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Spatial ordering due to hydrodynamic interactions between a pair of colliding drops in a confined shear
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10.1063/1.4805082
/content/aip/journal/pof2/25/5/10.1063/1.4805082
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4805082
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Hydrodynamic interaction of a pair of drops in a confined shear for = 0.2, = 5, Δ / = 2.5, and Δ / = 0.25. Drops travel towards the center of the domain.

Image of FIG. 2.
FIG. 2.

(a) Relative trajectory of the drops at = 0.2, Δ / = 2.5, and Δ / = 0.25 for different values. (b) The actual trajectories in the domain = 4.5.

Image of FIG. 3.
FIG. 3.

Effects of the initial positions on the relative trajectory: (a) Variation of initial separation in the flow direction Δ / for Δ / = 0.50, = 0.20, and = 5. (b) Effects of initial separation in the gradient direction Δ / for Δ / = 2.50 in the same domain and for the same capillary number.

Image of FIG. 4.
FIG. 4.

(a) Effects of the initial separation in vorticity direction on the relative trajectory of a pair of drops at Δ / = 2.5, Δ / = 0.25, = 0.20, and = 5. (b) Effects of Δ / on Δ / and /.

Image of FIG. 5.
FIG. 5.

(a) Effects of confinement in the gradient direction ( ) on Δ at 0.20. (b) Δ increases linearly with 1/.

Image of FIG. 6.
FIG. 6.

(a) Variation of lateral velocity of the drops with after collision with increasing confinement from the top at = 0.20 along with analytical results (straight lines) of Chan and Leal. (b) The scaling of velocity with .

Image of FIG. 7.
FIG. 7.

(a) Variation of the post-collision lateral velocity of the drops with y at different in the confined domain = 6. (b) The scaling of velocity with capillary numbers.

Image of FIG. 8.
FIG. 8.

(a) Composite scaling of Δ / with and for many different values of  and . (b) The relative trajectory of the drops with appropriate scaling.

Image of FIG. 9.
FIG. 9.

(a) Effects of λ on the relative trajectory of a pair of drops at Δ / = 2.5, Δ / = 0.25, Δ / = 0, = 0.20, and = 5. (b) The effect of λ on Δ /.

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/content/aip/journal/pof2/25/5/10.1063/1.4805082
2013-05-21
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spatial ordering due to hydrodynamic interactions between a pair of colliding drops in a confined shear
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/5/10.1063/1.4805082
10.1063/1.4805082
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