Biomedical Engineering Reference
In-Depth Information
Figure 2.57
Toroidalcoordinatesystem.
2
2
A De
(
) (
)
2
2
2
2
2
2
4
4
u
=
1
-
x
-
y
4 5
-
x
-
23
y
+
8
x y
+
x
+
7
y
4468
(2.98)
2
2
A De
(
)
(
)
2
2
2
2
v
=
1
-
x
-
y
x y
3
-
x
-
y
1152
where
A
is a dimensionless parameter linked to the overall pressure gradient driving
the flow, defined by
2
R
∂
P
A
=
µ
V R
∂
θ
c
At the center of the tube (
x
= 0,
y
= 0) there is an outward component of
the velocity
2
2
A De
(
)
u
=
. Note that the pressure isosurfaces are still planes
perpendicular to the channel axis (Figure 2.58).
0,0
1117
Figure 2.58
PressureisosurfacesofaDeanlowarestillplanesperpendiculartothechannelaxis.
