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Cross-stream-line migration in confined flowing polymer solutions: Theory and simulation
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10.1063/1.2397571
/content/aip/journal/pof2/18/12/10.1063/1.2397571
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/12/10.1063/1.2397571
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of different regimes of confinement: (a) Single wall confinement; (b) weak confinement: ; (c) strong confinement: ; and (d) extreme confinement: .

Image of FIG. 2.
FIG. 2.

Time evolution of axially averaged fluorescence intensity of fluorescent labeled T2-DNA solution as a function of cross-sectional position. The channel walls are at . The solution is undergoing oscillatory pressure-driven flow at a maximum strain rate of and a frequency of in a microchannel (Ref. 12). The bright band at the center indicates higher concentration of T2-DNA molecule and the dark region represents the depletion layer near the channel walls.

Image of FIG. 3.
FIG. 3.

Steady-state center-of-mass concentration profiles predicted by theory, using the Stokeslet-doublet (far-field) approximation, and the BD simulation at , 5, 10, and 20 in simple shear flow. The concentration is normalized by its value at .

Image of FIG. 4.
FIG. 4.

Migration velocity scaled with the point-dipole value for different dumbbell (force-dipole) sizes, as a function of distance from the wall.

Image of FIG. 5.
FIG. 5.

Near-field center-of-mass steady-state concentration profiles predicted by theory, using the Stokeslet-doublet (far-field) approximation and finite-size dumbbells, and the BD simulation at in simple shear flow.

Image of FIG. 6.
FIG. 6.

Steady-state center-of-mass concentration profiles predicted by theory, using the Stokeslet-doublet (far-field) approximation, and the BD simulation of 10 springs chains, at and 10 in simple shear flow.

Image of FIG. 7.
FIG. 7.

Steady-state center-of-mass concentration profiles predicted by theory, using far-field and single-reflection approximations, and the BD simulation at , 5, and 20 in shear flow.

Image of FIG. 8.
FIG. 8.

Steady-state center-of-mass concentration profiles predicted by the BD simulation at in shear flow, for different polymer discretizations: , 5, and 10.

Image of FIG. 9.
FIG. 9.

Schematic of two different discretization levels of the same molecule (a) dumbbell: the effect of the molecule on the solvent is approximated as two point forces with large separation; (b) chain: the effect of the molecule on the solvent is approximated as several point forces with smaller separation.

Image of FIG. 10.
FIG. 10.

Steady-state center-of-mass concentration profiles predicted by the theory, using far-field and single-reflection approximations, and the BD simulation at in shear flow. The steady-state center-of-mass concentration profile at equilibrium and the bead-distribution from the simulation at are also shown.

Image of FIG. 11.
FIG. 11.

Steady-state center-of-mass concentration profiles predicted by the BD simulation of chains for a highly confined polymer solution, .

Image of FIG. 12.
FIG. 12.

Steady-state bead-concentration profiles predicted by the BD simulation of chains for a highly confined polymer solution, .

Image of FIG. 13.
FIG. 13.

Polymer stretch as a function of the wall-normal direction, , for (no flow); .

Image of FIG. 14.
FIG. 14.

Polymer stretch in the flow direction, , as a function of the wall normal direction, ; .

Image of FIG. 15.
FIG. 15.

Polymer stretch in the confined direction, , as a function of the wall normal direction, ; .

Image of FIG. 16.
FIG. 16.

Schematic of the hydrodynamic migration mechanism (a) : wall-induced migration—momentum diffusion to the wall and back to the particle is fast; (b) : No wall-induced migration—the shear flow distorts the velocity perturbation due to the particle so that the particle is not affected by the presence of the wall.

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2006-12-06
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Cross-stream-line migration in confined flowing polymer solutions: Theory and simulation
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/12/10.1063/1.2397571
10.1063/1.2397571
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