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Fig. 6.4 A model squirmer. To p ( left ) a schematic of an axisymmetric surface velocity u θ =
B 1 sin
θ + B 2 /
θ
on a sphere. To p ( right ) the surface velocity at different relative strengths
of the spherical harmonic modes and ( Bottom ) their corresponding flow fields.
2sin2
β =
0 corresponds
to a neutral squirmer and
β<
0 is a pusher and
β>
0 is a puller
2
sin
a 3
r 3
,θ) =−
v
2
v θ (
r
+
(θ)
(6.6)
r 3 in three-
As we can see in Eq. 6.6 , the flow field perturbation decays as
1
/
r 2 [ 30 ]. In order to determine the
flow profile around the swimming drop, we performed
dimensions and in two-dimensions, it decays as
1
/
PIV using a standard setup
(ILA GmbH). The oil phase is seeded with 200 nm green fluorescent polystyrene
beads (Duke Scientific) to be used as tracers. The result is shown in Fig. 6.5 , and
µ
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