Biomedical Engineering Reference
In-Depth Information
5
4.5
R
g
= 10
Ω
4
3.5
R
g
= 50
Ω
3
2.5
2
1.5
1
R
g
= 1000
Ω
0.5
0
0
0.1
0.2
0.3
0.4
0.5
Time (sec)
FIGURE 6.17
Variation of maximum tip deflection
δ
max
versus the average electric field
E
and time
t
.
18
16
14
E = 100,000 V/m
12
10
8
6
E = 30,000 V/m
4
2
E = 10,000 V/m
0
0
0.1
0.2
0.3
0.4
0.5
Time (sec)
FIGURE 6.18
Variation of maximum tip deflection δ
max
versus average cross-resistance
R
g
and time
t
.
concentrate on the flow of liquid solvent containing counter-ions into and out of the
gel network resembling electrocapillary flows. Thus, we employ the conservation
laws—namely, conservation of mass and momentum—to arrive at the following
governing differential equation for the flow of counter-ions containing solvent into
and out of the gel macromolecular network:
dv
dt
ρ
=+
ρ
g
ρ
*
E v
+∇−∇
µ
2
p
(6.73)
