Biomedical Engineering Reference
In-Depth Information
4
(a)
3
2
1
0
0
0.3
0.6
0.9
1.2
1.5
-1
-2
-3
-4
Radial distance from the center of cartilage (mm)
4
(b)
3
2
1
0
0
0.3
0.6
0.9
1.2
1.5
-1
-2
-3
-4
Radial distance from the center of cartilage (mm)
4
3
(c)
2
1
0
0
0.3
0.6
0.9
1.2
1.5
-1
-2
-3
-4
Radial distance from the center of cartilage (mm)
FIGURE 11.5
The Darcy velocity at multiple stages within the first loading cycle as a func-
tion of the radical distance from the center of the cartilage for (a) 0.1 Hz,
(b) 0.01 Hz, and (c) 0.001 Hz at 10% strain, respectively. It can be seen that a
high-frequency dynamic loading (i.e., 0.1 Hz) induces higher Darcy velocities
in the periphery region, intermediate-frequency loading (i.e., 0.01 Hz) pro-
duces lower Darcy's velocities but over a wider spatial distance, whereas low-
frequency loading (i.e., 0.001 Hz) results in little fluid movement. Any poten-
tial enhancement of transport due to advection is constrained to the regions
of nonzero Darcy velocities. Once these regions become saturated by solute,
the transport through the remaining cartilage is equivalent to free diffusion.
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