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Hydrodynamic interaction of a pair of drops in a confined shear for Ca = 0.2, L y = 5a, Δx 0/a = 2.5, and Δy 0/a = 0.25. Drops travel towards the center of the domain.
(a) Relative trajectory of the drops at Ca = 0.2, Δx 0/a = 2.5, and Δy 0/a = 0.25 for different L y values. (b) The actual trajectories in the domain L y = 4.5a.
Effects of the initial positions on the relative trajectory: (a) Variation of initial separation in the flow direction Δx 0/a for Δy 0/a = 0.50, Ca = 0.20, and L y = 5a. (b) Effects of initial separation in the gradient direction Δy 0/a for Δx 0/a = 2.50 in the same domain and for the same capillary number.
(a) Effects of the initial separation in vorticity direction on the relative trajectory of a pair of drops at Δx 0/a = 2.5, Δy 0/a = 0.25, Ca = 0.20, and L y = 5a. (b) Effects of Δz 0/a on Δx final /a and y max /a.
(a) Effects of confinement in the gradient direction (L y ) on Δx final at Ca = 0.20. (b) Δx final increases linearly with 1/Ca.
(a) Variation of lateral velocity of the drops with y after collision with increasing confinement from the top at Ca = 0.20 along with analytical results (straight lines) of Chan and Leal. 31 (b) The scaling of velocity with L y .
(a) Variation of the post-collision lateral velocity of the drops with y at different Ca in the confined domain L y = 6a. (b) The scaling of velocity with capillary numbers.
(a) Composite scaling of Δx final /a with L y and Ca for many different values of L y and Ca. (b) The relative trajectory of the drops with appropriate scaling.
(a) Effects of λ on the relative trajectory of a pair of drops at Δx 0/a = 2.5, Δy 0/a = 0.25, Δz 0/a = 0, Ca = 0.20, and L y = 5a. (b) The effect of λ on Δx final /a.
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