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Designing patterned substrates to regulate the movement of capsules in microchannels
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10.1063/1.2940202
/content/aip/journal/jcp/128/23/10.1063/1.2940202
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/23/10.1063/1.2940202
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic of the three different patterned substrates considered in this study. (a) Y shaped pattern where the branch on the right is more adhesive than the stem and the branch on the left is mechanically softer than the stem. (b) Parallel branches with mechanical and chemical patterning and spatial asymmetry around the centerline. Again, the patch on the right is more adhesive than the stem and the patch on the left is softer than the stem. (c) Parallel branches with only chemical patterning and spatial asymmetry around the centerline. Note that the figures are not drawn to scale.

Image of FIG. 2.
FIG. 2.

Snapshots of capsule motion on the patterned substrate under an imposed shear flow with . Images in (a)–(c) are for a stiff capsule characterized by and images in (d)–(f) are for a soft capsule characterized by . The delivery patch is outlined in blue. The stiff capsule moves towards the soft branch (outlined in red), while the soft capsule deforms and moves towards the sticky branch (outlined in green). The coloration of the soft capsule indicates the strain within the shell. The trajectory of each particle is marked in black on the surface.

Image of FIG. 3.
FIG. 3.

(a) Trajectories for stiff capsules (; hollow symbols) and soft capsule (; solid symbols) at on the Y pattern in Fig. 1(a). The total energy of the system is shown as a function of for a stiff capsule in (b) and a soft capsule in (c). The three slices marked in (a) for the energy are at (circles), , (squares) and (triangles). The abscissas in (b) and (c) are inverted for an easy transformation and superposition on the geometry layout in (a). As can be seen, the capsules follow the branch where the total energy is minimized.

Image of FIG. 4.
FIG. 4.

Separation diagrams for stiff and soft capsules as a function of the relative adhesion and branch stiffness in (a) and (b) and as a function of vs (the distance between asymmetric branches) in (c). The labels (a)–(c) refer to the respective geometries in Fig. 1. The symbols in the graphs signify the following: for R, both capsules move towards the most adhesive branch (right branch in Fig. 1), for L, both capsules move towards the soft/least adhesive branch (left branch in Fig. 1), and for V, the capsules are separated.

Image of FIG. 5.
FIG. 5.

(a) Trajectories for a stiff capsule (; hollow symbols) and a soft capsule (; solid symbols) at on the structure in Fig. 1(b). The total energy of the system is shown as a function of for a stiff capsule in (b) and a soft capsule in (c). The energy is measured at where the capsules do not feel the effect of the delivery patch. The abscissas in (b) and (c) are inverted for an easy transformation and superposition on the geometry layout in (a).

Image of FIG. 6.
FIG. 6.

(a) Trajectories for a stiff capsule (, hollow symbols) and a soft capsule (, solid symbols) at on the structure in Fig. 1(c). The total energy of the system is shown as a function of for a stiff capsule in (b) and a soft capsule in (c). The energy is measured at where the capsules do not feel the effect of the delivery patch. The abscissas in (b) and (c) are inverted for an easy transformation and superposition on the geometry layout in (a).

Image of FIG. 7.
FIG. 7.

Trajectories for a soft (, solid symbols) and a stiff capsule (, hollow symbols) for different imposed shear rates. Here, and for (a), and for (b), and and . The labels (a)–(c) in this figure refer to the respective geometries in Fig. 1. The parallel patch geometries [(b) and (c)] show a clear separation even at the higher shear rates.

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/content/aip/journal/jcp/128/23/10.1063/1.2940202
2008-06-18
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Designing patterned substrates to regulate the movement of capsules in microchannels
http://aip.metastore.ingenta.com/content/aip/journal/jcp/128/23/10.1063/1.2940202
10.1063/1.2940202
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