Slide 74
Slide 74 text
In the co-moving frame of the droplet, the
fl
ow speed at in
fi
nity equals the swim speed U
Active droplet: theory
21
vr(r = R) = ˜
vr(r = R) = 0,
v✓(r = R) = ˜
v✓(r = R),
( ˜) · ˆ
r = (r · ˆ
r) ˆ
r r , at r = R.
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no-
fl
ux
continuity of tangential surface slip velocity
Cauchy stress is related to the surface tension
RS, Tjhung and Cates, Phys Rev Research 2020
vx =
@#
@y
, vy =
@#
@x
, vr =
1
r
@#
@✓
, v✓ =
@#
@r
.
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#(r, ✓) = f(r) sin ✓
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stream function
r4# = 0
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