2-[(18)F]fluoroethyl)(methyl)amino]-2-naphthyl)ethylidene)malononitrile ...

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...

A thin filament model is used to analyze the stability of a viscoelastic thread subject to uniaxial stretching. Linear stability analysis is carried out for a number of different constitutive models, namely the Johnson–Segalman, Giesekus, Phan–Thien Tanner, and FENE–CR. Our analysis shows that stability is controlled by the competing effects of surface tension which is destabilizing and axial n...