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Adsorption of single polymer molecules in shear flow near a planar wall
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10.1063/1.4773859
/content/aip/journal/jcp/138/3/10.1063/1.4773859
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/3/10.1063/1.4773859
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Schematic of a dumbbell in shear flow near a wall. The arrows pointing in opposite directions indicate forces on the beads. (b) The velocity field in the xz-plane induced by each bead of the dumbbell acting as a point force parallel to the wall. The regions where the velocity has a component toward the wall are shaded in gray.

Image of FIG. 2.
FIG. 2.

(a) Contribution of bead-wall HI to the concentration profile at different flow strengths. (b) The concentration profiles at different values of flow strength. The bead-wall interaction parameters are: ɛ s = 4, = 2, c = 12, and d = 6.

Image of FIG. 3.
FIG. 3.

(a) Comparison between concentration profiles predicted from kinetic theory and BD at Wi = 0 and Wi = 15. The bead-wall interaction parameters are: ɛ s = 4, = 2, c = 12, and d = 6. (b) Comparison with BD simulations performed with a Taylor-expanded bead-wall force.

Image of FIG. 4.
FIG. 4.

The LJ potential for different parameter values. The solid curve shows the 12-6 LJ potential with ɛ = 4 and σ = 1. The other curves show how the shape of the potential deviates from the 12-6 LJ curve on increasing ɛ (= 8), σ (= 1.2), c (= 16), and d (= 9).

Image of FIG. 5.
FIG. 5.

Isoadsorbs (a) and (c) and film thickness (b) and (d) as function of and ɛ s at Wi = 0 and Wi = 5. The bead-wall interaction parameters are c = 12 and d = 6. The shaded region shows the part of parameter space corresponding to desorption, i.e., Γ < 0.

Image of FIG. 6.
FIG. 6.

Isoadsorbs (a) and (c) and film thickness (b) and (d) as function of c and d at Wi = 0 and Wi = 5. The bead-wall interaction parameters are ɛ s = 8 and = 2. The region with darker shading shows the parameter space corresponding to desorption, i.e., Γ < 0. The lighter shade indicates the unphysical zone corresponding to cd.

Image of FIG. 7.
FIG. 7.

(a) Widesorb as a function of at ɛ s = 8, c = 12, d = 6, and ɛ s at = 2, c = 12, d = 6. (b) Widesorb as a function of c at ɛ s = 8, = 2, d = 1, and d at ɛ s = 8, = 2, c = 12. Dashed lines are drawn only to guide the eye.

Image of FIG. 8.
FIG. 8.

Widesorb as a function of ɛ s and from kinetic theory and BD simulation predictions for ɛ s . The solid line shows the scaling result predicted from theory.

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/content/aip/journal/jcp/138/3/10.1063/1.4773859
2013-01-18
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Adsorption of single polymer molecules in shear flow near a planar wall
http://aip.metastore.ingenta.com/content/aip/journal/jcp/138/3/10.1063/1.4773859
10.1063/1.4773859
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