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Pair collisions of fluid-filled elastic capsules in shear flow: Effects of membrane properties and polymer additives
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10.1063/1.3524531
/content/aip/journal/pof2/22/12/10.1063/1.3524531
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/12/10.1063/1.3524531
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of pair collisions of fluid-filled elastic capsules in shear flow of a very dilute polymer solution.

Image of FIG. 2.
FIG. 2.

(a) Deformation parameter as a function of time for single nonprestressed NH capsules in shear flow in a cubic box of size . Symbols are simulations from Lac et al. (Ref. 37). Lines are results from the present work. (b) Steady-state deformation parameter as a function of Ca for single nonprestressed NH capsules in shear flow in a cubic box of size . For comparison, the results of Doddi and Bagchi (Ref. 44) (DB), Lac et al. (Ref. 37) (LB), and Ramanujan and Pozrikidis (Ref. 29) (RP) are also shown.

Image of FIG. 3.
FIG. 3.

Relative deviation of deformation parameter compared to the result of Lac et al. (Ref. 37) plotted as a function of the normalized regularization parameter for a single nonprestressed NH capsule in shear flow at in a cubic box of size .

Image of FIG. 4.
FIG. 4.

Steady-state deformation parameter at low Ca for single nonprestressed NH and Skalak (SK) capsules in shear flow in a cubic box of size . Lines are theoretical predictions from Barthès-Biesel et al. (Ref. 36) and symbols are from the present simulations.

Image of FIG. 5.
FIG. 5.

Steady-state values of deformation parameter at different Ca for single nonprestressed NH and SK capsules (shown by bold lines) and for preinflated NH and SK capsules (shown by dotted lines) in shear flow.

Image of FIG. 6.
FIG. 6.

Deformation parameter for preinflated NH and SK capsules under shear flow in a cubic box of size . Images correspond to capsule shapes taken at .

Image of FIG. 7.
FIG. 7.

Pair collisions of preinflated NH capsules in a Newtonian fluid in a cubic box of size . Relative separation of the two capsules in the direction is plotted as a function of the relative separation in the direction : (a) NH capsules at . Symbols are simulations results of Lac et al. (Ref. 39) and lines are present simulations. (b) Effect of varying screening parameter on the collision dynamics of NH capsules at .

Image of FIG. 8.
FIG. 8.

Relative trajectories for pair collisions of preinflated NH capsules in a Newtonian fluid at different Ca. Images correspond to snapshots taken at collision .

Image of FIG. 9.
FIG. 9.

Relative trajectories for pair collisions of preinflated NH and SK capsules in a Newtonian fluid at different Ca. Images correspond to snapshots taken at collision .

Image of FIG. 10.
FIG. 10.

Deformation parameter as a function of the relative separation in the streamwise direction for pair collisions of preinflated NH and SK capsules in a Newtonian fluid.

Image of FIG. 11.
FIG. 11.

Relative trajectories for pair collisions of preinflated NH and SK capsules in a Newtonian fluid (thick lines) and polymeric fluid (thin lines, ).

Image of FIG. 12.
FIG. 12.

Relative trajectories for pair collisions of NH and SK capsules with different initial separations in Newtonian (thick lines) and polymeric (thin lines, ) fluids. The initial -separation is subtracted off to facilitate comparison of the results. Note: Newtonian and polymeric results for the NH cases are too close to each other to be distinguishable on the plot.

Image of FIG. 13.
FIG. 13.

Variation of the relative trajectories with nondimensional area dilation modulus, , for SK capsules in Newtonian (thick lines) and polymeric (thin lines, ) fluid.

Image of FIG. 14.
FIG. 14.

Relative trajectories as a function of for SK capsules under shear flow in a Newtonian (thick lines) and polymeric (thin lines) fluid. The inset shows the difference in of SK capsules at in Newtonian and polymeric fluid plotted against .

Image of FIG. 15.
FIG. 15.

Variation of (a) maximum displacement and (b) net final displacement with Ca for NH and SK capsules in Newtonian (thick lines) and polymeric (thin lines, ) fluid. Note: is calculated at .

Image of FIG. 16.
FIG. 16.

Largest eigenvalue of the deformation rate at the origin as a function of for pair collisions under various conditions. Thick lines are from Newtonian simulations; thin lines are from simulations with polymers, .

Image of FIG. 17.
FIG. 17.

(a) Schematic of different length scales associated with the conventional immersed boundary method. (b) Schematic of different length scales associated with IBM/GGEM.

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/content/aip/journal/pof2/22/12/10.1063/1.3524531
2010-12-08
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Pair collisions of fluid-filled elastic capsules in shear flow: Effects of membrane properties and polymer additives
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/12/10.1063/1.3524531
10.1063/1.3524531
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