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Modeling a tethered polymer in Poiseuille flow
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View: Figures


Image of FIG. 1.
FIG. 1.

Diagram of the system simulated.

Image of FIG. 2.
FIG. 2.

Polymer configurations as a function of increasing applied pressure. In each case 200 independent configurations are superimposed to show the volume mapped out by the polymer. The system is shown at varying degrees of magnification, the actual channel (the light grey area) width does not change.

Image of FIG. 3.
FIG. 3.

Axial spans along for a 100-bead polymer at different applied pressures: (a) , unperturbed sphere (parabolic fit); (b) , perturbed sphere; (c) , trumpet (hyperbolic fit); (d) , flower (linear fit to stem); and (e) , rod (linear fit).

Image of FIG. 4.
FIG. 4.

Comparison of the axial spans in the - and -directions for a 100-bead polymer at different applied pressures.

Image of FIG. 5.
FIG. 5.

(a) Average drag force per unit length as a function of , the distance along the flow axis from the tethered end of the polymer. (b) Comparison of the negative of the drag, integrated from the grafting point to , with the average spring tension at . These results are for a 100-bead tethered polymer at an applied pressure of 0.01.

Image of FIG. 6.
FIG. 6.

(a) Extension as a function of peak flow velocity for chains of length 50, 100, 200, and 400 beads. (b) The same data plotted in terms of the scaled variables and the Weissenberg number .

Image of FIG. 7.
FIG. 7.

A comparison of the solvent flow profiles across a system with and without a tethered polymer at applied pressures of (a) 0.02, (b) 0.001, and (c) 0.005.

Image of FIG. 8.
FIG. 8.

The pressure-velocity relation for the solvent-only system and for a system with a 50- or 100-bead grafted polymer shown on (a) log-log and (b) linear-linear scales.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Modeling a tethered polymer in Poiseuille flow