Biomedical Engineering Reference
In-Depth Information
FIGURE 6.17
Rotation mixer: (a) counter-clockwise and (b) clockwise (after [24] ).
the fluid flowing along the channel will follow a helical path ( Fig. 6.20 ). For a small ridge height ( h /
H
0.3), the shape of the trajectory is independent of the Reynolds number for a relatively wide range
of Reynolds numbers (Re
<
<
100) [25] . For small ridges ( h H ) and a flat channel HW , the change
DF
of angular displacement
along the flow direction can be estimated as [25]
" 4 h sinh ð 2 h Þ 2 ðh Þ
# sin q cos q p
H þ W
2 coth ðh Þ
d
DF
d x ¼ a
2 3
4 h
(6.9)
sinh 2
2
ðh Þðh Þ
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