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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